Base change and Grothendieck duality for Cohen-Macaulay maps
| dc.creator | Sastry, Pramathanath | |
| dc.date | 2000-11-20 | |
| dc.date.accessioned | 2026-07-07T04:38:41Z | |
| dc.date.available | 2026-07-07T04:38:41Z | |
| dc.description | Let $f:X\to Y$ be a Cohen-Macaulay map of finite type between Noetherian schemes, and $:Y'\to Y$ a base change map, with $Y'$ Noetherian. Let $f'$ be the base change of $f$ under $g$ and $g'$ the base change of $g$ under $f$. We show that there is a canonical isomorphism between ${g'}^*ω_f$ and $ω_{f'}$, where $ω_f$ and $ω_{f'}$ are the relative dualizing sheaves. The map underlying this isomorphism is easily described when $f$ is proper, and has subtler description when $f$ is not. If $f$ is smooth we show that this map between the dualizing sheaves corresponds to the canonical identification of differential forms. Our results generalize the results of B. Conrad in two directions - wedo not need the properness assumption, and we do not need to assume that theschemes involved carry dualizing complexes. Residual complexes do not appear in this paper. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/math/0011138 | |
| dc.identifier | http://arxiv.org/abs/math/0011138 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60378 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14F10, 14B15 | |
| dc.title | Base change and Grothendieck duality for Cohen-Macaulay maps | |
| dc.type | text |