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TitleComplex 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
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1992
Connect tohttp://dx.doi.org/10.1007/BFb0094506
Descript VII, 179 p. online resource

SUMMARY

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


CONTENT

Annulation du H1 pour les fibrรฉs 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 lโ{128}{153}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


Mathematics Algebraic geometry Category theory (Mathematics) Homological algebra Differential geometry Mathematics Category Theory Homological Algebra Algebraic Geometry Differential Geometry



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