Complex Algebraic Varieties [electronic resource] : Proceedings of a Conference held in Bayreuth, Germany, April 2–6, 1990 / edited by Klaus Hulek, Thomas Peternell, Michael Schneider, Frank-Olaf Schreyer.

Contributor(s): Hulek, Klaus [editor.] | Peternell, Thomas [editor.] | Schneider, Michael [editor.] | Schreyer, Frank-Olaf [editor.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 1507Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1992Description: VII, 179 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540467861Subject(s): Mathematics | Geometry, algebraic | Mathematics | Algebraic GeometryAdditional physical formats: Printed edition:: No titleDDC classification: 516.35 LOC classification: QA564-609Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: The Bayreuth meeting on "Complex Algebraic Varieties" focussed on the classification of algebraic varieties and topics such as vector bundles, Hodge theory and hermitian differential geometry. Most of the articles in this volume are closely related to talks given at the conference: all are original, fully refereed research articles. CONTENTS: A. Beauville: Annulation du H(1) pour les fibres en droites plats.- M. Beltrametti, A.J. Sommese, J.A. Wisniewski: Results on varieties with many lines and their applications to adjunction theory.- G. Bohnhorst, H. Spindler: The stability of certain vector bundles on P(n) .- F. Catanese, F. Tovena: Vector bundles, linear systems and extensions of (1).- O. Debarre: Vers uns stratification de l'espace des modules des varietes abeliennes principalement polarisees.- J.P. Demailly: Singular hermitian metrics on positive line bundles.- T. Fujita: On adjoint bundles of ample vector bundles.- Y. Kawamata: Moderate degenerations of algebraic surfaces.- U. Persson: Genus two fibrations revisited.- Th. Peternell, M. Szurek, J.A. Wisniewski: Numerically effective vector bundles with small Chern classes.- C.A.M. Peters: On the rank of non-rigid period maps in the weight one and two case.- A.N. Tyurin: The geometry of the special components of moduli space of vector bundles over algebraic surfaces of general type.
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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.

The Bayreuth meeting on "Complex Algebraic Varieties" focussed on the classification of algebraic varieties and topics such as vector bundles, Hodge theory and hermitian differential geometry. Most of the articles in this volume are closely related to talks given at the conference: all are original, fully refereed research articles. CONTENTS: A. Beauville: Annulation du H(1) pour les fibres en droites plats.- M. Beltrametti, A.J. Sommese, J.A. Wisniewski: Results on varieties with many lines and their applications to adjunction theory.- G. Bohnhorst, H. Spindler: The stability of certain vector bundles on P(n) .- F. Catanese, F. Tovena: Vector bundles, linear systems and extensions of (1).- O. Debarre: Vers uns stratification de l'espace des modules des varietes abeliennes principalement polarisees.- J.P. Demailly: Singular hermitian metrics on positive line bundles.- T. Fujita: On adjoint bundles of ample vector bundles.- Y. Kawamata: Moderate degenerations of algebraic surfaces.- U. Persson: Genus two fibrations revisited.- Th. Peternell, M. Szurek, J.A. Wisniewski: Numerically effective vector bundles with small Chern classes.- C.A.M. Peters: On the rank of non-rigid period maps in the weight one and two case.- A.N. Tyurin: The geometry of the special components of moduli space of vector bundles over algebraic surfaces of general type.

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