Weil Conjectures, Perverse Sheaves and ℓ-adic Fourier Transform: 42 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 42) - Image 1

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Springer Weil Conjectures, Perverse Sheaves and ℓ-adic Fourier Transform: 42 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 42)

Name: Weil Conjectures, Perverse Sheaves and -adic Fourier Transform: 42 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 42)
Brand: Springer
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Algebra

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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.

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Brand: Springer
Format: hardcover
ASIN: 3540414576
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 14 August 2001
Listed Since: 12 February 2007

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Springer Weil Conjectures, Perverse Sheaves and ℓ-adic Fourier Transform: 42 (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 42)

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