Nearby cycles and D-modules of log schemes in characteristic $p>0$

Mardi 30 septembre 2008 14:30-15:30 - Tsuji Takeshi - Tokyo

Résumé : For a semi-stable scheme over a complete discrete valuation ring of mixed characteristic (0,p), I define nearby cycles as a D-module and study its properties. P. Berthelot recently proved that the cohomology of the nearby cycles coincides with Hyodo-Kato cohomology (log crystalline cohomology). Combining his result, we obtain a new construction of a weight spectral sequence, which was constructed by A. Mokrane using de Rham-Witt complex.

Lieu : 425 - 113-115

Nearby cycles and D-modules of log schemes in characteristic $p>0$  Version PDF