Pasting pseudofunctors
| dc.creator | Nayak, Suresh | |
| dc.date | 2004-06-24 | |
| dc.date.accessioned | 2026-07-07T05:09:40Z | |
| dc.date.available | 2026-07-07T05:09:40Z | |
| dc.description | We give an abstract criterion for pasting pseudofunctors on two subcategories of a category into a pseudofunctor on the whole category. As an application we extend the variance theory of the twisted inverse image $(-)^!$ over schemes to that over formal schemes. Thus we show that over composites of compactifiable maps of noetherian formal schemes, there is a pseudofunctor $(-)^!$ such that if $f$ is a pseudoproper map, then $f^!$ is the right adjoint to the derived direct image $\R f_*$ and if $f$ is etale, then $f^!$ is the inverse image $f^*$. We also show that $(-)^!$ is compatible with flat base change. | |
| dc.description | 77 pages | |
| dc.identifier | https://arxiv.org/abs/math/0406501 | |
| dc.identifier | http://arxiv.org/abs/math/0406501 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71667 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Category Theory | |
| dc.subject | 14F99; 18D30 | |
| dc.title | Pasting pseudofunctors | |
| dc.type | text |