Beschreibung
Details
Einband
Taschenbuch
Erscheinungsdatum
01.12.1992
Verlag
Springer BaselSeitenzahl
166
Maße (L/B/H)
24.4/17/1 cm
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).
Weitere Bände von Oberwolfach Seminars
-
Zur Artikeldetailseite von Lectures on Vanishing Theorems des Autors Esnault
Band 20Esnault
Lectures on Vanishing TheoremsBuch
Fr. 119.00
-
Zur Artikeldetailseite von Computational Algebraic Number Theory des Autors M.E. Pohst
Band 21M.E. Pohst
Computational Algebraic Number TheoryBuch
Fr. 45.90
-
Zur Artikeldetailseite von Topics in Control Theory des Autors Hans W. Knobloch
Band 22Hans W. Knobloch
Topics in Control TheoryBuch
Fr. 45.90
-
Zur Artikeldetailseite von Homotopy Theory and Models des Autors Marc Aubry
Band 24Marc Aubry
Homotopy Theory and ModelsBuch
Fr. 72.90
-
Zur Artikeldetailseite von Lectures on Spaces of Nonpositive Curvature des Autors Werner Ballmann
Band 25Werner Ballmann
Lectures on Spaces of Nonpositive CurvatureBuch
Fr. 45.90
-
Zur Artikeldetailseite von Geometry of Higher Dimensional Algebraic Varieties des Autors Thomas Peternell
Band 26Thomas Peternell
Geometry of Higher Dimensional Algebraic VarietiesBuch
Fr. 45.90
-
Zur Artikeldetailseite von Classical Nonintegrability, Quantum Chaos des Autors Andreas Knauf
Band 27Andreas Knauf
Classical Nonintegrability, Quantum ChaosBuch
Fr. 52.90
-
Zur Artikeldetailseite von Scaling Limits and Models in Physical Processes des Autors Carlo Cercignani
Band 28Carlo Cercignani
Scaling Limits and Models in Physical ProcessesBuch
Fr. 52.90
-
Zur Artikeldetailseite von Polytopes - Combinations and Computation des Autors Gil Kalai
Band 29Gil Kalai
Polytopes - Combinations and ComputationBuch
Fr. 52.90
-
Zur Artikeldetailseite von Hermann Weyl's Raum - Zeit - Materie and a General Introduction to His Scientific Work des Autors Erhard Scholz
Band 30Erhard Scholz
Hermann Weyl's Raum - Zeit - Materie and a General Introduction to His Scientific WorkeBook
Fr. 84.90
-
Zur Artikeldetailseite von Infinite Dimensional Kähler Manifolds des Autors Alan Huckleberry
Band 31Alan Huckleberry
Infinite Dimensional Kähler ManifoldsBuch
Fr. 73.90
-
Zur Artikeldetailseite von Ten Lectures on Random Media des Autors Erwin Bolthausen
Band 32Erwin Bolthausen
Ten Lectures on Random MediaBuch
Fr. 45.90
Unsere Kundinnen und Kunden meinen
Verfassen Sie die erste Bewertung zu diesem Artikel
Helfen Sie anderen Kund*innen durch Ihre Meinung
Erste Bewertung verfassen