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 of these filtered complexes are proved, in particular the p-adic p...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Nakkajima, Yukiyoshi (Συγγραφέας), Shiho, Atsushi (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
Σειρά:Lecture Notes in Mathematics, 1959
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties  |h [electronic resource] /  |c by Yukiyoshi Nakkajima, Atsushi Shiho. 
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490 1 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 1959 
505 0 |a Preliminaries on Filtered Derived Categories and Topoi -- Weight Filtrations on Log Crystalline Cohomologies -- Weight Filtrations and Slope Filtrations on Rigid Cohomologies (Summary). 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Algebraic geometry. 
650 0 |a Commutative algebra. 
650 0 |a Commutative rings. 
650 1 4 |a Mathematics. 
650 2 4 |a Algebraic Geometry. 
650 2 4 |a Commutative Rings and Algebras. 
700 1 |a Shiho, Atsushi.  |e author. 
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830 0 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 1959 
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