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Orbifold thechniques in degeneration formulas 退化公式中的轨道技术
IF 1.4 2区 数学
Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2016-06-28 DOI: 10.2422/2036-2145.201408_006
D. Abramovich, B. Fantechi
{"title":"Orbifold thechniques in degeneration formulas","authors":"D. Abramovich, B. Fantechi","doi":"10.2422/2036-2145.201408_006","DOIUrl":"https://doi.org/10.2422/2036-2145.201408_006","url":null,"abstract":"We give a new approach for relative and degenerate Gromov-Witten \u0000invariants, inspired by that ofJun Li but replacing predeformable maps by transversal \u0000maps to a twisted target. The main advantage is a significant simplification in \u0000the definition of the obstruction theory. We reprove in our language the degeneration \u0000formula, extending it to the orbifold case","PeriodicalId":50966,"journal":{"name":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","volume":"2 1","pages":"519-579"},"PeriodicalIF":1.4,"publicationDate":"2016-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88042494","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 23
Boundary asymptotic expansions of analytic self-mappings of the unit disk 单位圆盘解析自映射的边界渐近展开式
IF 1.4 2区 数学
Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2016-02-25 DOI: 10.2422/2036-2145.201308_001
V. Bolotnikov, M. Elin, D. Shoikhet
{"title":"Boundary asymptotic expansions of analytic self-mappings of the unit disk","authors":"V. Bolotnikov, M. Elin, D. Shoikhet","doi":"10.2422/2036-2145.201308_001","DOIUrl":"https://doi.org/10.2422/2036-2145.201308_001","url":null,"abstract":"We present necessary and sufficient conditions for the existence and \u0000for the uniqueness of an analytic self-mapping of the open unit disk having prescribed \u0000non-tangential boundary asymptotics at finitely many preassigned boundary \u0000points.","PeriodicalId":50966,"journal":{"name":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","volume":"8 1","pages":"399-433"},"PeriodicalIF":1.4,"publicationDate":"2016-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82914016","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
On the Hilbert function of lines union one non-reduced point 关于希尔伯特函数的直线并集一个非约化点
IF 1.4 2区 数学
Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2016-01-01 DOI: 10.2422/2036-2145.201309_001
E. Carlini, M. Catalisano, A. Geramita
{"title":"On the Hilbert function of lines union one non-reduced point","authors":"E. Carlini, M. Catalisano, A. Geramita","doi":"10.2422/2036-2145.201309_001","DOIUrl":"https://doi.org/10.2422/2036-2145.201309_001","url":null,"abstract":"Polito SFX(opens in a new window)| Export | Download | Add to List | More... Annali della Scuola normale superiore di Pisa - Classe di scienze Volume 15, 2016, Pages 69-84 On the Hilbert function of lines union one non-reduced point (Article) Carlini, E.a , Catalisano, M.V.bc , Geramita, A.V.d a Dipartimento di Scienze Matematiche, Politecnico di Torino, Corso Duca Degli Abbruzzi 24, Torino, Italy b DIME Dipartimento di Ingegneria Meccanica Energetica Gestionale E Dei Trasporti, Universita Degli Studi di Genova, Piazzale Kennedy pad. D, Genova, Italy c Department of Mathematics and Statistics, Queen's University, Kingston, ON, Canada View additional affiliations View references (18) Abstract In this paper we consider the problem of determining the Hilbert function of schemes XcP which are the generic union of s lines and one m- multiple point. We completely solve this problem for any s and m when n ≥ 4. When n = 3 we find several defective such schemes and conjecture that they are the only ones. We verify this conjecture in several cases.","PeriodicalId":50966,"journal":{"name":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","volume":"7 1","pages":"69-84"},"PeriodicalIF":1.4,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87418267","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
Sobolev extension property for tree-shaped domains with self-contacting fractal boundary 具有自接触分形边界的树形区域的Sobolev可拓性
IF 1.4 2区 数学
Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2016-01-01 DOI: 10.2422/2036-2145.201307_008
Thibaut Deheuvels
{"title":"Sobolev extension property for tree-shaped domains with self-contacting fractal boundary","authors":"Thibaut Deheuvels","doi":"10.2422/2036-2145.201307_008","DOIUrl":"https://doi.org/10.2422/2036-2145.201307_008","url":null,"abstract":"In this paper, we investigate the existence of W1,p-extension operators for a class of bidimensional ramified domains with a self-similar fractal boundary previously studied by Mandelbrot and Frame. When the fractal boundary has no self-contact, the domains have the (E , δ)-property, and the extension results of Jones imply that there exist such extension operators for all 1 6 p 6 1. In the case where the fractal boundary self-intersects, this result does not hold. In this work we construct extension operators for 1 < p < p?, where p? depends only on the dimension of the self-intersection of the boundary. The construction of the extension operators is based on a Haar wavelet decomposition on the fractal part of the boundary. It relies mainly on the self-similar properties of the domain. The result is sharp in the sense that W1,p-extension operators fail to exist when p > p?.","PeriodicalId":50966,"journal":{"name":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","volume":"9 1","pages":"209-247"},"PeriodicalIF":1.4,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72615541","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Bergman-harmonic maps of balls 球的伯格曼调和图
IF 1.4 2区 数学
Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2016-01-01 DOI: 10.2422/2036-2145.201311_008
E. Barletta, S. Dragomir
{"title":"Bergman-harmonic maps of balls","authors":"E. Barletta, S. Dragomir","doi":"10.2422/2036-2145.201311_008","DOIUrl":"https://doi.org/10.2422/2036-2145.201311_008","url":null,"abstract":"We study Bergman-harmonic maps between balls 8 : Bn ! BN extending of class either C2 orM1 to the boundary of Bn. For every holomorphic (anti-holomorphic) map 8 : Bn ! BN extending smoothly to the boundary and every smooth homotopy H : 8 ' 9 we prove a Lichnerowicz-type (cf. [28]) result, i.e., we show that E✏ (9) # E✏ (8) + O(✏−n+1). When 8 is proper, Bergman-harmonic, and C2 up to the boundary, the boundary values map % : S2n−1 ! S2N−1 is shown to satisfy a compatibility system similar to the tangential Cauchy-Riemann equations on S2n−1 (and satisfied by the boundary values of any proper holomorphic map). For every weakly Bergman-harmonic map 8 2 W1(Bn,BN ) admitting Sobolev boundary values % 2 M1(S2n−1,BN ) in the sense of [6], the boundary values % are shown to be a weakly subelliptic harmonic map of (S2n−1, ⌘) into (BN , h), provided that 8−1rh stays bounded at the boundary of Bn and % has vanishing weak normal derivatives.","PeriodicalId":50966,"journal":{"name":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","volume":"37 1","pages":"269-307"},"PeriodicalIF":1.4,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78030098","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Finite time collapsing of the Kähler-Ricci flow on threefolds Kähler-Ricci流在三层上的有限时间坍缩
IF 1.4 2区 数学
Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2015-07-30 DOI: 10.2422/2036-2145.201508_003
Valentino Tosatti, Yuguang Zhang
{"title":"Finite time collapsing of the Kähler-Ricci flow on threefolds","authors":"Valentino Tosatti, Yuguang Zhang","doi":"10.2422/2036-2145.201508_003","DOIUrl":"https://doi.org/10.2422/2036-2145.201508_003","url":null,"abstract":"We show that if on a compact Kahler threefold there is a solution of the Kahler-Ricci flow which encounters a finite time collapsing singularity, then the manifold admits a Fano fibration. Furthermore, if there is finite time extinction then the manifold is Fano and the initial class is a positive multiple of the first Chern class.","PeriodicalId":50966,"journal":{"name":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","volume":"139 1","pages":"105-118"},"PeriodicalIF":1.4,"publicationDate":"2015-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73451392","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 20
Ergodic theorems in Quantum Probability: an application to the monotone stochastic processes 量子概率中的遍历定理:在单调随机过程中的应用
IF 1.4 2区 数学
Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2015-05-18 DOI: 10.2422/2036-2145.201506_009
V. Crismale, F. Fidaleo, Y. Lu
{"title":"Ergodic theorems in Quantum Probability: an application to the monotone stochastic processes","authors":"V. Crismale, F. Fidaleo, Y. Lu","doi":"10.2422/2036-2145.201506_009","DOIUrl":"https://doi.org/10.2422/2036-2145.201506_009","url":null,"abstract":"We give sufficient conditions ensuring the strong ergodic property of unique mixing for $C^*$-dynamical systems arising from Yang-Baxter-Hecke quantisation. We discuss whether they can be applied to some important cases including monotone, Boson, Fermion and Boolean $C^*$-algebras in a unified version. The monotone and the Boolean cases are treated in full generality, the Bose/Fermi cases being already widely investigated. In fact, on one hand we show that the set of stationary stochastic processes are isomorphic to a segment in both the situations, on the other hand the Boolean processes enjoy the very strong property of unique mixing with respect to the fixed point subalgebra and the monotone ones do not","PeriodicalId":50966,"journal":{"name":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","volume":"26 1","pages":"113-141"},"PeriodicalIF":1.4,"publicationDate":"2015-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84996108","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 21
Deformations and Moduli of Structures on Manifolds: General Existence Theorem and Application to the Sasakian Case 流形上结构的变形与模:一般存在定理及其在Sasakian情形中的应用
IF 1.4 2区 数学
Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2015-03-27 DOI: 10.2422/2036-2145.201505_005
L. Meersseman, M. Nicolau
{"title":"Deformations and Moduli of Structures on Manifolds: General Existence Theorem and Application to the Sasakian Case","authors":"L. Meersseman, M. Nicolau","doi":"10.2422/2036-2145.201505_005","DOIUrl":"https://doi.org/10.2422/2036-2145.201505_005","url":null,"abstract":"In this paper we deal with the moduli problem for geometric structures \u0000on manifolds. We prove an existence theorem of a local moduli space in a very \u0000general setting. Then, to show the strength of this result, we apply it to the case of \u0000Sasakian and Sasaki-Einstein structures for which until now only partial results \u0000were known.","PeriodicalId":50966,"journal":{"name":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","volume":"31 1","pages":"19-63"},"PeriodicalIF":1.4,"publicationDate":"2015-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90181276","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
C∞-hypoellipticity and extension of CR functions CR函数的C∞-亚椭圆性与扩展
IF 1.4 2区 数学
Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2015-01-01 DOI: 10.2422/2036-2145.201107_004
M. Nacinovich, E. Porten
{"title":"C∞-hypoellipticity and extension of CR functions","authors":"M. Nacinovich, E. Porten","doi":"10.2422/2036-2145.201107_004","DOIUrl":"https://doi.org/10.2422/2036-2145.201107_004","url":null,"abstract":"Let M be a CR submanifold of a complex manifold X. The main result of this article is to show that CR-hypoellipticity at p0 ϵ M is necessary and sufficient for holomorphic extension of all germs at p0 of CR functions on M to an ambient neighborhood of p0 in X. As an application, we obtain that CR-hypoellipticity implies the existence of global generic embeddings and prove holomorphic extension for a large class of CR manifolds satisfying a higher order Levi pseudoconcavity condition. We also obtain results on the relationship of holomorphic wedge-extension and the C∞-wave front set for CR distributions.","PeriodicalId":50966,"journal":{"name":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","volume":"18 1","pages":"677-703"},"PeriodicalIF":1.4,"publicationDate":"2015-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78282056","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Symmetrization of Poisson's equation with Neumann Boundary Conditions Poisson方程与Neumann边界条件的对称性
IF 1.4 2区 数学
Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2015-01-01 DOI: 10.2422/2036-2145.201209_003
J. Langford
{"title":"Symmetrization of Poisson's equation with Neumann Boundary Conditions","authors":"J. Langford","doi":"10.2422/2036-2145.201209_003","DOIUrl":"https://doi.org/10.2422/2036-2145.201209_003","url":null,"abstract":"In this paper, we compare the solutions of two PDEs with Neumann boundary conditions, one with given initial data and one with cap symmetrized data. We show that the solution with cap symmetrized data is itself cap symmetrized and exhibits larger convex means. As corollaries, we prove comparison results on spheres and hemispheres, and prove a conjecture of B. Kawohl.","PeriodicalId":50966,"journal":{"name":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","volume":"18 12","pages":"1025-1063"},"PeriodicalIF":1.4,"publicationDate":"2015-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72399090","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 20
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