Dwork cohomology
WebJul 25, 2024 · Dwork [12] engineered a cohomology theory in order to study the zeta function of a projective hypersurface over a finite field F q of q element s with … 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 …
Dwork cohomology
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WebDec 12, 2010 · 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 … WebEnter the email address you signed up with and we'll email you a reset link.
WebBy using Dwork cohomology, we demonstrate that this common factor is related to a hypergeometric Picard–Fuchs differential equation. The factor in the zeta function is defined over the rationals ... WebCohomology and estimates By ALAN ADOLPHSON1 and STEVEN SPERBER2 Dedicated to our teacher, Bernard Dwork The basic objects of this study are exponential sums on a …
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, … WebIn 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 …
WebDwork's p-adic cohomology theory was developed further in [AS3, AS4], where the cohomology of a general class of "twisted exponential sums" was computed, and in [AS5], where the cohomology of smooth complete intersections over finite fields was computed. The point of this article is that, via the Laplace transform, the results and methods of ...
WebFeb 20, 2015 · VA Directive 6518 4 f. The VA shall identify and designate as “common” all information that is used across multiple Administrations and staff offices to serve VA … coeff of thermal conductivityWebIn mathematics, crystalline cohomology is a Weil cohomology theory for schemes X over a base field k. Its values H n (X/W) are modules over the ring W of Witt vectors over k. It … calvin lewis nestonWebOct 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) coeff of viscosity dimensional formulaWebOn Dwork cohomology for singular hypersurfaces. On Dwork cohomology and algebraic D-modules. An introduction to the theory of p-adic representations. Smooth p-adic analytic spaces are locally contractible. II. Germs of analytic varieties in algebraic varieties: canonical metrics and arithmetic algebraization theorems ... coeff of viscosityWebA dwork's primary message is: "I hate ALL men and my hate is the prettiest hate on Earth." A dwork's mission goal is self-justification, the destruction of heterosexual relationships … coeff position syntecWebMar 21, 2010 · Dwork's use of p-adic analysis in algebraic geometry. Using p-adic analysis, Dwork was the first to prove the rationality of the zeta function of a variety over a finite … coeff otWebIn particular, Dwork’s work gives a construction of modules isomorphic to the middle (relative) deRham cohomology, equipped with an integrable connection which is equivalent to the Gauss-Manin connection. By the work of Katz and Oda [21], we know that this connection is essentially differentiation of cohomology classes with respect to the ... calvin l hinz architects