WebLefschetz fixed point theorem, generalizing results of Dwork and Reich, may be proved, and this leads to a new proof, closely related to Dwork's, of the rationality of the zeta function. One of the indications that such a cohomology theory should exist is the fact that for varieties over the complexes the DeRham cohomology may be WebRecently the Dwork family turned out to play a key role in the proof of the Sato-Tate conjecture (for elliptic curves over Q with non-integral j-invariant), cf. [H-SB-T, Section 1, pp. 5-15]. The present paper gives a new approach to computing the local system given by the cohomology of the Dwork family, and more generally of families

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WebAbstract. We give a new approach to the cohomology of the Dwork family, and more generally of single-monomial deformations of Fermat hypersurfaces. This approach is based on the surprising connection between these families and Kloosterman sums, and makes use of the Fourier Transform and the theory of Kloosterman sheaves and of hypergeometric ... WebNov 3, 1999 · PDF In the 1960s, Dwork developed a p-adic cohomology theory of de Rham type for varieties over finite fields, based on a trace formula for the action... Find, … polyurethane products corp addison il

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WebOct 3, 1999 · Dwork cohomology, de Rham cohomology, and hypergeometric functions. In the 1960s, Dwork developed a p-adic cohomology theory of de Rham type for varieties … WebOct 17, 2024 · Abstract: In this article, we prove a comparison theorem between the Dwork cohomology introduced by Adolphson and Sperber and the rigid cohomology. As a corollary, we can calculate the rigid cohomology of Dwork isocrystal on torus. Comments: 12 pages: Subjects: Algebraic Geometry (math.AG) WebNov 3, 1999 · In the 1960s, Dwork developed a p-adic cohomology theory of de Rham type for varieties over finite fields, based on a trace formula for the action of a Frobenius operator on certain spaces of p ... polyurethane polishing pad for glass lenses