Ideals of the cohomology rings of Hilbert schemes and their applications
| dc.creator | Li, Wei-Ping | |
| dc.creator | Qin, Zhenbo | |
| dc.creator | Wang, Weiqiang | |
| dc.date | 2002-08-09 | |
| dc.date | 2003-10-23 | |
| dc.date.accessioned | 2026-07-07T04:50:09Z | |
| dc.date.available | 2026-07-07T04:50:09Z | |
| dc.description | We study the ideals of the rational cohomology ring of the Hilbert scheme X^{[n]} of n points on a smooth projective surface X. As an application, for a large class of smooth quasi-projective surfaces X, we show that every cup product structure constant of H^*(X^{[n]}) is independent of n; moreover, we obtain two sets of ring generators for the cohomology ring H^*(X^{[n]}). Similar results are established for the Chen-Ruan orbifold cohomology ring of the symmetric product. In particular, we prove a ring isomorphism between H^*(X^{[n]}, C) and H^*_{orb}(X^{[n]}/S_n, C) for a large class of smooth quasi-projective surfaces with numerically trivial canonical class. | |
| dc.description | Final version to appear on Trans. AMS | |
| dc.identifier | https://arxiv.org/abs/math/0208070 | |
| dc.identifier | http://arxiv.org/abs/math/0208070 | |
| dc.identifier | Trans. AMS, Vol.356 No.1 (2004), p245-265 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64688 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Quantum Algebra | |
| dc.subject | 14C05(Primary) 14F25, 17B69(Secondary) | |
| dc.title | Ideals of the cohomology rings of Hilbert schemes and their applications | |
| dc.type | text |