一些格拉斯曼 K-inequivalences 的 DK 猜想

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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引用次数: 0

摘要

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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DK conjecture for some K-inequivalences from Grassmannians

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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来源期刊

Journal of Pure and Applied Algebra 数学-数学

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.