Weight filtrations on log crystalline cohomologies of families of open smooth varieties

In this volume, the authors construct a theory of weights on the log crystalline cohomologies of families of open smooth varieties in characteristic p>0, by defining and constructing four filtered complexes. Fundamental properties ofthese filtered complexes are proven, in particular the p-adic purity, the functionality of three filtered complexes, the weight-filtered base change formula, the weight-filtered Künneth formula, the weight-filtered Poincaré duality, and the E2-degeneration of p-adic weight spectral sequences. In addition, the authors state some theorems on the weight filtration and the slope filtration on the rigid cohomology of a separated scheme of finite type over a perfect field of characteristic p>0. INDICE: 1. Preliminaries on filtered derived categories and topoi.- 2. Weight filtrations on log crystalline cohomologies.- 3. Weight filtrations and slope filtrations on rigid cohomologies (summary).

• ISBN: 978-3-540-70564-2
• Editorial: Springer
• Encuadernacion: Rústica
• Páginas: 280
• Fecha Publicación: 01/09/2008
• Nº Volúmenes: 1
• Idioma: Inglés