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Castelnuovo Polytopes 卡斯特诺沃多面体
3区 数学
Michigan Mathematical Journal Pub Date : 2023-11-01 DOI: 10.1307/mmj/20216027
Akiyoshi Tsuchiya
{"title":"Castelnuovo Polytopes","authors":"Akiyoshi Tsuchiya","doi":"10.1307/mmj/20216027","DOIUrl":"https://doi.org/10.1307/mmj/20216027","url":null,"abstract":"It is known that the sectional genus of a polarized variety has an upper bound, which is an extension of the Castelnuovo bound on the genus of a projective curve. Polarized varieties whose sectional genus achieve this bound are called Castelnuovo. On the other hand, a lattice polytope is called Castelnuovo if the associated polarized toric variety is Castelnuovo. Kawaguchi characterized Castelnuovo polytopes having interior lattice points in terms of their h∗-vectors. In this paper, as a generalization of this result, we present a characterization of all Castelnuovo polytopes. Finally, as an application of our characterization, we give a sufficient criterion for a lattice polytope to be IDP.","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"108 3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136103083","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
Index 索引
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2023-11-01 DOI: 10.1307/mmj/20231119
{"title":"Index","authors":"","doi":"10.1307/mmj/20231119","DOIUrl":"https://doi.org/10.1307/mmj/20231119","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"60 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139296945","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 the Galois and Flat Cohomology of Unipotent Algebraic Groups over Local and Global Function Fields. II 局部和全局函数域上单幂代数群的伽罗瓦和平上同调。2
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2023-01-01 DOI: 10.1307/mmj/20216162
Zev Rosengarten, N. Tan, N. Q. Thang
{"title":"On the Galois and Flat Cohomology of Unipotent Algebraic Groups over Local and Global Function Fields. II","authors":"Zev Rosengarten, N. Tan, N. Q. Thang","doi":"10.1307/mmj/20216162","DOIUrl":"https://doi.org/10.1307/mmj/20216162","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"41 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85155637","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
Bubbly Continua with the Shape of Spheres 球体形状的连续气泡酒
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2023-01-01 DOI: 10.1307/mmj/20216093
G. Kozlowski
{"title":"Bubbly Continua with the Shape of Spheres","authors":"G. Kozlowski","doi":"10.1307/mmj/20216093","DOIUrl":"https://doi.org/10.1307/mmj/20216093","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"31 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82019904","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
Annihilators of the Ideal Class Group of an Imaginary Abelian Number Field 虚阿贝尔数域的理想类群的湮灭子
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2023-01-01 DOI: 10.1307/mmj/20226190
Pavel Francírek, R. Kučera
{"title":"Annihilators of the Ideal Class Group of an Imaginary Abelian Number Field","authors":"Pavel Francírek, R. Kučera","doi":"10.1307/mmj/20226190","DOIUrl":"https://doi.org/10.1307/mmj/20226190","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"2001 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78550780","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 Maz’ya’s Φ-Inequalities for Martingale Fractional Integration and Their Bellman Functions 关于鞅分数积分及其Bellman函数的Maz 'ya Φ-Inequalities
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2023-01-01 DOI: 10.1307/mmj/20216116
D. Stolyarov
{"title":"On Maz’ya’s Φ-Inequalities for Martingale Fractional Integration and Their Bellman Functions","authors":"D. Stolyarov","doi":"10.1307/mmj/20216116","DOIUrl":"https://doi.org/10.1307/mmj/20216116","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"6 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84129502","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
Homological Properties of Ideals Generated by Fold Products of Linear Forms 线性形式的折叠积生成理想的同调性质
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2023-01-01 DOI: 10.1307/mmj/20216173
Ricardo Burity, Stefan O. Tohaneanu, Yupei Xie
{"title":"Homological Properties of Ideals Generated by Fold Products of Linear Forms","authors":"Ricardo Burity, Stefan O. Tohaneanu, Yupei Xie","doi":"10.1307/mmj/20216173","DOIUrl":"https://doi.org/10.1307/mmj/20216173","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"104 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80490186","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
The Universal Elliptic KZB Connection in Higher Level 高级通用椭圆型KZB连接
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2023-01-01 DOI: 10.1307/mmj/20226185
Eric Hopper
{"title":"The Universal Elliptic KZB Connection in Higher Level","authors":"Eric Hopper","doi":"10.1307/mmj/20226185","DOIUrl":"https://doi.org/10.1307/mmj/20226185","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76724636","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 the Termination of the MMP for Semistable Fourfolds in Mixed Characteristic 半稳定四重混合特性的MMP终止
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2023-01-01 DOI: 10.1307/mmj/20216172
Lingyao Xie, Q. Xue
{"title":"On the Termination of the MMP for Semistable Fourfolds in Mixed Characteristic","authors":"Lingyao Xie, Q. Xue","doi":"10.1307/mmj/20216172","DOIUrl":"https://doi.org/10.1307/mmj/20216172","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"11 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89797490","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
Automatic Continuity for Homeomorphism Groups and Big Mapping Class Groups 同胚群与大映射类群的自动连续性
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2023-01-01 DOI: 10.1307/mmj/20216095
Kathryn Mann
{"title":"Automatic Continuity for Homeomorphism Groups and Big Mapping Class Groups","authors":"Kathryn Mann","doi":"10.1307/mmj/20216095","DOIUrl":"https://doi.org/10.1307/mmj/20216095","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"97 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85919730","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: 3
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