A De Rham-Witt approach to crystalline rational homotopy theory
| dc.creator | Kim, Minhyong | |
| dc.creator | Hain, Richard M. | |
| dc.date | 2001-05-01 | |
| dc.date | 2002-10-17 | |
| dc.date.accessioned | 2026-07-07T04:41:33Z | |
| dc.date.available | 2026-07-07T04:41:33Z | |
| dc.description | We construct the crystalline fundamental group of a semi-stable variety over a field of positive characteristic using the log De Rham-Witt complex and Navarro-Aznar's derived Thom-Whitney functor. This approach gives a relatively direct comparison theorem with the De Rham fundamental group in the liftable case. Also, we get a natural weight filtration which makes the coordinate ring of the crystalline fundamental group into a mixed isocrystal when the variety is defined over a finite field. Finally, the monodromy operator on the crystalline fundamental group is used to prove a crystalline analogue of Oda's good reduction criterion for curves. | |
| dc.description | Scope of comparison isomorphism narrowed. General case dealt with in a separate preprint. Also, some typos corrected | |
| dc.identifier | https://arxiv.org/abs/math/0105008 | |
| dc.identifier | http://arxiv.org/abs/math/0105008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61405 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 14G40 | |
| dc.title | A De Rham-Witt approach to crystalline rational homotopy theory | |
| dc.type | text |