We study the problem of rationality of an infinite series of components, the so-called Ein components, of the Gieseker-Maruyama moduli space M(e,n) of rank 2 stable vector bundles with the first Chern class e=0 or -1 and all possible values of the second Chern class n on the ...
Timofeeva N. V. Isomorphism of compactifications of moduli of vector bundles: nonreduced moduli arXiv:1411.7872v1 [math.AG]. Russian original in: Modelirovanie i Analiz Informatsionnykh Sistem (Modeling and Analysis of Information Systems). 2015. V. 22. No. 5, P. 629 - 647,...
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,...
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...
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 quartic threefolds. In many cases under consideration, it turns out tha...
摘要: The action of Sl(r, k[[z]]) on the Sato Grassmannian is studied. Following ideas similar to those of GlT and to those used in the study of vector bundles, the (semi)stable points a... 查看全部>>关键词: Sato Grassmannian stability Harder-Narasimhan filtration Jordan-Holder ...
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 ...
A good motivation for the study of moduli spaces of vector bundles in P 3 comes from the classical problem concerning the geometry of nodal surfaces F in P 3 , and more specifically from the study of even sets ∆ of nodes on them (Beauville has shown in [Bea] that a surface of...
27 November 2022 © The Author(s) 2022 Abstract We show that the K-moduli spaces of log Fano pairs (P3, cS) where S is a quartic surface interpolate between the GIT moduli space of quartic surfaces and the Baily–Borel compactification of moduli of quartic K3 surfaces as c varies in ...
Article Infinitesimal deformations of a Calabi-Yau hypersurface of the moduli space of stable vector bundles over a curve was published on March 4, 2002 in the journal Journal für die reine und angewandte Mathematik (volume 2002, issue 544).