Hermitian structures on the derived category of coherent sheaves
نویسندگان
چکیده
منابع مشابه
STAGGERED t-STRUCTURES ON DERIVED CATEGORIES OF EQUIVARIANT COHERENT SHEAVES
Let X be a scheme, and let G be an affine group scheme acting on X. Under reasonable hypotheses on X and G, we construct a t-structure on the derived category of G-equivariant coherent sheaves that in many ways resembles the perverse coherent t-structure, but which incorporates additional information from the G-action. Under certain circumstances, the heart of this t-structure, called the “stag...
متن کاملOn the Derived Category of Sheaves on a Manifold
Let M be a non–compact, connected manifold of dimension ≥ 1. Let D(sheaves/M) be the unbounded derived category of chain complexes of sheaves of abelian groups on M . We prove that D(sheaves/M) is not a compactly generated triangulated category, but is well generated. 2000 Mathematics Subject Classification: 18E30 55P99 55U35
متن کاملThe Derived Category of Quasi-coherent Sheaves and Axiomatic Stable Homotopy
We prove in this paper that for a quasi-compact and semiseparated (non necessarily noetherian) scheme X, the derived category of quasi-coherent sheaves over X, D(Aqc(X)), is a stable homotopy category in the sense of Hovey, Palmieri and Strickland, answering a question posed by Strickland. Moreover we show that it is unital and algebraic. We also prove that for a noetherian semi-separated forma...
متن کاملModel Category Structures on Chain Complexes of Sheaves
In this paper, we try to determine when the derived category of an abelian category is the homotopy category of a model structure on the category of chain complexes. We prove that this is always the case when the abelian category is a Grothendieck category, as has also been done by Morel. But this model structure is not very useful for defining derived tensor products. We therefore consider ano...
متن کاملCONSTANT FAMILIES OF t-STRUCTURES ON DERIVED CATEGORIES OF COHERENT SHEAVES
We generalize the construction given in [1] of a “constant” t-structure on the bounded derived category of coherent sheaves D(X×S) starting with a t-structure on D(X). Namely, we remove smoothness and quasiprojectivity assumptions on X and S and work with t-structures that are not necessarily Noetherian but are close to Noetherian in the appropriate sense. The main new tool is the construction ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2012
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2011.09.007