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Effective vanishing theorems for ample and globally generated vector bundles
Effective vanishing theorems ample globally generated vector bundles
2018/4/19
By proving an integral formula of the curvature tensor of E⊗detE, we observe that the curvature of E⊗detE is very similar to that of a line bundle and obtain certain new Kodaira-Akizuki-Na...
Modification of the Simpson moduli space M_{3m+1}(P_2) by vector bundles (I)
Modification Simpson moduli space M_{3m+1}(P_2) vector bundles (I)
2011/2/28
We consider the moduli space of stable vector bundles on curves embedded in P2 with Hilbert polynomial 3m+ 1 and construct a compactification of this space by vector bundles. The result fM is a blow u...
Vector bundles of rank 2 computing Clifford indices
Semistable vector bundle Clifford indices gonality
2011/1/17
Clifford indices of vector bundles on algebraic curves were introduced in a previous paper of the authors. In this paper we study bundles of rank 2 which compute these Clifford indices.
This is of pa...
Orientability of vector bundles over real flag manifolds
Vector bundles Orientability Flag manifold
2011/1/17
The purpose of this paper is to give necessary and sufficient conditions for the orientability of vector bundles over flag manifolds of real semi-simple Lie groups. We focus on two kinds of vector bun...
Vector Bundles over Normal Varieties Trivialized by Finite Morphisms
Essentially finite vector bundles finite mor-phisms principal bundles
2010/12/13
Let Y be a normal and projective variety over an algebraically closed field k and V a vector bundle over Y . We prove that if there exist a k-scheme X and a finite surjective morphism g : X → Y that t...
Cox rings and pseudoeffective cones of projectivized toric vector bundles
Cox rings projectivized toric vector bundles
2010/12/13
We study projectivizations of a special class of toric vector bundles that includes cotangent bundles, whose associated Klyachko filtrations are particularly simple.
In [BL94] Beauville and Laszlo give an interpretation of the affine Grassmannian for Gln over a field k as a moduli space of, loosely speak-ing, vector bundles over a projective curve together with a ...
Positivity and vanishing theorems of ample vector bundles
Positivity vanishing theorems ample vector bundles
2018/4/19
In this paper, we study the Nakano-positivity and dual-Nakano-positivity of certain adjoint vector bundles associated to ample vector bundles. As applications, we get new vanishing theorems about ampl...