Let M X (r , ξ) be the moduli space of stable vector bundles E on X of rank r such that r E = ξ and H 0 (X , E L) = 0 . Consider the quotient of M X (r , ξ) by the involution given by E E . We construct an algebraic morphism from this quotient to the moduli ...
Moduli spaceSemistability14D2014F05Let X be an irreducible smooth complex projective curve. Faltings gave a cohomological criterion for vector bundles on X to be semistable. Using this criterion he gave a construction of the moduli spaces of vector bundles on X (Faltings in J Alg Geom 2:507...
Recent work on the log minimal model program for the moduli space of curves, as well as past results of Caporaso, Pandharipande, and Simpson motivate an investigation of compactifications of the universal moduli space of slope semi-stable vector bundles over moduli spaces of curves arising in ...
A stratification of the moduli space of vector bundles on curves Let $E$ be a vector bundle of rank $r\\geq 2$ on a smooth projective curve $C$ of genus $g \\geq 2$ over an algebraically closed field $K$ of arbitrary cha... L Brambila-Paz,H Lange - 《Journal Für Die Reine ...
The ${s}_k$ gives a stratification of the moduli space ${\\cal M}(r,d)$ of stable vector bundles of rank $r$ and degree on $d$ on $C$ into locally closed subsets ${\\calM}(r,d,k,s)$ according to the value of $s$ and $k$. There is a component ${\\cal M}^0(r,...
Vector bundles near negative curves: moduli and local Euler characteristic - Ballico, Gasparim, et al.Ballico, E.; Gasparim, E.; K¨oppe, T. Vector bundles near negative curves: moduli and local Euler characteristic. To appear in Comm. Alg....
Surprisingly, both of these admit natural Hitchin fibrations. One can use these to describe the moduli space of pro-étale vector bundles as a twist of the moduli space of Higgs bundles. I will explain how this geometrizes the p-adic Simpson correspondence and discuss relations to the ...
Details the latest developments concerning moduli spaces of vector bundles or instantons and their application. Covers a broad array of topics in both differential and algebraic geometry. 我来说两句 短评 ··· 热门 / 最新 / 好友 还没人写过短评呢 我要写书评 Moduli of Vector Bundles的书评 ·...
We study the rational homotopy of the moduli space ${\mathcal N}_X$ of stable vector bundles of rank two and fixed determinant of odd degree over a compact connected Riemann surface $X$ of genus $g\geq 2$. The symplectic group $Aut(H_1(X,{\mathbb Z}))=Sp(2g,{\mathbb Z})$ ...
The moduli space of stable vector bundles on a Riemann surface is smooth when the rank and degree are coprime, and is diffeomorphic to the space of unitary... M Thaddeus - 《Proceedings of the London Mathematical Society》 被引量: 21发表: 2000年 Jacobi cohomology, local geometry of moduli ...