Logarithmic heat projective operators
| dc.creator | Sun, Xiaotao | |
| dc.date | 2000-09-21 | |
| dc.date.accessioned | 2026-07-07T04:37:38Z | |
| dc.date.available | 2026-07-07T04:37:38Z | |
| dc.description | Let $f:\Cal C\to S$ be a flat family of curves over a smooth curve $S$ such that $f$ is smooth over $S_0=S\ssm\{s_0\}$ and $f^{-1}(s_0)=\Cal C_0$ is irreducible with one node. We have an associated family $\Cal M_{S_0}\to S_0$ of moduli spaces of semistable vector bundles and the relative theta line bundle $Θ_{S_0}$. We are interested in the problem: to find suitable degeneration $\Cal M_S$ of moduli spaces and extension $Θ_S$ of theta line bundles such that the direct image of $Θ_S$ is a vector bundle on $S$ with a logarithmic projective connection. In this paper, we figured out the conditions of existence of the connection and solved the problem for rank one. | |
| dc.description | 26 pages, amstex | |
| dc.identifier | https://arxiv.org/abs/math/0009196 | |
| dc.identifier | http://arxiv.org/abs/math/0009196 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59976 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Logarithmic heat projective operators | |
| dc.type | text |