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Nagoya Mathematical Journal最新文献

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POWER SERIES PROOFS FOR LOCAL STABILITIES OF KÄHLER AND BALANCED STRUCTURES WITH MILD $partial overline {partial }$ -LEMMA 具有MILD$partialoverline{partial}$-LEMA的KöHLER和平衡结构局部稳定性的幂级数证明
IF 0.8 2区 数学
Nagoya Mathematical Journal Pub Date : 2021-06-08 DOI: 10.1017/nmj.2021.4
S. Rao, Xueyuan Wan, Quanting Zhao
{"title":"POWER SERIES PROOFS FOR LOCAL STABILITIES OF KÄHLER AND BALANCED STRUCTURES WITH MILD \u0000$partial overline {partial }$\u0000 -LEMMA","authors":"S. Rao, Xueyuan Wan, Quanting Zhao","doi":"10.1017/nmj.2021.4","DOIUrl":"https://doi.org/10.1017/nmj.2021.4","url":null,"abstract":"Abstract By use of a natural map introduced recently by the first and third authors from the space of pure-type complex differential forms on a complex manifold to the corresponding one on the small differentiable deformation of this manifold, we will give a power series proof for Kodaira–Spencer’s local stability theorem of Kähler structures. We also obtain two new local stability theorems, one of balanced structures on an n-dimensional balanced manifold with the \u0000$(n-1,n)$\u0000 th mild \u0000$partial overline {partial }$\u0000 -lemma by power series method and the other one on p-Kähler structures with the deformation invariance of \u0000$(p,p)$\u0000 -Bott–Chern numbers.","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":"246 1","pages":"305 - 354"},"PeriodicalIF":0.8,"publicationDate":"2021-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/nmj.2021.4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48068824","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
NMJ volume 242 Cover and Back matter NMJ第242卷封面和封底
IF 0.8 2区 数学
Nagoya Mathematical Journal Pub Date : 2021-06-01 DOI: 10.1017/s0027763020000240
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引用次数: 0
NMJ volume 242 Cover and Front matter NMJ第242卷封面和封面问题
IF 0.8 2区 数学
Nagoya Mathematical Journal Pub Date : 2021-06-01 DOI: 10.1017/s0027763020000239
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引用次数: 0
ADJUNCTION AND INVERSION OF ADJUNCTION 附接和附接的反转
IF 0.8 2区 数学
Nagoya Mathematical Journal Pub Date : 2021-05-30 DOI: 10.1017/nmj.2022.24
O. Fujino, K. Hashizume
{"title":"ADJUNCTION AND INVERSION OF ADJUNCTION","authors":"O. Fujino, K. Hashizume","doi":"10.1017/nmj.2022.24","DOIUrl":"https://doi.org/10.1017/nmj.2022.24","url":null,"abstract":"Abstract We establish adjunction and inversion of adjunction for log canonical centers of arbitrary codimension in full generality.","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":"249 1","pages":"119 - 147"},"PeriodicalIF":0.8,"publicationDate":"2021-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43057417","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: 1
CONSTRUCTING MAXIMAL COFINITARY GROUPS 构造极大共群
IF 0.8 2区 数学
Nagoya Mathematical Journal Pub Date : 2021-05-24 DOI: 10.1017/nmj.2022.46
David Schrittesser
{"title":"CONSTRUCTING MAXIMAL COFINITARY GROUPS","authors":"David Schrittesser","doi":"10.1017/nmj.2022.46","DOIUrl":"https://doi.org/10.1017/nmj.2022.46","url":null,"abstract":"Abstract Improving and clarifying a construction of Horowitz and Shelah, we show how to construct (in \u0000$mathsf {ZF}$\u0000 , i.e., without using the Axiom of Choice) maximal cofinitary groups. Among the groups we construct, one is definable by a formula in second-order arithmetic with only a few natural number quantifiers.","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":"251 1","pages":"622 - 651"},"PeriodicalIF":0.8,"publicationDate":"2021-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44324189","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
COMPACT ORBITS OF PARABOLIC SUBGROUPS 抛物子群的紧轨道
IF 0.8 2区 数学
Nagoya Mathematical Journal Pub Date : 2021-05-12 DOI: 10.1017/nmj.2021.14
L. Biliotti, O. J. Windare
{"title":"COMPACT ORBITS OF PARABOLIC SUBGROUPS","authors":"L. Biliotti, O. J. Windare","doi":"10.1017/nmj.2021.14","DOIUrl":"https://doi.org/10.1017/nmj.2021.14","url":null,"abstract":"Abstract We study the action of a real reductive group G on a real submanifold X of a Kähler manifold Z. We suppose that the action of a compact connected Lie group U with Lie algebra \u0000$mathfrak {u}$\u0000 extends holomorphically to an action of the complexified group \u0000$U^{mathbb {C}}$\u0000 and that the U-action on Z is Hamiltonian. If \u0000$Gsubset U^{mathbb {C}}$\u0000 is compatible, there exists a gradient map \u0000$mu _{mathfrak p}:X longrightarrow mathfrak p$\u0000 where \u0000$mathfrak g=mathfrak k oplus mathfrak p$\u0000 is a Cartan decomposition of \u0000$mathfrak g$\u0000 . In this paper, we describe compact orbits of parabolic subgroups of G in terms of the gradient map \u0000$mu _{mathfrak p}$\u0000 .","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":"247 1","pages":"615 - 623"},"PeriodicalIF":0.8,"publicationDate":"2021-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43646940","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: 1
MINIMAL ( $tau $ -)TILTING INFINITE ALGEBRAS 极小（$tau$-）倾斜无限代数
IF 0.8 2区 数学
Nagoya Mathematical Journal Pub Date : 2021-03-23 DOI: 10.1017/nmj.2022.28
Kaveh Mousavand, Charles Paquette
{"title":"MINIMAL ( \u0000$tau $\u0000 -)TILTING INFINITE ALGEBRAS","authors":"Kaveh Mousavand, Charles Paquette","doi":"10.1017/nmj.2022.28","DOIUrl":"https://doi.org/10.1017/nmj.2022.28","url":null,"abstract":"Abstract Motivated by a new conjecture on the behavior of bricks, we start a systematic study of minimal \u0000$tau $\u0000 -tilting infinite (min- \u0000$tau $\u0000 -infinite, for short) algebras. In particular, we treat min- \u0000$tau $\u0000 -infinite algebras as a modern counterpart of minimal representation-infinite algebras and show some of the fundamental similarities and differences between these families. We then relate our studies to the classical tilting theory and observe that this modern approach can provide fresh impetus to the study of some old problems. We further show that in order to verify the conjecture, it is sufficient to treat those min- \u0000$tau $\u0000 -infinite algebras where almost all bricks are faithful. Finally, we also prove that minimal extending bricks have open orbits, and consequently obtain a simple proof of the brick analogue of the first Brauer–Thrall conjecture, recently shown by Schroll and Treffinger using some different techniques.","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":"249 1","pages":"221 - 238"},"PeriodicalIF":0.8,"publicationDate":"2021-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42226505","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: 0
K-THEORY OF NON-ARCHIMEDEAN RINGS II 非阿基米德环的k理论2
IF 0.8 2区 数学
Nagoya Mathematical Journal Pub Date : 2021-03-11 DOI: 10.1017/nmj.2023.4
M. Kerz, S. Saito, Georg Tamme
{"title":"K-THEORY OF NON-ARCHIMEDEAN RINGS II","authors":"M. Kerz, S. Saito, Georg Tamme","doi":"10.1017/nmj.2023.4","DOIUrl":"https://doi.org/10.1017/nmj.2023.4","url":null,"abstract":"Abstract We study fundamental properties of analytic K-theory of Tate rings such as homotopy invariance, Bass fundamental theorem, Milnor excision, and descent for admissible coverings.","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":"251 1","pages":"669 - 685"},"PeriodicalIF":0.8,"publicationDate":"2021-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41667476","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: 1
PRINCIPAL RADICAL SYSTEMS, LEFSCHETZ PROPERTIES, AND PERFECTION OF SPECHT IDEALS OF TWO-ROWED PARTITIONS 主根系，左舍茨性质，及两排分区理想的完善
IF 0.8 2区 数学
Nagoya Mathematical Journal Pub Date : 2021-03-01 DOI: 10.1017/nmj.2021.17
Chris McDaniel, J. Watanabe
{"title":"PRINCIPAL RADICAL SYSTEMS, LEFSCHETZ PROPERTIES, AND PERFECTION OF SPECHT IDEALS OF TWO-ROWED PARTITIONS","authors":"Chris McDaniel, J. Watanabe","doi":"10.1017/nmj.2021.17","DOIUrl":"https://doi.org/10.1017/nmj.2021.17","url":null,"abstract":"Abstract We show that the Specht ideal of a two-rowed partition is perfect over an arbitrary field, provided that the characteristic is either zero or bounded below by the size of the second row of the partition, and we show this lower bound is tight. We also establish perfection and other properties of certain variants of Specht ideals, and find a surprising connection to the weak Lefschetz property. Our results, in particular, give a self-contained proof of Cohen–Macaulayness of certain h-equals sets, a result previously obtained by Etingof–Gorsky–Losev over the complex numbers using rational Cherednik algebras.","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":"247 1","pages":"690 - 730"},"PeriodicalIF":0.8,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46927754","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
NMJ volume 241 Cover and Front matter NMJ第241卷封面和封面
IF 0.8 2区 数学
Nagoya Mathematical Journal Pub Date : 2021-03-01 DOI: 10.1017/s0027763020000215
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引用次数: 0
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