WitrynaThe aim of this work is to give a generalization of Gabriel’s theorem for twisted sheaves over smooth varieties. We start by showing that we can reconstruct a variety X from the category Coh(X,α) of coherent α−twisted sheaves over X. This follows from the bijective correspondence between closed subsets of X and Serre subcategories of finite type … http://martapr.webs.uvigo.es/Investigacion/deformation-v3.2.pdf

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WitrynaLet be a projective variety (possibly singular) over an algebraically closed field of any characteristic and be a coherent sheaf. In this article, we define the determinant of such that it agrees with the classical … WitrynaLetXbe a closed subscheme of Pn,definedby asheafofidealsI,andletXt⊂Pnbe the thickening of Xdefined by It.Thenor-mal sheaf of Xis the sheaf N=(I/I2)∨,where(−)∨ denotes HomO X (−,OX); this is a vector bundle when the subscheme Xis lci. Following [Ha1], a vector bundle E on X is ample if Oπ(1)is ample on the projective space … jay sean sky is falling down lyrics

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http://virtualmath1.stanford.edu/~conrad/249BW16Page/handouts/alggroups.tex Witryna6 cze 2024 · For schemes of finite type over an algebraically closed field $ k $, regularity is equivalent to the sheaf of differentials $ \Omega _ {X/k} ^ {1} $ being locally free. Regular local rings are factorial (cf. Factorial ring ), and so any closed reduced irreducible subscheme of codimension 1 in a regular scheme $ ( X , {\mathcal O} _ … WitrynaWe show that the Hilbert functor of points on an arbitrary separated algebraic space is representable. We also show that the Hilbert stack of points on an arbitrary algebraic space or an arbitrary algebraic stack is algebraic. low tide oregon coast schedule