On boundedness of semistable sheaves
Copyright policy )On boundedness of semistable sheaves
We give a new simple proof of boundedness of the family of semistable sheaves with fixed numerical invariants on a fixed smooth projective variety. In characteristic zero our method gives a quick proof of Bogomolov's inequality for semistable sheaves on a smooth projective variety of any dimension \ge 2 without using any restriction theorems.
- Polish Academy of Sciences Poland
- Institute of Mathematics Poland
- University of Warsaw Poland
- University of Warsaw Library Poland
Mathematics - Algebraic Geometry, Algebraic moduli problems, moduli of vector bundles, semistable sheaves, Bogomolov's inequality, FOS: Mathematics, bounded families, Sheaves in algebraic geometry, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Algebraic Geometry (math.AG)
Mathematics - Algebraic Geometry, Algebraic moduli problems, moduli of vector bundles, semistable sheaves, Bogomolov's inequality, FOS: Mathematics, bounded families, Sheaves in algebraic geometry, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Algebraic Geometry (math.AG)
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