The singular Riemann-Roch theorem and Hilbert-Kunz functions
| dc.creator | Kurano, Kazuhiko | |
| dc.date | 2005-06-24 | |
| dc.date | 2005-11-22 | |
| dc.date.accessioned | 2026-07-07T06:42:31Z | |
| dc.date.available | 2026-07-07T06:42:31Z | |
| dc.description | In the paper, by the singular Riemann-Roch theorem, it is proved that the class of the e-th Frobenius power can be described using the class of the canonical module for a normal local ring of positive characteristic. As a corollary, we prove that the coefficient of the second term of the Hilbert-Kunz function of a finitely generated A-module M vanishes if A is a Q-Gorenstein ring and M is of finite projective dimension. For a normal algebraic variety X over a perfect field of positive characteristic, it is proved that the first Chern class of the direct image of the structure sheaf via e-th Frobenius power can be described using the canonical divisor of X. | |
| dc.description | 12 pages. to appear in J. Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0506492 | |
| dc.identifier | http://arxiv.org/abs/math/0506492 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102068 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13D40, 14C40 | |
| dc.title | The singular Riemann-Roch theorem and Hilbert-Kunz functions | |
| dc.type | text |