DK conjecture for some K-inequivalences from Grassmannians

IF 0.7 2区 数学 Q2 MATHEMATICS Journal of Pure and Applied Algebra Pub Date : 2024-10-24 DOI:10.1016/j.jpaa.2024.107831
Naichung Conan Leung , Ying Xie
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Abstract

The DK conjecture of Bondal-Orlov [1] and Kawamata [2] states that there should be an embedding of bounded derived categories for any K-inequivalence, which is proved to be true for the toroidal case ([3], [4], [5] and [6]). In this paper, we construct examples of non-toroidal K-inequivalences from Grassmannians inspired by [7], [8], [9] and [10], and we show that these K-inequivalences satisfy the DK conjecture.
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一些格拉斯曼 K-inequivalences 的 DK 猜想
邦达尔-奥洛夫[1]和川俣[2]的 DK 猜想指出,任何 K-inequivalence 都应该有一个有界派生范畴的嵌入,这在环面情况下被证明是正确的([3]、[4]、[5] 和 [6])。本文受[7]、[8]、[9]和[10]的启发,从格拉斯曼中构造了非环状 K-inequivalences 的例子,并证明这些 K-inequivalences 满足 DK 猜想。
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来源期刊
CiteScore
1.70
自引率
12.50%
发文量
225
审稿时长
17 days
期刊介绍: The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.
期刊最新文献
Editorial Board Editorial Board A negative answer to a Bahturin-Regev conjecture about regular algebras in positive characteristic Matroids and the space of torus-invariant subvarieties of the Grassmannian with given homology class The category of π-finite spaces
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