搜索结果: 1-15 共查到“理学 VECTOR BUNDLES”相关记录21条 . 查询时间(0.359 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:2-representations and 2-vector bundles
2 向量丛 群论
font style='font-size:12px;'>
2023/4/13
HOLOMORPHIC FRAMES FOR WEAKLY CONVERGING HOLOMORPHIC VECTOR BUNDLES
HOLOMORPHIC FRAMES HOLOMORPHIC VECTOR BUNDLES
font style='font-size:12px;'>
2015/12/17
Perhaps the most useful analytic tool in gauge theory is the Uhlenbeck compactness theoremfor sequences of unitary connections on hermitian vector bundles [U]. Given connections {Dj} ona bundle E over...
ON THE BRILL-NOETHER PROBLEM FOR VECTOR BUNDLES
BRILL-NOETHER PROBLEM VECTOR BUNDLES
font style='font-size:12px;'>
2015/12/17
On an arbitrary compact Riemann surface, necessary and sufficient conditions are found for the existence of semistable vector bundles with slope between zero and one and a prescribed number of linearl...
Effective vanishing theorems for ample and globally generated vector bundles
Effective vanishing theorems ample globally generated vector bundles
font style='font-size:12px;'>
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...
CURVATURES OF DIRECT IMAGE SHEAVES OF VECTOR BUNDLES AND APPLICATIONS
CURVATURES DIRECT IMAGE SHEAVES VECTOR BUNDLES APPLICATIONS
font style='font-size:12px;'>
2018/4/19
Let p : X ! S be a smooth K¨ahler fibration and E ! X a Hermitian holomorphic vector bundle. As motivated by the work of Berdtsson([Bern09]), by using basic Hodge theory, we derive several general cur...
A cohomological classification of vector bundles on smooth affine threefolds
cohomological classification vector bundles smooth affine threefolds Algebraic Geometry
font style='font-size:12px;'>
2012/4/23
We give a cohomological classification of vector bundles on smooth affine threefolds over algebraically closed fields having characteristic unequal to 2. As a consequence, if A is a smooth affine alge...
Vector bundles of rank four and A_3 = D_3
Vector bundles rank four Algebraic Geometry
font style='font-size:12px;'>
2011/9/5
Abstract: Over a scheme with 2 invertible, we show that a vector bundle of rank four has a sub or quotient line bundle if and only if the canonical symmetric bilinear form on its exterior square has a...
Echelon modification of vector bundles
Hilbert scheme cycle map Algebraic Geometry
font style='font-size:12px;'>
2011/8/26
Abstract: We study a filtered generalization of the operation of elementary modification of vector bundles. The generalization is motivated by applications to the degeneration theory of linear systems...
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)
font style='font-size:12px;'>
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
font style='font-size:12px;'>
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
font style='font-size:12px;'>
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...
A recollement of vector bundles
vector bundles math
font style='font-size:12px;'>
2010/11/24
For a weighted projective line, the stable category of its vector bundles modulo lines bundles has a natural triangulated structure. We prove that, for any positive integers $p, q, r$ and $r'$ with $r...
Semi-stable vector bundles on elliptic curves and the associative Yang-Baxter equation
elliptic curves the associative Yang-Baxter equation
font style='font-size:12px;'>
2010/11/23
In this paper we study unitary solutions of the associative Yang--Baxter equation (AYBE) with spectral parameters. We show that to each point $\tau$ from the upper half-plane and an invertible $n \tim...
Frobenius pull backs of vector bundles in higher dimensions
Frobenius vector
font style='font-size:12px;'>
2010/11/15
Here we prove that for a smooth projective variety $X$ of arbitrary dimension and for a vector bundle $E$ over $X$, the Harder-Narasimhan filtration of a Frobenius pull back of $E$ is a refinement of...
Convergence of vector bundles with metrics of Sasaki-type
Convergence vector bundles metrics of Sasaki-type
font style='font-size:12px;'>
2010/11/9
If a sequence of Riemannian manifolds, $X_i$, converges in the pointed Gromov-Hausdorff sense to a limit space, $X_\infty$, and if $E_i$ are vector bundles over $X_i$ endowed with metrics of Sasaki-t...