摘要翻译:
设X是一个格式,G是作用于X的仿射群格式。在X和G上的合理假设下,我们在导出的G-等变相干束范畴上构造了一个T-结构,它在许多方面类似于反常相干T-结构,但它包含了来自G-作用的附加信息。在某些情况下,这种T型结构,被称为“交错T型结构”,具有一颗艺术的心,其简单的物体特别容易描述。我们还展示了两个小例子,其中交错T结构比反常相干T结构表现得更好。
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英文标题:
《Staggered t-structures on derived categories of equivariant coherent
sheaves》
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作者:
Pramod N. Achar
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最新提交年份:
2009
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分类信息:
一级分类:Mathematics 数学
二级分类:Representation Theory 表象理论
分类描述:Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra
代数和群的线性表示,李理论,结合代数,多重线性代数
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一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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英文摘要:
Let X be a scheme, and let G be an affine group scheme acting on X. Under reasonable hypotheses on X and G, we construct a t-structure on the derived category of G-equivariant coherent sheaves that in many ways resembles the perverse coherent t-structure, but which incorporates additional information from the G-action. Under certain circumstances, this t-structure, called the "staggered t-structure," has an artinian heart, and its simple objects are particularly easy to describe. We also exhibit two small examples in which the staggered t-structure is better-behaved than the perverse coherent t-structure.
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PDF链接:
https://arxiv.org/pdf/0709.1300