Algebraic Surfaces (Relié)

  • Springer

  • Paru le : 06/03/2001
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The main aim of this book is to, present a completely algebraic approach to the Enriques' classification of smooth projective surfaces defined over an... > Lire la suite
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The main aim of this book is to, present a completely algebraic approach to the Enriques' classification of smooth projective surfaces defined over an algebraically dosed field of arbitrary characteristic. This algebraic approach is one of the novelties in comparison to existing textbooks on the subject. In the new edition of this book, two chapters as well as exercises at the end of each chapter have been added. One new chapter deals with various applications of the Zariski decomposition of an effective divisor, and the other discusses some results on surfaces that were found after the publication of the first edition. For a reader who has completed a first course in algebraic geometry, the present book is completely self-contained. It can be used as a textbook for a graduate course on surfaces or as a resource for researchers and graduate students in algebraic geometry and related fields.
    • Cohomological Intersection Theory and the Nakai-Moishezon Criterion of Ampleness
    • The Hodge Index Theorem and the Structure of the Intersection Matrix of a Fiber
    • Criteria of Contractability and Rational Singularities
    • Properties of Rational Singularities
    • Noether's Formula, the Picard Scheme, the Albanese Variety, and Plurigenera
    • Existence of Minimal Models
    • Morphisms from a Surface to a Curve
    • Elliptic and Quasielliptic Fibrations
    • Canonical Dimension of an Elliptic or Quasielliptic Fibration
    • The Classification Theorem According to Canonical Dimension
    • Surfaces with Canonical Dimension Zero (char(k) ( 2,3)
    • Ruled Surfaces, The Noether-Tsen Criterion
    • Minimal Models of Ruled Surfaces
    • Characterization of Ruled and Rational Surfaces
    • Zariski Decomposition and Applications
  • Date de parution : 06/03/2001
  • Editeur : Springer
  • Collection : universitext
  • ISBN : 0-387-98668-5
  • EAN : 9780387986685
  • Présentation : Relié
  • Nb. de pages : 258 pages
  • Poids : 0.535 Kg
  • Dimensions : 16,0 cm × 24,5 cm × 1,7 cm

Biographie de Lucian Badescu

Lucian Badescu is Professor at the Department of Mathematics of the University of Bucharest and Senior Researcher at the Institute of Mathematics of the Romanian Academy. In 1981, he received the prize "Simion Stoilow" of the Romanian Academy for research in algebraic geometry and for the monograph "Suprafete Algebrice" (Editura Academiei Romane : Bucharest, 1981). He was also an Annual Member of the Institute for Advanced Study (Princeton) in the academic year 1981/82, and Visiting Professor of several universities and research institutes in the U.S. (e.g., University of California, Los Angeles, in the academic year 1999/2000) and Western Europe (e.g., Max-Planck Institut fuer Mathematik, Bonn, in the second semester of the academic year 1996/97). In addition, he is the author of approximately 40 research papers in algebraic geometry, one monograph ("Algebraic Surfaces"), and the book Lectures on Geometry (in Romanian, based on the course taught at the University of Bucharest).

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