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Semistability and Decorated Bundles

TitleSemistability and Decorated Bundles
Publication TypeThesis
Year of Publication2013
AuthorsPustetto, A
UniversitySISSA
KeywordsDecorated sheaves, semistability, moduli space, Mehta-Ramanathan, maximal destabilizing subsheaf
Abstract

This thesis is devoted to the study of semistability condition of type t=(a,b,c,N) decorated bundles and sheaves in order to better understand and simplify it. We approach the problem in two different ways: on one side we “enclose” the above semistability condition between a stronger semistability condition (\epsilon-semistability) and a weaker one (k-semistability), on the other side we try, and succeed for the case of a = 2, to bound the length of weighted filtrations on which one checks the semistability condition.

URLhttp://hdl.handle.net/1963/7130
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7132

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Mathematics

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1

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MAT/03 GEOMETRIA

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Submitted by Andrea Pustetto (apustett@sissa.it) on 2013-09-25T09:47:01Z
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