학술논문

On the Quot scheme $\mathrm{Quot}^{l}_{S}(\mathcal{E})$
Document Type
Working Paper
Author
Source
Subject
Mathematics - Algebraic Geometry
14F06, 14C17, 14B05
Language
Abstract
We study the geometry of the Quot scheme $\mathrm{Quot}^l_{S}(\mathcal{E})$ of length $l$ coherent sheaf quotients of a locally free sheaf $\mathcal{E}$ on a smooth projective surface. In particular, we investigate the nature of its singularities, its intersection theory, and the cohomology of sheaves on $\mathrm{Quot}^l_{S}(\mathcal{E})$.
Comment: revised version