{"product_id":"9783540705642","title":"Lecture Notes in Mathematics","description":"\u003ch1\u003eLecture Notes in Mathematics\u003c\/h1\u003e \u003ch2\u003eNakkajima, Yukiyoshi; Shiho, Atsushi\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eIn this volume, the authors construct a theory of weights on the log crystalline cohomologies of families of open smooth varieties in characteristic p\u0026gt;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 E\u003csub\u003e2\u003c\/sub\u003e-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\u0026gt;0.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2008-09-15\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783540705642\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-540-70565-9\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 272\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":45369798656140,"sku":"9783540705642","price":44.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783540705642.jpg?v=1775675145","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783540705642","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}