Perverse Schobers

Perverse Schobers
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反常的斯科伯斯

DOI:
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发表时间:
2014
期刊:
影响因子:
--
通讯作者:
V. Schechtman
V. Schechtman
中科院分区:
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文献类型:
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作者:
M. Kapranov;V. Schechtman

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在[BBD]中引入的倒叶的概念已经在代数几何和表示理论中发挥了核心作用。具体地说,适当的倒叶范畴提供了各种表示空间的“分类”,这些空间被恢复为范畴的Grothedieck群。这篇论文的目的是提出一种可能的分类的概念,一个倒立叶。换句话说,我们提出了一种不是针对向量空间而是针对三角范畴的反层理论。
The notion of a perverse sheaf, introduced in [BBD], has come to play a central role in algebraic geometry and representation theory. In particular, appropriate categories of perverse sheaves provide “categorifications” of various representation spaces, these spaces being recovered as the Grothedieck groups of the categories. The goal of this paper is to suggest the possibility of categorifying the very concept of a perverse sheaf. In other words, we propose to develop a theory of perverse sheaves not of vector spaces but of triangulated categories.
DOI: 10.1007/s00208-010-0627-y
发表时间: 2009-10
影响因子: 1.4
作者:
Christopher Brav;H. Thomas
通讯作者: Christopher Brav;H. Thomas
DOI: 10.48550/arxiv.1011.0707
发表时间: 2010
期刊: arXiv e-prints
影响因子: --
作者:
Anno Rina
通讯作者: Anno Rina
DOI: 10.4171/jems/791
发表时间: 2018
期刊: arXiv: Algebraic Geometry
影响因子: --
作者:
T. Dyckerhoff;M. Kapranov
通讯作者: M. Kapranov