发布求助
文献互助 智能选刊 最新文献

REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES最新文献

筛选
英文 中文
SINGULAR HOLOMORPHIC MORSE INEQUALITIES ON NON-COMPACT MANIFOLDS 非紧流形上的奇异全纯莫尔斯不等式
IF 0.3
REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES Pub Date : 2023-04-26 DOI: 10.59277/rrmpa.2023.61.82
Dan Coman, G. Marinescu, Hua Wang
{"title":"SINGULAR HOLOMORPHIC MORSE INEQUALITIES ON NON-COMPACT MANIFOLDS","authors":"Dan Coman, G. Marinescu, Hua Wang","doi":"10.59277/rrmpa.2023.61.82","DOIUrl":"https://doi.org/10.59277/rrmpa.2023.61.82","url":null,"abstract":"We obtain asymptotic estimates of the dimension of cohomology on possibly non-compact complex manifolds for line bundles endowed with Hermitian metrics with algebraic singularities. We give a unified approach to establishing singular holomorphic Morse inequalities for hyperconcave manifolds, pseudoconvex domains, q-convex manifolds and q-concave manifolds, and we generalize related estimates of Berndtsson. We also consider the case of metrics with more general than algebraic singularities.","PeriodicalId":45738,"journal":{"name":"REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES","volume":"160 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76079959","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Four decades ago 四十年前
IF 0.3
REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES Pub Date : 2023-01-01 DOI: 10.59277/rrmpa.2023.7.8
L. Beznea
{"title":"Four decades ago","authors":"L. Beznea","doi":"10.59277/rrmpa.2023.7.8","DOIUrl":"https://doi.org/10.59277/rrmpa.2023.7.8","url":null,"abstract":"","PeriodicalId":45738,"journal":{"name":"REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES","volume":"26 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75433318","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
DUALITY FOR GORENSTEIN MULTIPLE STRUCTURES ON SMOOTH ALGEBRAIC VARIETIES 光滑代数变异上gorenstein多重结构的对偶性
IF 0.3
REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES Pub Date : 2023-01-01 DOI: 10.59277/rrmpa.2023.141.148
N. Manolache
{"title":"DUALITY FOR GORENSTEIN MULTIPLE STRUCTURES ON SMOOTH ALGEBRAIC VARIETIES","authors":"N. Manolache","doi":"10.59277/rrmpa.2023.141.148","DOIUrl":"https://doi.org/10.59277/rrmpa.2023.141.148","url":null,"abstract":"One gives a characterization of the Gorenstein nilpotent scheme structures on a smooth algebraic variety as support, in terms of a duality property of the graded objects associated to two canonical filtrations.","PeriodicalId":45738,"journal":{"name":"REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES","volume":"462 2-3 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78403840","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
DIMENSIONS OF MEASURES, DEGREES, AND FOLDING ENTROPY IN DYNAMICS 动力学中度量、度和折叠熵的维度
IF 0.3
REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES Pub Date : 2023-01-01 DOI: 10.59277/rrmpa.2023.149.167
Eugen Mihailescu
{"title":"DIMENSIONS OF MEASURES, DEGREES, AND FOLDING ENTROPY IN DYNAMICS","authors":"Eugen Mihailescu","doi":"10.59277/rrmpa.2023.149.167","DOIUrl":"https://doi.org/10.59277/rrmpa.2023.149.167","url":null,"abstract":"In this survey, we present some methods in the dynamics and dimension theory for invariant measures of hyperbolic endomorphisms (smooth non-invertible maps), and for conformal iterated function systems with overlaps. For endomorphisms, we recall the notion of asymptotic degree of an equilibrium measure, which is shown to be related to the folding entropy; this degree is then applied to dimension estimates. For finite iterated function systems, we present the notion of overlap number of a measure, which is related to the folding entropy of a lift transformation, and also give some examples when it can be computed or estimated. We apply overlap numbers to prove the exact dimensionality of invariant measures, and to obtain a geometric formula for their dimension. Then, for countable conformal iterated function systems with overlaps, the projections of ergodic measures are shown to be exact dimensional, and we give a dimension formula. Relations with ergodic number theory, continued fractions, and random dynamical systems are also presented.","PeriodicalId":45738,"journal":{"name":"REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES","volume":"29 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90016441","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
LCK SPACES. A SHORT SURVEY LCK空间。一个简短的调查
IF 0.3
REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES Pub Date : 2023-01-01 DOI: 10.59277/rrmpa.2023.191.198
Ovidiu Preda
{"title":"LCK SPACES. A SHORT SURVEY","authors":"Ovidiu Preda","doi":"10.59277/rrmpa.2023.191.198","DOIUrl":"https://doi.org/10.59277/rrmpa.2023.191.198","url":null,"abstract":"In this short survey, we present the results obtained so far in the geometry of lcK singular spaces.","PeriodicalId":45738,"journal":{"name":"REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES","volume":"11 4 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78339884","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
ON HYPERCONVEXITY AND TOWARDS BUNDLE-VALUED KERNEL ASYMPTOTICS ON LOCALLY PSEUDOCONVEX DOMAINS 局部伪凸域上的超凸性及束值核渐近性
IF 0.3
REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES Pub Date : 2023-01-01 DOI: 10.59277/rrmpa.2023.169.189
T. Ohsawa
{"title":"ON HYPERCONVEXITY AND TOWARDS BUNDLE-VALUED KERNEL ASYMPTOTICS ON LOCALLY PSEUDOCONVEX DOMAINS","authors":"T. Ohsawa","doi":"10.59277/rrmpa.2023.169.189","DOIUrl":"https://doi.org/10.59277/rrmpa.2023.169.189","url":null,"abstract":"After recalling basic results on the L2 ¯∂-cohomology groups and known existence criteria for bounded plurisubharmonic exhaustion functions on locally pseudoconvex bounded domains, results on the Bergman kernel on hyperconvex domains will be reviewed. Then, on locally pseudoconvex domains with certain regularity constraints on the boundary, a result on the asymptotics of the Bergman kernel is proved without assuming the existence of plurisubharmonic exhaustion functions, as an application of the finite-dimensionality of L2 ¯∂-cohomology groups.","PeriodicalId":45738,"journal":{"name":"REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES","volume":"44 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76974661","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
ON THE EMBEDDING OF LEVI-FLAT HYPERSURFACES IN THE COMPLEX PROJECTIVE PLANE (AND AN APPENDIX WITH L´ASZL´O LEMPERT) 复射影平面上列维平面超曲面的嵌入(附l′aszl′o lempert)
IF 0.3
REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES Pub Date : 2023-01-01 DOI: 10.59277/rrmpa.2023.95.114
A. Iordan
{"title":"ON THE EMBEDDING OF LEVI-FLAT HYPERSURFACES IN THE COMPLEX PROJECTIVE PLANE (AND AN APPENDIX WITH L´ASZL´O LEMPERT)","authors":"A. Iordan","doi":"10.59277/rrmpa.2023.95.114","DOIUrl":"https://doi.org/10.59277/rrmpa.2023.95.114","url":null,"abstract":"Let L be a hypothetical smooth Levi flat hypersurface in CP2 and r the signed distance to L by means of the Fubini-Study metric g. Denote Lru = cru the second order elliptic equation for the infinitesimal Levi-flat deformations of L, where cr = dbJbr + br ∧ Jbr, br = ιXrdγr, Xr = gradgr/ ∥gradgr∥2 g, γr is the restriction of dcr to L and db is the differentiation along the leafs of the Levi foliation. Then −cr ≥ H as leaf-wise (1, 1)-forms, where H is the holomorphic bisectional curvature of CP2. We give also an example of a Levi-flat manifold L of dimension 3 verifying that there exists a (1, 0)-form α on L such that ∂α is a K¨ahler form on every leaf of the Levi foliation, but L is not embeddable in CP2.","PeriodicalId":45738,"journal":{"name":"REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES","volume":"44 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87890390","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
STABLE RANK 3 VECTOR BUNDLES ON P3 WITH c1 = 0, c2 = 3 P3上c1 = 0, c2 = 3的稳定秩3向量束
IF 0.3
REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES Pub Date : 2023-01-01 DOI: 10.59277/rrmpa.2023.33.66
I. Coandă
{"title":"STABLE RANK 3 VECTOR BUNDLES ON P3 WITH c1 = 0, c2 = 3","authors":"I. Coandă","doi":"10.59277/rrmpa.2023.33.66","DOIUrl":"https://doi.org/10.59277/rrmpa.2023.33.66","url":null,"abstract":"We clarify the undecided case c2 = 3 of a result of Ein, Hartshorne and Vogelaar [8] about the restriction of a stable rank 3 vector bundle with c1 = 0 on the projective 3-space to a general plane. It turns out that there are more exceptions to the stable restriction property than those conjectured by the three authors. One of them is a Schwarzenberger bundle (twisted by −1); it has c3 = 6. There are also some exceptions with c3 = 2 (plus, of course, their duals).","PeriodicalId":45738,"journal":{"name":"REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES","volume":"50 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74440016","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
ON SINGULAR MAPS WITH LOCAL FIBRATION 在局部颤动的奇异映射上
IF 0.3
REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES Pub Date : 2022-12-12 DOI: 10.59277/RRMPA.2023.9.17
Ying Chen, Mihai Tibùar
{"title":"ON SINGULAR MAPS WITH LOCAL FIBRATION","authors":"Ying Chen, Mihai Tibùar","doi":"10.59277/RRMPA.2023.9.17","DOIUrl":"https://doi.org/10.59277/RRMPA.2023.9.17","url":null,"abstract":"We discuss the most general condition under which a singular local tube fibration exists. We give an application to composition of map germs.","PeriodicalId":45738,"journal":{"name":"REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES","volume":"76 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85726838","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
EMBEDDING BORDERED RIEMANN SURFACES IN STRONGLY PSEUDOCONVEX DOMAINS 在强伪凸区域嵌入有边黎曼曲面
IF 0.3
REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES Pub Date : 2022-04-14 DOI: 10.59277/rrmpa.2023.83.94
F. Forstnerič
{"title":"EMBEDDING BORDERED RIEMANN SURFACES IN STRONGLY PSEUDOCONVEX DOMAINS","authors":"F. Forstnerič","doi":"10.59277/rrmpa.2023.83.94","DOIUrl":"https://doi.org/10.59277/rrmpa.2023.83.94","url":null,"abstract":"We show that every bordered Riemann surface, M, with smooth boundary bM admits a proper holomorphic map M → Ω into any bounded strongly pseudoconvex domain Ω in Cn, n > 1, extending to a smooth map f : M → Ω which can be chosen an immersion if n ≥ 3 and an embedding if n ≥ 4. Furthermore, f can be chosen to approximate a given holomorphic map M → Ω on compacts in M and interpolate it at finitely many given points in M.","PeriodicalId":45738,"journal":{"name":"REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES","volume":"10 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79510430","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信