{"title":"The Rational Zero-Divisor Cup-Length of Oriented Partial Flag Manifolds","authors":"Vimala Ramani","doi":"10.1515/ms-2023-0097","DOIUrl":null,"url":null,"abstract":"ABSTRACT We compute the rational zero-divisor cup-length of the oriented partial flag manifold <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"> <m:mrow> <m:mover accent=\"true\"> <m:mi>F</m:mi> <m:mo stretchy=\"true\">˜</m:mo> </m:mover> <m:mrow> <m:mo>(</m:mo> <m:mrow> <m:msub> <m:mi>n</m:mi> <m:mn>1</m:mn> </m:msub> <m:mo>,</m:mo> <m:mo>…</m:mo> <m:mo>,</m:mo> <m:msub> <m:mi>n</m:mi> <m:mi>k</m:mi> </m:msub> </m:mrow> <m:mo>)</m:mo> </m:mrow> </m:mrow> </m:math> \\[\\widetilde{F}\\left( {{n}_{1}},\\ldots,{{n}_{k}} \\right)\\] of type ( n 1 ,…, n k ), k ≥ 2. For certain classes of oriented partial flag manifolds, we compare the rational zero-divisor cup-length and the <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"> <m:mrow> <m:msub> <m:mi>ℤ</m:mi> <m:mn>2</m:mn> </m:msub> </m:mrow> </m:math> \\[{{\\mathbb{Z}}_{2}}\\] -zero-divisor cup-length.","PeriodicalId":18282,"journal":{"name":"Mathematica Slovaca","volume":"20 1","pages":"0"},"PeriodicalIF":0.9000,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica Slovaca","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/ms-2023-0097","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
ABSTRACT We compute the rational zero-divisor cup-length of the oriented partial flag manifold F˜(n1,…,nk) \[\widetilde{F}\left( {{n}_{1}},\ldots,{{n}_{k}} \right)\] of type ( n 1 ,…, n k ), k ≥ 2. For certain classes of oriented partial flag manifolds, we compare the rational zero-divisor cup-length and the ℤ2 \[{{\mathbb{Z}}_{2}}\] -zero-divisor cup-length.
期刊介绍:
Mathematica Slovaca, the oldest and best mathematical journal in Slovakia, was founded in 1951 at the Mathematical Institute of the Slovak Academy of Science, Bratislava. It covers practically all mathematical areas. As a respectful international mathematical journal, it publishes only highly nontrivial original articles with complete proofs by assuring a high quality reviewing process. Its reputation was approved by many outstanding mathematicians who already contributed to Math. Slovaca. It makes bridges among mathematics, physics, soft computing, cryptography, biology, economy, measuring, etc. The Journal publishes original articles with complete proofs. Besides short notes the journal publishes also surveys as well as some issues are focusing on a theme of current interest.