WebOct 22, 2011 · The goal of this short paper is to give a slightly different perspective on the comparison between crystalline cohomology and de Rham cohomology. Most notably, we reprove Berthelot's comparison result without using pd-stratifications, linearisations, and pd-differential operators. Submission history From: Bhargav Bhatt [ view email ] WebDivided Powers. Calculus with Divided Powers. The Crystalline Topos. Crystals. The Cohomology of a Crystal. Frobenius and the Hodge Filtration. JSTOR is part of , a not …
CRYSTALLINE COHOMOLOGY AND DE RHAM …
WebIt coincides with the complex defined by Illusie (Annls Sci. Ec. Norm. Super. 12 (1979 ... The hypercohomology of WΩ· X/S is compared to the crystalline cohomology if X is smooth over S and p is nilpotent on S. We obtain the structure of a 3n-display on the first crystalline cohomology group if X is proper and smooth over S. Keywords ... 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. unc family med at hedingham
Cohomologie cristalline SpringerLink
WebJan 2015. Luc Illusie. Grothendieck 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 ... 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 … WebJan 1, 2006 · Illusie, L. (1976). Cohomologie cristalline. In: Séminaire Bourbaki vol. 1974/75 Exposés 453–470. Lecture Notes in Mathematics, vol 514. Springer, Berlin, Heidelberg . … thorold barker wsj