LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	516.35
Title	Weil Conjectures, Perverse Sheaves and l’adic Fourier Transform ([EBook] /) / by Reinhardt Kiehl, Rainer Weissauer.
Author	Kiehl, Reinhardt
Added Personal Name	Weissauer, Rainer author.
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2001.
Physical Details	XII, 375 p. : online resource.
Series	Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics 0071-1136 ; ; 42
ISBN	9783662045763
Summary Note	In this book the authors describe the important generalization of the original Weil conjectures, as given by P. Deligne in his fundamental paper "La conjecture de Weil II". The authors follow the important and beautiful methods of Laumon and Brylinski which lead to a simplification of Deligne's theory. Deligne's work is closely related to the sheaf theoretic theory of perverse sheaves. In this framework Deligne's results on global weights and his notion of purity of complexes obtain a satisfactory and final form. Therefore the authors include the complete theory of middle perverse sheaves. In this part, the l-adic Fourier transform is introduced as a technique providing natural and simple proofs. To round things off, there are three chapters with significant applications of these theories.:
Contents note	I. The General Weil Conjectures (Deligne’s Theory of Weights) -- II. The Formalism of Derived Categories -- III. Perverse Sheaves -- IV. Lefschetz Theory and the Brylinski—Radon Transform -- V. Trigonometric Sums -- VI. The Springer Representations -- B. Bertini Theorem for Etale Sheaves -- C. Kummer Extensions -- D. Finiteness Theorems.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-662-04576-3
Links to Related Works	Subject References: Algebraic Geometry . Group theory . Group Theory and Generalizations . K-Theory . Mathematics . Authors: Kiehl, Reinhardt . Weissauer, Rainer . Corporate Authors: SpringerLink (Online service) . Series: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics . Classification: 516.35 .

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Weil Conjectures, Perverse Sheaves and l’adic Fourier Transform

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