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Equivariant Sheaves and Functors
Joseph Bernstein,Valery A. Lunts +1 more
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In this paper, the DG-modules and equivariant cohomology of toric varieties have been studied, and the derived category D G (X) and functors have been defined.Abstract:
Derived category D G (X) and functors.- DG-modules and equivariant cohomology.- Equivariant cohomology of toric varieties.read more
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Torsion Galois representations over CM fields and Hecke algebras in the derived category
James Newton,Jack A. Thorne +1 more
TL;DR: In this paper, the authors construct algebras of endomorphisms in the derived category of the cohomology of arithmetic manifolds, which are generated by Hecke operators.
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Restriction to finite-index subgroups as étale extensions in topology, KK-theory and geometry
TL;DR: Balmer et al. as discussed by the authors show how restriction to a subgroup of finite index yields a finite commutative separable extension, analogous to finite etale extensions in algebraic geometry.
Posted Content
Inducing stability conditions
TL;DR: In this article, stability conditions induced by functors between triangulated categories were studied and it was shown that the subset of invariant stability conditions embeds as a closed submanifold into the stability manifold of the derived category.
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Homological Epimorphisms of Differential Graded Algebras
TL;DR: In this paper, the authors give a characterisation of when a differential graded R-S-bimodule M induces a full embedding of derived categories, which generalises the theory of Geigle and Lenzing's homological epimorphisms of rings.
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Hodge genera of algebraic varieties, II
TL;DR: In this article, the behavior of Hodge-genera under algebraic maps is studied, and it is shown how to compute the invariant of the source of a morphism from its values on varieties arising from the singularities of the map.