A phantom on a rational surface

IF 2.6 1区数学 Q1 MATHEMATICS

Inventiones mathematicae Pub Date : 2023-12-21 DOI:10.1007/s00222-023-01234-0

Johannes Krah

引用次数: 0

Abstract

We construct a non-full exceptional collection of maximal length consisting of line bundles on the blow-up of the projective plane in 10 general points. As a consequence, the orthogonal complement of this collection is a universal phantom category. This provides a counterexample to a conjecture of Kuznetsov and to a conjecture of Orlov.

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理性表面上的幻影

我们构建了一个最大长度的非全例外集合，它由 10 个一般点的投影面吹胀上的线束组成。因此，这个集合的正交补集是一个普遍幻象范畴。这为库兹涅佐夫猜想和奥洛夫猜想提供了一个反例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Inventiones mathematicae 数学-数学

CiteScore

5.60

自引率

3.20%

发文量

审稿时长

12 months

期刊介绍： This journal is published at frequent intervals to bring out new contributions to mathematics. It is a policy of the journal to publish papers within four months of acceptance. Once a paper is accepted it goes immediately into production and no changes can be made by the author(s).