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Paperback. Condition: new. Paperback. 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. The Bayreuth meeting on "Complex Algebraic Varieties"focussed on the classification of algebraic varieties andtopics such as vector bundles, Hodge theory and hermitiandifferential geometry. Tyurin: Thegeometry of the special components of moduli space of vectorbundles over algebraic surfaces of general type. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Softcover. Condition: Sehr gut. Proceedings, Bayreuth 1990. Bln., Springer (1992). gr.8°. 178 p. Pbck. Lecture Notes in Mathematics, 1507.- Furhter editors T. Peternell, M. Schneider, F.O. Schreyer.- Slightly browned.
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Paperback. Condition: new. Paperback. 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. The Bayreuth meeting on "Complex Algebraic Varieties"focussed on the classification of algebraic varieties andtopics such as vector bundles, Hodge theory and hermitiandifferential geometry. Tyurin: Thegeometry of the special components of moduli space of vectorbundles over algebraic surfaces of general type. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
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Taschenbuch. Condition: Neu. Complex Algebraic Varieties | Proceedings of a Conference held in Bayreuth, Germany, April 2-6, 1990 | Klaus Hulek (u. a.) | Taschenbuch | Lecture Notes in Mathematics | Einband - flex.(Paperback) | Englisch | 1992 | Springer | EAN 9783540552352 | Verantwortliche Person für die EU: Springer Nature Customer Service Center GmbH, Europaplatz 3, 69115 Heidelberg, productsafety[at]springernature[dot]com | Anbieter: preigu.
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Condition: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | 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.
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Condition: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | 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.
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Published by Springer Nature Switzerland, Springer Nature Switzerland, 2025
ISBN 10: 3031848330 ISBN 13: 9783031848339
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Algebraic Geometry is a huge area of mathematics which went through several phases: Hilbert's fundamental paper from 1890, sheaves and cohomology introduced by Serre in the 1950s, Grothendieck's theory of schemes in the 1960s and so on. This book covers the basic material known before Serre's introduction of sheaves to the subject with an emphasis on computational methods. In particular, we will use Gröbner basis systematically.The highlights are the Nullstellensatz, Gröbner basis, Hilbert's syzygy theorem and the Hilbert function, Bézout's theorem, semi-continuity of the fiber dimension, Bertini's theorem, Cremona resolution of plane curves and parametrization of rational curves.In the final chapter we discuss the proof of the Riemann-Roch theorem due to Brill and Noether, and give its basic applications.The algorithm to compute the Riemann-Roch space of a divisor on a curve, which has a plane model with only ordinary singularities, use adjoint systems. The proof of the completeness of adjoint systems becomes much more transparent if one use cohomology of coherent sheaves. Instead of giving the original proof of Max Noether, we explain in an appendix how this easily follows from standard facts on cohomology of coherent sheaves.The book aims at undergraduate students. It could be a course book for a first Algebraic Geometry lecture, and hopefully motivates further studies.