Cohomology and Obstructions II: Curves on K-trivial threefolds
| dc.creator | Clemens, Herbert | |
| dc.date | 2002-06-20 | |
| dc.date | 2002-10-08 | |
| dc.date.accessioned | 2026-07-07T04:49:16Z | |
| dc.date.available | 2026-07-07T04:49:16Z | |
| dc.description | On a threefold with trivial canonical bundle, Kuranishi theory gives an algebro-geometry construction of the (local analytic) Hilbert scheme of curves at a smooth holomorphic curve as a gradient scheme, that is, the zero-scheme of the exterior derivative of a holomorphic function on a (finite-dimensional) polydisk. (The corresponding fact in an infinite dimensional setting was long ago discovered by physicists.) An analogous algebro-geometric construction for the holomorphic Chern-Simons functional is presented giving the local analytic moduli scheme of a vector bundle. An analogous gradient scheme construction for Brill-Noether loci on ample divisors is also given. Finally, using a structure theorem of Donagi-Markman, we present a new formulation of the Abel-Jacobi mapping into the intermediate Jacobian of a threefold with trivial canonical bundle. | |
| dc.description | 30 pages, contributions by Richard Thomas and Claire Voisin, latex2e file | |
| dc.identifier | https://arxiv.org/abs/math/0206219 | |
| dc.identifier | http://arxiv.org/abs/math/0206219 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64357 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Cohomology and Obstructions II: Curves on K-trivial threefolds | |
| dc.type | text |