Título: Weight Filtrations On Log Crystalline Cohomologies Of Families Of Open Smooth Va | ||
Autor: Nakkajima Yukiyoshi/ Shiho Atsushi | Precio: $809.32 | |
Editorial: Springer Publishing Company | Año: 2008 | |
Tema: Matematicas | Edición: 1ª | |
Sinopsis | ISBN: 9783540705642 | |
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 of these filtered complexes are proved, 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. |