Cohomology of the moduli space of Hecke cycles
| dc.creator | Choe, Insong | |
| dc.creator | Choy, Jaeyoo | |
| dc.creator | Kiem, Young-Hoon | |
| dc.date | 2004-04-20 | |
| dc.date.accessioned | 2026-07-07T05:07:34Z | |
| dc.date.available | 2026-07-07T05:07:34Z | |
| dc.description | Let $X$ be a smooth projective curve of genus $g \ge 3$ and let $M_0$ be the moduli space of semistable bundles over $X$ of rank 2 with trivial determinant. Three different desingularizations of $M_0$ have been constructed by Seshadri \cite{Se1}, Narasimhan-Ramanan \cite{NR}, and Kirwan \cite{k5}. In this paper, we construct a birational morphism from Kirwan's desingularization to Narasimhan-Ramanan's, and prove that the Narasimhan-Ramanan's desingularization (called the moduli space of Hecke cycles) is the intermediate variety between Kirwan's and Seshadri's as was conjectured recently in \cite{KL}. As a by-product, we compute the cohomology of the moduli space of Hecke cycles. | |
| dc.description | 22 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0404351 | |
| dc.identifier | http://arxiv.org/abs/math/0404351 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70907 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60, 14F25, 14F42 | |
| dc.title | Cohomology of the moduli space of Hecke cycles | |
| dc.type | text |