Exact model categories, approximation theory, and cohomology of quasi-coherent sheaves

By J. Št’ovíček. 2013

88 citations recorded by the source corpus.

Our aim is to give a fairly complete account on the construction of compatible model structures on exact categories and symmetric monoidal exact categories, in some cases generalizing previously known results. We describe the close connection of this theory to approximation theory and cotorsion pairs. We also discuss the motivating applications with the emphasis on constructing monoidal model structures for the derived category of quasi-coherent sheaves of modules over a scheme.

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/112fccc228d5b85da344c720649f66654c804d85

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In Geometry and Topology

1. Manuel Saor'in
2. A. Zvonareva
3. Pedro Nicolás
4. J. Št’ovíček
5. Lidia Angeleri Hugel

In Mathematical Physics

1. Manuel Saor'in
2. A. Zvonareva
3. Pedro Nicolás
4. J. Št’ovíček
5. Lidia Angeleri Hugel

In Statistical and Nonlinear Physics

1. A. Zvonareva
2. Pedro Nicolás
3. Manuel Saor'in
4. J. Št’ovíček

Citations in the corpus

• Silting theory in triangulated categories with coproducts (2015, methodology): “For instance, if E is a Frobenius exact category of Grothendieck type as defined in [58], then it was proved in [56, Theorem 2.”