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Classification of Algebraic Varieties
 
Edited by: Ciro Ciliberto University di Tor Vergata, Rome, Italy
E. Laura Livorni University Degli Studi Dell’Aquila, L’Aquila, Italy
Andrew J. Sommese University of Notre Dame, Notre Dame, IN
Classification of Algebraic Varieties
eBook ISBN:  978-0-8218-7753-1
Product Code:  CONM/162.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Classification of Algebraic Varieties
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Classification of Algebraic Varieties
Edited by: Ciro Ciliberto University di Tor Vergata, Rome, Italy
E. Laura Livorni University Degli Studi Dell’Aquila, L’Aquila, Italy
Andrew J. Sommese University of Notre Dame, Notre Dame, IN
eBook ISBN:  978-0-8218-7753-1
Product Code:  CONM/162.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 1621994; 410 pp
    MSC: Primary 14;

    This volume contains the proceedings of the Algebraic Geometry Conference on Classification of Algebraic Varieties, held in May 1992 at the University of L'Aquila in Italy. The papers discuss a wide variety of problems that illustrate interactions between algebraic geometry and other branches of mathematics. Among the topics covered are algebraic curve theory, algebraic surface theory, the theory of minimal models, braid groups and the topology of algebraic varieties, toric varieties, Calabi-Yau three-folds, enumerative formulas, and generalizations of Kähler differential geometry. In addition to algebraic geometers, theoretical physicists in some areas will find this book useful. The book is also suitable for an advanced graduate course in algebraic geometry, as it provides an overview of some areas of current research.

    Readership

    Advanced graduate students in algebraic geometry, algebraic geometers, and theoretical physicists.

  • Table of Contents
     
     
    • Articles
    • A. Alzati and G. P. Pirola — On curves in $C^{(2)}$ generating proper abelian subvarieties of $J(C)$ [ MR 1272690 ]
    • Lucian Bădescu — Lefschetz type results for proper intersections [ MR 1272691 ]
    • Mauro C. Beltrametti and Andrew J. Sommese — Some effects of the spectral values on reductions [ MR 1272692 ]
    • Giorgio Bolondi — Surfaces in $\mathbf {P}^4$ and deficiency modules [ MR 1272693 ]
    • F. Campana — The class $\scr C$ is not stable by small deformations. II [ MR 1272694 ]
    • F. Catanese, P. Cragnolini and P. Oliverio — Surfaces with $K^2=\chi =2$ and special nets of quadrics in $3$-space [ MR 1272695 ]
    • Ciro Ciliberto and Gerard van der Geer — Nonisomorphic curves of genus four with isomorphic (nonpolarized) Jacobians [ MR 1272696 ]
    • Barbara Fantechi — Deformations of symmetric products of curves [ MR 1272697 ]
    • Hubert Flenner and Mikhail Zaidenberg — $\mathbf {Q}$-acyclic surfaces and their deformations [ MR 1272698 ]
    • A. Grassi — On a question of J. Kollár [ MR 1272699 ]
    • Paltin Ionescu and Matei Toma — Boundedness for some special families of embedded manifolds [ MR 1272700 ]
    • Krzysztof Jaczewski — Generalized Euler sequence and toric varieties [ MR 1272701 ]
    • Steven L. Kleiman — A generalized Teissier-Plücker formula [ MR 1272702 ]
    • János Kollár — Log surfaces of general type; some conjectures [ MR 1272703 ]
    • A. Lanteri, M. Palleschi and A. J. Sommese — On triple covers of $\mathbf {P}^n$ as very ample divisors [ MR 1272704 ]
    • Rick Miranda — Component numbers for torsion sections of semistable elliptic surfaces [ MR 1272705 ]
    • Boris Moishezon and Mina Teicher — Braid group techniques in complex geometry. III. Projective degeneration of $V_3$ [ MR 1272706 ]
    • Boris Moishezon and Mina Teicher — Braid group techniques in complex geometry. IV. Braid monodromy of the branch curve $S_3$ of $V_3\to \mathbf {C}\mathrm {P}^2$ and application to $\pi _1(\mathbf {C}\mathrm {P}^2-S_3,*)$ [ MR 1272707 ]
    • Fumio Sakai — On the irregularity of cyclic coverings of the projective plane [ MR 1272708 ]
    • Peter Swinnerton-Dyer — Counting rational points on cubic surfaces [ MR 1272709 ]
    • Jonathan Wahl — Miyaoka-Yau inequality for normal surfaces and local analogues [ MR 1272710 ]
    • P. M. H. Wilson — Minimal models of Calabi-Yau threefolds [ MR 1272711 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1621994; 410 pp
MSC: Primary 14;

This volume contains the proceedings of the Algebraic Geometry Conference on Classification of Algebraic Varieties, held in May 1992 at the University of L'Aquila in Italy. The papers discuss a wide variety of problems that illustrate interactions between algebraic geometry and other branches of mathematics. Among the topics covered are algebraic curve theory, algebraic surface theory, the theory of minimal models, braid groups and the topology of algebraic varieties, toric varieties, Calabi-Yau three-folds, enumerative formulas, and generalizations of Kähler differential geometry. In addition to algebraic geometers, theoretical physicists in some areas will find this book useful. The book is also suitable for an advanced graduate course in algebraic geometry, as it provides an overview of some areas of current research.

Readership

Advanced graduate students in algebraic geometry, algebraic geometers, and theoretical physicists.

  • Articles
  • A. Alzati and G. P. Pirola — On curves in $C^{(2)}$ generating proper abelian subvarieties of $J(C)$ [ MR 1272690 ]
  • Lucian Bădescu — Lefschetz type results for proper intersections [ MR 1272691 ]
  • Mauro C. Beltrametti and Andrew J. Sommese — Some effects of the spectral values on reductions [ MR 1272692 ]
  • Giorgio Bolondi — Surfaces in $\mathbf {P}^4$ and deficiency modules [ MR 1272693 ]
  • F. Campana — The class $\scr C$ is not stable by small deformations. II [ MR 1272694 ]
  • F. Catanese, P. Cragnolini and P. Oliverio — Surfaces with $K^2=\chi =2$ and special nets of quadrics in $3$-space [ MR 1272695 ]
  • Ciro Ciliberto and Gerard van der Geer — Nonisomorphic curves of genus four with isomorphic (nonpolarized) Jacobians [ MR 1272696 ]
  • Barbara Fantechi — Deformations of symmetric products of curves [ MR 1272697 ]
  • Hubert Flenner and Mikhail Zaidenberg — $\mathbf {Q}$-acyclic surfaces and their deformations [ MR 1272698 ]
  • A. Grassi — On a question of J. Kollár [ MR 1272699 ]
  • Paltin Ionescu and Matei Toma — Boundedness for some special families of embedded manifolds [ MR 1272700 ]
  • Krzysztof Jaczewski — Generalized Euler sequence and toric varieties [ MR 1272701 ]
  • Steven L. Kleiman — A generalized Teissier-Plücker formula [ MR 1272702 ]
  • János Kollár — Log surfaces of general type; some conjectures [ MR 1272703 ]
  • A. Lanteri, M. Palleschi and A. J. Sommese — On triple covers of $\mathbf {P}^n$ as very ample divisors [ MR 1272704 ]
  • Rick Miranda — Component numbers for torsion sections of semistable elliptic surfaces [ MR 1272705 ]
  • Boris Moishezon and Mina Teicher — Braid group techniques in complex geometry. III. Projective degeneration of $V_3$ [ MR 1272706 ]
  • Boris Moishezon and Mina Teicher — Braid group techniques in complex geometry. IV. Braid monodromy of the branch curve $S_3$ of $V_3\to \mathbf {C}\mathrm {P}^2$ and application to $\pi _1(\mathbf {C}\mathrm {P}^2-S_3,*)$ [ MR 1272707 ]
  • Fumio Sakai — On the irregularity of cyclic coverings of the projective plane [ MR 1272708 ]
  • Peter Swinnerton-Dyer — Counting rational points on cubic surfaces [ MR 1272709 ]
  • Jonathan Wahl — Miyaoka-Yau inequality for normal surfaces and local analogues [ MR 1272710 ]
  • P. M. H. Wilson — Minimal models of Calabi-Yau threefolds [ MR 1272711 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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