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Recollements of Derived Categories from Two-Term Big Tilting Complexes
We introduce the notion of big tilting complexes over associative rings, which is a simultaneous generalization of good tilting modules and tilting...
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Symmetry of the Definition of Degeneration in Triangulated Categories
Module structures of an algebra on a fixed finite dimensional vector space form an algebraic variety. Isomorphism classes correspond to orbits of the...
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Graph products of spheres, associative graded algebras and Hilbert series
Given a finite, simple, vertex-weighted graph, we construct a graded associative (noncommutative) algebra, whose generators correspond to vertices...
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On the Hochschild and Harrison (co)homology of C ∞-algebras and applications to string topology
We study Hochschild (co)homology of commutative and associative up to homotopy algebras with coefficient in a homotopy analogue of symmetric...
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Infinitesimal invariant and Massey products
In this work, we study the Griffiths infinitesimal invariant of the curve in the jacobian using secondary cohomology maps. In order to do this, we...
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Rigid Dualizing Complexes Over Commutative Rings
In this paper we present a new approach to Grothendieck duality over commutative rings. Our approach is based on the idea of rigid dualizing...