The flat model structure on complexes of sheaves

J Gillespie - Transactions of the American Mathematical Society, 2006 - ams.org
… Then there exists a model structure on Ch(D), where the weak equivalences are H∗-…
guarantee that the model structure is monoidal. So to find the flat model structure we will need to …

Model category structures on chain complexes of sheaves

M Hovey - Transactions of the American Mathematical Society, 2001 - ams.org
… method for constructing a model structure. We apply it to the category of sheaves on a well-…
In this case, we construct a flat model structure on Ch(A) that is compatible with the tensor …

The flat model structure on 𝐂𝐡 (𝐑)

J Gillespie - Transactions of the American Mathematical Society, 2004 - ams.org
… of sheaves on a ringed space or quasi-coherent sheaves on a ringed space, we also have a
tensor product. Unfortunately the injective model structure … of complexes induced by the flat

Locally projective monoidal model structure for complexes of quasi-coherent sheaves on P1(k)

E Enochs, S Estrada… - Journal of the London …, 2008 - academic.oup.com
… quasi-coherent sheaves is strictly contained in the class of flat quasi-coherent sheaves,
and … enough projectives but with enough flat objects, the flat model structure would be the ‘…

[图书][B] Sheaves in topology

A Dimca - 2004 - books.google.com
sheaves. We start by introducing the formalism of t-structures and we define the pperverse
sheaves, where … Concerning the existence of flat resolutions for sheaf complexes we have the …

[图书][B] Topology of singular spaces and constructible sheaves

J Schürmann - 2012 - books.google.com
complexes of sheaves to topological problems of singular spaces, then one has to know the
basic results of sheaf … -local" characterization of the sheaf complexes on a smooth manifold …

Membranes and sheaves

N Nekrasov, A Okounkov - arXiv preprint arXiv:1404.2323, 2014 - arxiv.org
… Holomorphic bundles thus play the same role for Kähler manifolds as flat bundles play for …
Other stability conditions for complexes of sheaves on X lead to alternative DT moduli spaces. …

Quillen equivalences inducing Grothendieck duality for unbounded chain complexes of sheaves

S Estrada, J Gillespie - arXiv preprint arXiv:2104.10783, 2021 - arxiv.org
complexes of flats and Gorenstein flats. In section 6 we look at the dual notion of the Gorenstein
flat sheaves. … scheme, we show that the Gorenstein flat model structure on Qco(X), from […

An adelic resolution for homology sheaves

SO Gorchinskii - Izvestiya: Mathematics, 2008 - iopscience.iop.org
complexes for sheaves of K-groups on schemes. Such complexes are defined for any abelian
sheaf … This morphism extends to a morphism of Gersten complexes only if f is flat. The main …

The stable category of Gorenstein flat sheaves on a Noetherian scheme

L Christensen, S Estrada, P Thompson - Proceedings of the American …, 2021 - ams.org
… of the homotopy category of F-totally acyclic complexes of flat quasi-coherent sheaves on X
by its subcategory of pure-acyclic complexes. Indeed, for a commutative noetherian ring A of …