论Cayley Grassmannian的派生范畴

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2023-09-19 DOI:10.1016/j.matpur.2023.09.007

Lyalya Guseva

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引用次数: 0

摘要

我们在所谓的Cayley-Grassmannian上构造了一个由相干簇的导出范畴中的向量丛组成的完全例外集合，该簇是Grassmanian Gr（3,7）参数化被一般4-形式湮灭的3-子空间的子变种。充分性证明的主要步骤是构造两个自对偶向量丛，这两个自二重向量丛是从二次丛的两个运算中获得的，二次丛本身可能很有趣。

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On the derived category of the Cayley Grassmannian

We construct a full exceptional collection consisting of vector bundles in the derived category of coherent sheaves on the so-called Cayley Grassmannian, the subvariety of the Grassmannian $Gr (3, 7)$ parameterizing 3-subspaces that are annihilated by a general 4-form. The main step in the proof of fullness is a construction of two self-dual vector bundles which is obtained from two operations with quadric bundles that might be interesting in themselves.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464