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Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze最新文献

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Structure of level sets and Sard-type properties of Lipschitz maps 水平集的结构和Lipschitz映射的sard型性质
IF 1.4 2区 数学
Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2013-01-01 DOI: 10.2422/2036-2145.201107_006
G. Alberti, S. Bianchini, Gianluca Crippa
{"title":"Structure of level sets and Sard-type properties of Lipschitz maps","authors":"G. Alberti, S. Bianchini, Gianluca Crippa","doi":"10.2422/2036-2145.201107_006","DOIUrl":"https://doi.org/10.2422/2036-2145.201107_006","url":null,"abstract":"We consider certain properties of maps of class C 2 from R d to R d 1 that are strictly related to Sard's theorem, and show that some of them can be extended to Lipschitz maps, while others still require some additional regularity. We also give examples showing that, in term of regularity, our results are optimal.","PeriodicalId":50966,"journal":{"name":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","volume":"26 1","pages":"863-902"},"PeriodicalIF":1.4,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75831107","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: 84
Torus action on S^n and sign changing solutions for conformally invariant equations 环面作用于S^n及保形不变方程的变符号解
IF 1.4 2区 数学
Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2013-01-01 DOI: 10.2422/2036-2145.201010_011
M. Pino, M. Musso, F. Pacard, A. Pistoia
{"title":"Torus action on S^n and sign changing solutions for conformally invariant equations","authors":"M. Pino, M. Musso, F. Pacard, A. Pistoia","doi":"10.2422/2036-2145.201010_011","DOIUrl":"https://doi.org/10.2422/2036-2145.201010_011","url":null,"abstract":"— We construct sequences of sign changing solutions for some conformally invariant semilinear elliptic equation which is defined in Sn, when n ≥ 4. The solutions we obtain have large energy and concentrate along some special submanifolds of Sn. For example, when n ≥ 4, we obtain sequences of solutions whose energy concentrates along one great circle or finitely many great circles which are linked (they correspond to Hopf links embedded in S3 × {0} ⊂ Sn). In dimension n ≥ 5, we obtain sequences of solutions whose energy concentrates along a two dimensional torus (which corresponds to a Clifford torus embedded in S3 × {0} ⊂ Sn).","PeriodicalId":50966,"journal":{"name":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","volume":"2 1","pages":"209-237"},"PeriodicalIF":1.4,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81526229","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: 74
A Carleson-type estimate in Lipschitz type domains for non-negative solutions to Kolmogorov operators Kolmogorov算子非负解的Lipschitz型域上的carleson型估计
IF 1.4 2区 数学
Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2013-01-01 DOI: 10.2422/2036-2145.201103_005
C. Cinti, K. Nyström, S. Polidoro
{"title":"A Carleson-type estimate in Lipschitz type domains for non-negative solutions to Kolmogorov operators","authors":"C. Cinti, K. Nyström, S. Polidoro","doi":"10.2422/2036-2145.201103_005","DOIUrl":"https://doi.org/10.2422/2036-2145.201103_005","url":null,"abstract":"We prove a Carleson type estimate, in Lipschitz type domains, for non-negative solutions to a class of second order degenerate differential operators of Kolmogorov type of the form L = Sigma(m)(i,j ...","PeriodicalId":50966,"journal":{"name":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","volume":"34 1","pages":"439-465"},"PeriodicalIF":1.4,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82696908","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: 9
Varieties with $q(X)=dim(X)$ and $P_2(X)=2$ $q(X)=dim(X)$和$P_2(X)=2$的变种
IF 1.4 2区 数学
Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2012-07-03 DOI: 10.2422/2036-2145.201007_002
Z. Jiang
{"title":"Varieties with $q(X)=dim(X)$ and $P_2(X)=2$","authors":"Z. Jiang","doi":"10.2422/2036-2145.201007_002","DOIUrl":"https://doi.org/10.2422/2036-2145.201007_002","url":null,"abstract":"We give a complete description of all smooth projective complex \u0000varieties with q(X) = dim(X) and P2(X) = 2.","PeriodicalId":50966,"journal":{"name":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","volume":"13 1","pages":"243-258"},"PeriodicalIF":1.4,"publicationDate":"2012-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88449003","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: 5
Control theorems for l-adic Lie extensions of global function fields 全局函数域l进李扩展的控制定理
IF 1.4 2区 数学
Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2012-06-13 DOI: 10.2422/2036-2145.201304_001
A. Bandini, M. Valentino
{"title":"Control theorems for l-adic Lie extensions of global function fields","authors":"A. Bandini, M. Valentino","doi":"10.2422/2036-2145.201304_001","DOIUrl":"https://doi.org/10.2422/2036-2145.201304_001","url":null,"abstract":"Let F be a global function field of characteristic p > 0, K/F an l-adic Lie extension unramified outside a finite set of places S and A/F an abelian variety. We study SelA(K) ∨ (the Pontrjagin dual of the Selmer group) and (under some mild hypotheses) prove that it is a finitely generated Zl((Gal(K/F)))-module via generalizations of Mazur's Control Theorem. If Gal(K/F) has no elements of order l and contains a closed normal subgroup H such that Gal(K/F)/H ≃ Zl, we are able to give sufficient conditions forSelA(K) ∨ to be finitely generated as Zl((H))-module and, consequently, a torsion Zl((Gal(K/F)))-module. We deal with both cases l 6 p and l = p.","PeriodicalId":50966,"journal":{"name":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","volume":"26 1","pages":"1065-1092"},"PeriodicalIF":1.4,"publicationDate":"2012-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90581875","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: 5
Heights of points with bounded ramification 具有有界分支的点的高度
IF 1.4 2区 数学
Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2012-01-16 DOI: 10.2422/2036-2145.201302_002
Lukas Pottmeyer
{"title":"Heights of points with bounded ramification","authors":"Lukas Pottmeyer","doi":"10.2422/2036-2145.201302_002","DOIUrl":"https://doi.org/10.2422/2036-2145.201302_002","url":null,"abstract":"Let E be an elliptic curve defined over a number field K with fixed non-archimedean absolute value v of split-multiplicative reduction, and let f be an associated Lattes map. Baker proved in [3] that the Neron-Tate height on E is either zero or bounded from below by a positive constant, for all points of bounded ramification over v. In this paper we make this bound effective and prove an analogue result for the canonical height associated to f. We also study variations of this result by changing the reduction type of E at v. This will lead to examples of fields F such that the Neron-Tate height on non-torsion points in E (F) is bounded from below by a positive constant and the height associated to f gets arbitrarily small on F.","PeriodicalId":50966,"journal":{"name":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","volume":"28 1","pages":"965-981"},"PeriodicalIF":1.4,"publicationDate":"2012-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78202125","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: 6
Ambient metrics with exceptional holonomy 具有特殊完整性的环境参数
IF 1.4 2区 数学
Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2012-01-01 DOI: 10.2422/2036-2145.201003_009
T. Leistner, P. Nurowski
{"title":"Ambient metrics with exceptional holonomy","authors":"T. Leistner, P. Nurowski","doi":"10.2422/2036-2145.201003_009","DOIUrl":"https://doi.org/10.2422/2036-2145.201003_009","url":null,"abstract":"We present conformal structures in signature (3, 2) for which the holonomy of the Fefferman-Graham ambient metric is equal to the non-compact exceptional Lie group G2(2). We write down the resulting 8-parameter family of G2(2)-metrics in dimension seven explicitly in an appropriately chosen coordinate system on the ambient space.","PeriodicalId":50966,"journal":{"name":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","volume":"4 1","pages":"407-436"},"PeriodicalIF":1.4,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73888390","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: 17
DIFFERENTIABLE STRUCTURES ON METRIC MEASURE SPACES: A PRIMER 度量度量空间上的可微结构
IF 1.4 2区 数学
Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2011-08-05 DOI: 10.2422/2036-2145.201403_004
B. Kleiner, J. Mackay
{"title":"DIFFERENTIABLE STRUCTURES ON METRIC MEASURE SPACES: A PRIMER","authors":"B. Kleiner, J. Mackay","doi":"10.2422/2036-2145.201403_004","DOIUrl":"https://doi.org/10.2422/2036-2145.201403_004","url":null,"abstract":"This is an exposition of the theory of differentiable structures onmetric \u0000measure spaces, in the sense of Cheeger and Keith","PeriodicalId":50966,"journal":{"name":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","volume":"66 1","pages":"41-64"},"PeriodicalIF":1.4,"publicationDate":"2011-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80367090","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: 52
Symmetries of F-manifolds with eventual identities and special families of connections 具有最终恒等式和特殊连接族的f流形的对称性
IF 1.4 2区 数学
Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2011-03-10 DOI: 10.2422/2036-2145.201205_010
L. David, I. Strachan
{"title":"Symmetries of F-manifolds with eventual identities and special families of connections","authors":"L. David, I. Strachan","doi":"10.2422/2036-2145.201205_010","DOIUrl":"https://doi.org/10.2422/2036-2145.201205_010","url":null,"abstract":"We construct a duality for F-manifolds with eventual identities and certain special families of connections and we study its interactions with several well-known constructions from the theory of Frobenius and F-manifolds.","PeriodicalId":50966,"journal":{"name":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","volume":"26 1","pages":"641-674"},"PeriodicalIF":1.4,"publicationDate":"2011-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86474663","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: 8
MULTIPLY MONOGENIC ORDERS 增加单基因序列
IF 1.4 2区 数学
Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2011-03-01 DOI: 10.2422/2036-2145.201107_005
Attila B'erczes, J. Evertse, K'alm'an GyHory
{"title":"MULTIPLY MONOGENIC ORDERS","authors":"Attila B'erczes, J. Evertse, K'alm'an GyHory","doi":"10.2422/2036-2145.201107_005","DOIUrl":"https://doi.org/10.2422/2036-2145.201107_005","url":null,"abstract":"Let A = Z(x1;:::;xr) Z be a domain which is nitely gen- erated over Z and integrally closed in its quotient eld L. Further, let K be a nite extension eld of L. An A-order in K is a domainO A with quotient eld K which is integral overA. A-orders inK of the typeA( ) are called monogenic. It was proved by Gy} ory (10) that for any given A-order O in K there are at most nitely many A-equivalence classes of 2 O with A( ) = O, where two elements ; of O are called A-equivalent if = u +a for some u2 A , a2 A. If the number of A-equivalence classes of with A( ) =O is at least k, we callO k times monogenic. In this paper we study orders which are more than one time monogenic.","PeriodicalId":50966,"journal":{"name":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","volume":"2 1","pages":"467-497"},"PeriodicalIF":1.4,"publicationDate":"2011-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84538716","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: 13
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