Lectures on Vanishing Theorems

Name: Lectures on Vanishing Theorems
Brand: Birkhauser Verlag AG
SKU: 9783764328221
Price: 1944 CZK
Availability: InStock

Papers of a DMV-seminar on algebraic geometry, Schloß Reisensburg, October 13-19, 1991

Autor: Helene Esnault, Eckart Viehweg

Jazyk:

Vazba: Brožovaná

Vydavatel: Birkhauser Verlag AG

Dostupnost: Skladem u dodavatele

Odesíláme za 5-8 dnů

1 944 Kč

Introduction M. Kodaira's vanishing theorem, saying that the inverse of an ample invert ible sheaf o...

Informace o knize

Autor

Helene Esnault, Eckart Viehweg

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

1992

Stránek

166

EAN

9783764328221

ISBN

3764328223

Enbook ID

06930121

Vydavatel

Birkhauser Verlag AG

Hmotnost

350

Rozměry

170 x 244 x 10

Kompletní popis

Introduction M. Kodaira's vanishing theorem, saying that the inverse of an ample invert ible sheaf on a projective complex manifold X has no cohomology below the dimension of X and its generalization, due to Y. Akizuki and S. Nakano, have been proven originally by methods from differential geometry ([39J and [1]). Even if, due to J.P. Serre's GAGA-theorems [56J and base change for field extensions the algebraic analogue was obtained for projective manifolds over a field k of characteristic p = 0, for a long time no algebraic proof was known and no generalization to p 0, except for certain lower dimensional manifolds. Worse, counterexamples due to M. Raynaud [52J showed that in characteristic p 0 some additional assumptions were needed. This was the state of the art until P. Deligne and 1. Illusie [12J proved the degeneration of the Hodge to de Rham spectral sequence for projective manifolds X defined over a field k of characteristic p 0 and liftable to the second Witt vectors W2(k). Standard degeneration arguments allow to deduce the degeneration of the Hodge to de Rham spectral sequence in characteristic zero, as well, a re sult which again could only be obtained by analytic and differential geometric methods beforehand. As a corollary of their methods M. Raynaud (loc. cit.) gave an easy proof of Kodaira vanishing in all characteristics, provided that X lifts to W2(k).

Mohlo by vás zajímat

Zákaznicí kteří koupili tuto knihu koupili také

Nejčastěji hledané

Categories

Authors

Publishers

Produkty

Produkty

Nejčastěji hledané

Categories

Authors

Publishers

Produkty

Produkty

Lectures on Vanishing Theorems

Papers of a DMV-seminar on algebraic geometry, Schloß Reisensburg, October 13-19, 1991

Informace o knize

Kompletní popis

Mohlo by vás zajímat

Zákaznicí kteří koupili tuto knihu koupili také