Picard Groups of the Moduli Spaces of Semistable Sheaves I
[摘要] We compute the Picard group of the moduli space ð‘ˆâ€² of semistable vector bundles of rank ð‘› and degree ð‘‘ on an irreducible nodal curve 𑌠and show that ð‘ˆâ€² is locally factorial. We determine the canonical line bundles of ð‘ˆâ€² and ð‘ˆâ€²L, the subvariety consisting of vector bundles with a fixed determinant. For rank 2, we compute the Picard group of other strata in the compactification of ð‘ˆâ€².
[发布日期] [发布机构]
[效力级别] [学科分类] 数学（综合）
[关键词] Picard groups;semistable sheaves;nodal curve. [时效性]
