Title | Semistability and Decorated Bundles |

Publication Type | Thesis |

Year of Publication | 2013 |

Authors | Pustetto, A |

University | SISSA |

Keywords | Decorated 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. |

URL | http://hdl.handle.net/1963/7130 |

Custom 1 | 7132 |

Custom 2 | Mathematics |

Custom 4 | 1 |

Custom 5 | MAT/03 GEOMETRIA |

Custom 6 | Submitted by Andrea Pustetto (apustett@sissa.it) on 2013-09-25T09:47:01Z |