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On the Rigidity of Some Extensions of Domains 关于某些域扩展的刚性
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2022-01-01 DOI: 10.1307/mmj/20205957
Dayan Liu, Xiaosong Sun
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引用次数: 0
Coarse Z-Boundaries for Groups 群的粗z边界
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2022-01-01 DOI: 10.1307/mmj/20206001
C. Guilbault, Molly A. Moran
{"title":"Coarse Z-Boundaries for Groups","authors":"C. Guilbault, Molly A. Moran","doi":"10.1307/mmj/20206001","DOIUrl":"https://doi.org/10.1307/mmj/20206001","url":null,"abstract":". We generalize Bestvina’s notion of a Z -boundary for a group to that of a “coarse Z -boundary.” We show that established theorems about Z -boundaries carry over nicely to the more general theory, and that some wished-for properties of Z -boundaries become theorems when applied to coarse Z -boundaries. Most notably, the property of admitting a coarse Z -boundary is a pure quasi-isometry invariant. In the process, we streamline both new and existing definitions by in-troducing the notion of a “model Z -geometry.” In accordance with the existing theory, we also develop an equivariant version of the above—that of a “coarse E Z -boundary.”","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72466181","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Canonical Modules and Class Groups of Rees-Like Algebras 类rees代数的规范模与类群
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2022-01-01 DOI: 10.1307/mmj/20205974
P. Mantero, J. McCullough, L. Miller
{"title":"Canonical Modules and Class Groups of Rees-Like Algebras","authors":"P. Mantero, J. McCullough, L. Miller","doi":"10.1307/mmj/20205974","DOIUrl":"https://doi.org/10.1307/mmj/20205974","url":null,"abstract":"Rees-like algebras have played a major role in settling the EisenbudGoto conjecture. This article concerns the structure of the canonical module of the Rees-like algebra and its class groups. Via an explicit computation based on linkage, we provide an explicit and surprisingly well-structured resolution of the canonical module in terms of a type of double-Koszul complex. Additionally, we give descriptions of both the divisor class group and the Picard group of a Rees-like algebra.","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82949288","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
On 1-Gorenstein Algebras of Finite Cohen–Macaulay Type 有限Cohen-Macaulay型的1-Gorenstein代数
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2022-01-01 DOI: 10.1307/mmj/20216023
R. Hafezi, J. Asadollahi, Zohreh Karimi
{"title":"On 1-Gorenstein Algebras of Finite Cohen–Macaulay Type","authors":"R. Hafezi, J. Asadollahi, Zohreh Karimi","doi":"10.1307/mmj/20216023","DOIUrl":"https://doi.org/10.1307/mmj/20216023","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74817341","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Pseudo-Néron Model and Restriction of Sections 伪nsamron模型及截面限制
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2022-01-01 DOI: 10.1307/mmj/20195764
Santai Qu
{"title":"Pseudo-Néron Model and Restriction of Sections","authors":"Santai Qu","doi":"10.1307/mmj/20195764","DOIUrl":"https://doi.org/10.1307/mmj/20195764","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90769718","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
A Note on the Concordance Z-Genus 关于一致性z属的注释
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2022-01-01 DOI: 10.1307/mmj/20216070
Allison N. Miller, Junghwan Park
{"title":"A Note on the Concordance Z-Genus","authors":"Allison N. Miller, Junghwan Park","doi":"10.1307/mmj/20216070","DOIUrl":"https://doi.org/10.1307/mmj/20216070","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88341389","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Vlasov–Poisson Equation in Hs,p(w) Space Hs,p(w)空间中的Vlasov-Poisson方程
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2022-01-01 DOI: 10.1307/mmj/20205973
Jingchun Chen, Cong He
{"title":"Vlasov–Poisson Equation in Hs,p(w) Space","authors":"Jingchun Chen, Cong He","doi":"10.1307/mmj/20205973","DOIUrl":"https://doi.org/10.1307/mmj/20205973","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80122648","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Product Theorem on Delta Invariants via Adding a General Boundary 通过添加一般边界的不变量积定理
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2022-01-01 DOI: 10.1307/mmj/20205993
Chuyu Zhou
{"title":"Product Theorem on Delta Invariants via Adding a General Boundary","authors":"Chuyu Zhou","doi":"10.1307/mmj/20205993","DOIUrl":"https://doi.org/10.1307/mmj/20205993","url":null,"abstract":". It’s well-known that adding a general boundary would create K-stability. As an application, we reprove product theorem for delta invariants of Fano varieties.","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79649187","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
The dlt Motivic Zeta Function Is Not Well Defined 动机Zeta函数没有很好地定义
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-12-01 DOI: 10.1307/mmj/20216148
J. Nicaise, Naud Potemans, W. Veys
{"title":"The dlt Motivic Zeta Function Is Not Well Defined","authors":"J. Nicaise, Naud Potemans, W. Veys","doi":"10.1307/mmj/20216148","DOIUrl":"https://doi.org/10.1307/mmj/20216148","url":null,"abstract":"In arXiv:1408.4708, Xu defines the dlt motivic zeta function associated to a regular function $f$ on a smooth variety $X$ over a field of characteristic zero. This is an adaptation of the classical motivic zeta function that was introduced by Denef and Loeser. The dlt motivic zeta function is defined on a dlt modification via a Denef-Loeser-type formula, replacing classes of strata in the Grothendieck ring of varieties by stringy motives. We provide explicit examples that show that the dlt motivic zeta function depends on the choice of dlt modification, contrary to what is claimed in arXiv:1408.4708, and that it is therefore not well-defined.","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72752589","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Uniqueness of Conformal Measures and Local Mixing for Anosov Groups Anosov群保形测度的唯一性与局部混合
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-11-24 DOI: 10.1307/mmj/20217222
Sam O. Edwards, Minju M. Lee, H. Oh
{"title":"Uniqueness of Conformal Measures and Local Mixing for Anosov Groups","authors":"Sam O. Edwards, Minju M. Lee, H. Oh","doi":"10.1307/mmj/20217222","DOIUrl":"https://doi.org/10.1307/mmj/20217222","url":null,"abstract":"Abstract. In the late seventies, Sullivan showed that for a convex cocompact subgroup Γ of SO(n, 1) with critical exponent δ > 0, any Γ-conformal measure on ∂H of dimension δ is necessarily supported on the limit set Λ and that the conformal measure of dimension δ exists uniquely. We prove an analogue of this theorem for any Zariski dense Anosov subgroup Γ of a connected semisimple real algebraic group G of rank at most 3. We also obtain the local mixing for generalized BMS measures on ΓG including Haar measures.","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2021-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73273864","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 12
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