Let Nc be the moduli space of stable holomorphic vector bundles of rank 2 and fixed determinant of odd degree, over a smooth projective curve C. This paper identifies the algebraic cohomology ring HA(Nc), i.e.
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 characteristic. For any integer with $1\\le k\\le r-1$ we define $${\\se}_k(E):=k\\deg E-r\\max\\deg F.$$...
the case of threefolds. The first non-trivial bundles appear in rank two and we will particularly study this case. When the Picard number ϱ(F) is 1, a complete classification of indecomposable aCM bundles of rank 2 on F has been given by E. Arrondo and L. Costa (see [2]) using...
We describe new components of the Gieseker–Maruyama moduli scheme of semistable rank 2 sheaves E on with , and whose generic point corresponds to nonlocally free sheaves. We show that such components grow in number as n grows, and discuss how they intersect the instanton component. As an ...
We study moduli spaces of vector bundles on a two-dimensional neighbourhood $Z_k$ of an irreducible curve $\\ell = CP^1$ with $\\ell^2 = -k$ and give an explicit construction of these moduli as stratified spaces. We give sharp bounds for the local holomorphic Euler characteristic of ...
M. Grimes: Universal moduli spaces of vector bundles and the log-minimal model program on the moduli of curves. http://arxiv.org/abs/1409.5734 .M. Grimes. Universal moduli spaces of vector bundles and the log-minimal model program on the moduli of curves. Available at http://arxiv.org/...
LOCI OF RATIONAL CURVES OF SMALL DEGREE ON THE MODULI SPACE OF VECTOR BUNDLES 来自 Semantic Scholar 喜欢 0 阅读量: 20 作者: I Choe 摘要: For a smooth algebraic curve C of genus g 4, let (r, d) be the moduli space of semistable bundles of rank r 2 over C with fixed ...
It has also been shown for the moduli space of stable pairs over a smooth, projective curve in [21]. However, nothing is known in the case the underlying curve is irreducible, nodal. The goal of this article is to prove the Hodge conjecture for the moduli space of stable rank 2 ...
2 9 7 7 v 1 [ m a t h . A G ] 1 8 A p r 2 0 0 8 ON SOME MODULI SPACES OF STABLE VECTOR BUNDLES ON CUBIC AND QUARTIC THREEFOLDS INDRANIL BISWAS, JISHNU BISWAS, AND G. V. RAVINDRA Abstract. We study certain moduli spaces of stable vector bundles of rank two on cubic and...
Some examples of vector bundles in the base locus of the generalized theta divisor We show that, on the moduli space of semi-stable vector bundles of fixed rank and determinant (of any degree) on a curve, the base locus of the theta divis... S Casalaina-Martin,T Gwena,MTI Bigas - ...