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Complex Algebraic Varieties

Proceedings of a Conference held in Bayreuth, Germany, April 2-6, 1990

Klaus Hulek, Thomas Peternell, Michael Schneider, Frank-Olaf Schreyer (Herausgeber)

Buch | Softcover

VII, 179 Seiten

1992
Springer Berlin (Verlag)
978-3-540-55235-2 (ISBN)

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The Bayreuth meeting on "Complex Algebraic Varieties"focussed on the classification of algebraic varieties andtopics such as vector bundles, Hodge theory and hermitiandifferential geometry. Most of the articles in this volumeare closely related to talks given at the conference: allare original, fully refereed research articles.CONTENTS: A. Beauville: Annulation du H(1) pour les fibresen droites plats.- M. Beltrametti, A.J. Sommese, J.A.Wisniewski: Results on varieties with many lines and theirapplications to adjunction theory.- G. Bohnhorst, H.Spindler: The stability of certain vector bundles on P(n) .-F. Catanese, F. Tovena: Vector bundles, linear systems andextensions of (1).- O. Debarre: Vers uns stratification del'espace des modules des varietes abeliennes principalementpolarisees.- J.P. Demailly: Singular hermitian metrics onpositive line bundles.- T. Fujita: On adjoint bundles ofample vector bundles.- Y. Kawamata: Moderate degenerationsof algebraic surfaces.- U. Persson: Genus two fibrationsrevisited.- Th. Peternell, M. Szurek, J.A. Wisniewski:Numerically effective vector bundles with small Chernclasses.- C.A.M. Peters: On the rank of non-rigid periodmaps in the weight one and two case.- A.N. Tyurin: Thegeometry of the special components of moduli space of vectorbundles over algebraic surfaces of general type.

Michael Schneider, Dr. phil., ist Privatdozent und Projektleiter am Institut für Sozialwissenschaften der TU München.

Annulation du H1 pour les fibrés en droites plats.- Results on varieties with many lines and their applications to adjunction theory.- The stability of certain vector bundles on ? n .- Vector bundles, linear systems and extensions of ?1.- Vers une stratification de l'espace des modules des varietes abeliennes principalement polarisees.- Singular hermitian metrics on positive line bundles.- On adjoint bundles of ample vector bundles.- Moderate degenerations of algebraic surfaces.- Genus two fibrations revisited.- Numerically effective vector bundles with small Chern classes.- On the rank of non-rigid period maps in the weight one and two case.- The geometry of the special components of moduli space of vector bundles over algebraic surfaces of general type.

Erscheint lt. Verlag	11.3.1992
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	VII, 179 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	304 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Abelian varieties • Algebraic Varieties • cohomology • Differential Geometry • moduli space • Surfaces • Vector Bundles
ISBN-10	3-540-55235-9 / 3540552359
ISBN-13	978-3-540-55235-2 / 9783540552352
Zustand	Neuware