WebAug 1, 1999 · In this text the author uses stack-theoretic techniques to study the crystalline structure on the de Rham cohomology of a proper smooth scheme over a p-adic field and applications to p-adic Hodge … Expand WebAnother interesting example is the crystalline topos, constructed by Grothendieck and Berthelot, which is crucial in differential calculus and the study of de Rham cohomology …
BSTRACT linearisations, and pd-differential operators.
WebEdit: A "a new cohomology theory in characteristic p>0, the so called F-gauge cohomology, a cohomology with values in the category of so-called F-gauges, which … WebMar 20, 2007 · In this paper, we discuss a p-adic analogue of the Picard–Lefschetz formula. For a family with ordinary double points over a complete discrete valuation ring of mixed characteristic (0,p), we construct vanishing cycle modules which measure the difference between the rigid cohomology groups of the special fiber and the de Rham … pick up for furniture donation
AMS :: Journal of Algebraic Geometry
WebON NONCOMMUTATIVE CRYSTALLINE COHOMOLOGY 5 Theorem 2.13. For a nitely generated smooth commutative algebra over F p there is a natural isomorphism W nHH (A)!˘ W n A where the right hand side denotes De Rham -Witt forms of Deligne-Illusie [22]. This isomorphism intertwines the cyclic di erential Bwith the De Rham di erential. Theorem … WebFeb 28, 2024 · In the case where k has positive characteristic, Berthelot and Grothendieck introduced a refinement of algebraic de Rham cohomology, known as crystalline cohomology. Later work of Bloch, Deligne, and Illusie showed that crystalline cohomology could be computed using an explicit chain complex, called the de Rham … WebGrothendieck visited Pisa twice, in 1966, and in 1969. It is on these occasions that he conceived his theory of crystalline cohomology and wrote foundations for the theory of deformations of p -divisible groups, which he called Barsotti-Tate groups. He did this in two letters, one to Tate, dated May 1966, and one to me, dated Dec. 2–4, 1969. pick up for sale ontario