%0 Thesis %D 2013 %T Semistability and Decorated Bundles %A Andrea Pustetto %K Decorated sheaves, semistability, moduli space, Mehta-Ramanathan, maximal destabilizing subsheaf %X 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. %I SISSA %G en %U http://hdl.handle.net/1963/7130 %1 7132 %2 Mathematics %4 1 %# MAT/03 GEOMETRIA %$ Submitted by Andrea Pustetto (apustett@sissa.it) on 2013-09-25T09:47:01Z No. of bitstreams: 1 Semistability and Decorated Bundles.pdf: 829003 bytes, checksum: 22aa7f058a1945c70a0e0d29b46829e3 (MD5)