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Complex Projective Geometry

Complex Projective Geometry
Selected Papers

$100.00 (C)

Part of London Mathematical Society Lecture Note Series

J. Alexander, E. Arrondo, I. Sols, A. B. Aure, K. Ranestad, D. Avritzer, I. Vainsencher, M. Beltrametti, M. Schneider, A. J. Sommese, A. Bertram, E. Bifet, F. Ghione, M. Letizia, C. Ciliberto, R. Miranda, W. Decker, N. Manolache, F. O. Schreyer, L. Ein, R. Lazarsfeld, Ph. Ellia, R. Strano, F. Ghion, G. Ottaviani, L. Gruson, S. Kleiman, J. Le Potier, M. Martin-Deschamps, D. Perrin, S. Mukai, S. Muller-Stach, R. Strano, C. Voisin, J. Wahl, C. H. Walter
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  • Date Published: August 1992
  • availability: Available
  • format: Paperback
  • isbn: 9780521433525

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  • Algebraic geometers have renewed their interest in the interplay between algebraic vector bundles and projective embeddings. New methods have been developed for questions such as: What is the geometric content of syzygies and of bundles derived from them? How can they be used for giving good compactifications of natural families? Which differential techniques are needed for the study of families of projective varieties? These questions are addressed in this cohesive volume, where results, work in progress, conjectures, and modern accounts of classical ideas are presented.

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    Product details

    • Date Published: August 1992
    • format: Paperback
    • isbn: 9780521433525
    • length: 352 pages
    • dimensions: 229 x 152 x 20 mm
    • weight: 0.52kg
    • availability: Available
  • Table of Contents

    1. Speciality one rational surfaces in P4 J. Alexander
    2. Bounding sections of bundles on curves E. Arrondo and I. Sols
    3. The smooth surfaces of degree 9 in P4 A. B. Aure and K. Ranestad
    4. Compactifying the space of elliptic quartic curves D. Avritzer and I. Vainsencher
    5. Threefolds of degree 11 in P5 M. Beltrametti, M. Schneider and A. J. Sommese
    6. Complete extensions and their map to moduli space A. Bertram
    7. On the Betti numbers of the moduli space of stable bundles of rank two on a curve E. Bifet, F. Ghione and M. Letizia
    8. Gaussian maps for certain families of canonical curves C. Ciliberto and R. Miranda
    9. Geometry of the Horrocks bundle on P3 W. Decker, N. Manolache and F. O. Schreyer
    10. Stability and restrictions of Picard bundles, with an application to the normal bundles of elliptic curves L. Ein and R. Lazarsfeld
    11. Sections planes et majoration du genre des courbes gauches Ph. Ellia and R. Strano
    12. A tribute to Corrado Segre F. Ghione and G. Ottaviani
    13. Un aperçu des travaux mathématiques de G. H. Halphen (1844–1889) L. Gruson
    14. The source double-point cycle of a finite map of codimension one S. Kleiman
    15. Fibré déterminant et courbes de saut sur les surfaces algébriques J. Le Potier
    16. Courbes minimales dans les classes de biliaison M. Martin-Deschamps and D. Perrin
    17. Fano 3-folds S. Mukai
    18. Polarized K3 surfaces of genus 18 and 20 S. Mukai
    19. Projective compactifications of complex affine varieties S. Muller-Stach
    20. On generalized Laudal’s lemma R. Strano
    21. Sur la stabilité des sous-variétés lagrangiennes des variétés symplectiques holomorphes C. Voisin
    22. Introduction to Gaussian maps on an algebraic curve J. Wahl
    23. Some examples of obstructed curves in P3 C. H. Walter.

  • Editors

    G. Ellingsrud, Universitetet i Bergen, Norway

    C. Peskine, Université de Paris VI (Pierre et Marie Curie)

    G. Sacchiero, Università degli Studi di Trieste

    S. A. Stromme, Universitetet i Bergen, Norway

    Contributors

    J. Alexander, E. Arrondo, I. Sols, A. B. Aure, K. Ranestad, D. Avritzer, I. Vainsencher, M. Beltrametti, M. Schneider, A. J. Sommese, A. Bertram, E. Bifet, F. Ghione, M. Letizia, C. Ciliberto, R. Miranda, W. Decker, N. Manolache, F. O. Schreyer, L. Ein, R. Lazarsfeld, Ph. Ellia, R. Strano, F. Ghion, G. Ottaviani, L. Gruson, S. Kleiman, J. Le Potier, M. Martin-Deschamps, D. Perrin, S. Mukai, S. Muller-Stach, R. Strano, C. Voisin, J. Wahl, C. H. Walter

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