On Ampleness of vector bundles
نویسندگان
چکیده
In this article, we give a necessary and sufficient condition for ampleness of semistable vector bundles with vanishing discriminant on smooth projective variety X. As an application, show some special certain ruled surfaces. We prove similar results parabolic ampleness.
منابع مشابه
Criteria for Very Ampleness of Rank Two Vector Bundles over Ruled Surfaces
Very ampleness criteria for rank 2 vector bundles over smooth, ruled surfaces over rational and elliptic curves are given. The criteria are then used to settle open existence questions for some special threefolds of low
متن کاملNotes on Vector Bundles
−→ V, (v1, v2) −→ v1+v2, are smooth. Note that we can add v1, v2∈V only if they lie in the same fiber over M , i.e. π(v1)=π(v2) ⇐⇒ (v1, v2) ∈ V ×M V. The space V ×M V is a smooth submanifold of V ×V , as follows immediately from the Implicit Function Theorem or can be seen directly. The local triviality condition means that for every point m∈M there exist a neighborhood U of m in M and a diffeo...
متن کاملVector bundles on Orbispaces
Orbispaces are spaces with extra structure. The main examples come from compact Lie group actionsX G and are denoted [X/G], their underlying space being X/G. By definition, every orbispace is locally of the form [X/G], but the group G might vary. To be more precise, an orbispace is a topological stack which is locally equivalent to [X/G] for G a Lie group and X a G-CW-complex [2] [4] [5]. Howev...
متن کاملOn Poincaré Bundles of Vector Bundles on Curves
Let M denote the moduli space of stable vector bundles of rank n and fixed determinant of degree coprime to n on a non-singular projective curve X of genus g ≥ 2. Denote by U a universal bundle on X × M . We show that, for x, y ∈ X, x 6= y, the restrictions U|{x} × M and U|{y} × M are stable and nonisomorphic when considered as bundles on X .
متن کاملNote: Vector Bundles on Curves
The information above on email or mailbox is obsolete. Thanks to Ulrich Görtz for providing me with a copy of the original postscript file. Lectures by Gerd Faltings held in Bonn 1995 Notes by Michael Stoll Comments, remarks, questions etc. inserted by me are set in slanted. Contributions by other people are set in sans serif and marked by their initials: ck] Christian Kaiser Since these notes ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2021
ISSN: ['1631-073X', '1778-3569']
DOI: https://doi.org/10.5802/crmath.222