16 citations · 68 across the 25 of their papers we have counts for
7 papers · 1 filter
Deformation theory for a morphism in the derived category with fixed lift of the codomain
Pieter Belmans, Wendy Lowen, Shinnosuke Okawa +1
We develop the deformation-obstruction calculus for morphisms of complexes with a fixed lift of the codomain, to derived categories of flat nilpotent deformations of abelian catego…
Hochschild cohomology and extensions of triangulated categories
Alessandro Lehmann, Wendy Lowen
We define a notion of categorical first order deformations for (enhanced) triangulated categories. For a category , we show that there is a bijection between $\operato…
Hochschild cohomology of projective hypersurfaces
Liyu Liu, Wendy Lowen
We compute Hochschild cohomology of projective hypersurfaces starting from the Gerstenhaber-Schack complex of the (restricted) structure sheaf. We are particularly interested in th…
Non-commutative deformations and quasi-coherent modules
Hoang Dinh Van, Liyu Liu, Wendy Lowen
We identify a class of "quasi-compact semi-separated" (qcss) twisted presheaves of algebras A for which well-behaved Grothendieck abelian categories of quasi-coherent modules Qch(A…
Abelian and derived deformations in the presence of Z-generating geometric helices
Olivier De Deken, Wendy Lowen
For a Grothendieck category C which, via a Z-generating sequence (O(n))_{n in Z}, is equivalent to the category of "quasi-coherent modules" over an associated Z-algebra A, we show…
A sheaf of Hochschild complexes on quasi-compact opens
Wendy Lowen
For a scheme X, we construct a sheaf C of complexes on X such that for every quasi-compact open subset U of X, C(U) is quasi-isomorphic to the Hochschild complex of the scheme U. S…