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The Enumerative Theory of Conics after Halphen

  • Book
  • © 1986

Overview

Authors:
  1. Eduardo Casas-Alvero
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    You can also search for this author in PubMed   Google Scholar

  2. Sebastian Xambó-Descamps
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1196)

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Table of contents (23 chapters)

  1. Front Matter

    Pages I-IX
    Download chapter PDF

  2. Conics

    • Eduardo Casas-Alvero, Sebastian Xambó-Descamps
    Pages 1-2

  3. Complete conics

    • Eduardo Casas-Alvero, Sebastian Xambó-Descamps
    Pages 3-8

  4. Systems of conics

    • Eduardo Casas-Alvero, Sebastian Xambó-Descamps
    Pages 8-11

  5. Equations of the degeneration hypersurfaces

    • Eduardo Casas-Alvero, Sebastian Xambó-Descamps
    Pages 11-14

  6. Conditions imposed on conics

    • Eduardo Casas-Alvero, Sebastian Xambó-Descamps
    Pages 14-18

  7. Action of the projective group and proper solutions of an enumarative problem

    • Eduardo Casas-Alvero, Sebastian Xambó-Descamps
    Pages 18-22

  8. Genericity of the data of conditions

    • Eduardo Casas-Alvero, Sebastian Xambó-Descamps
    Pages 22-23

  9. Local characters of a condition

    • Eduardo Casas-Alvero, Sebastian Xambó-Descamps
    Pages 23-24

  10. Halphen's first formula

    • Eduardo Casas-Alvero, Sebastian Xambó-Descamps
    Pages 25-30

  11. Computation of characteristic numbers

    • Eduardo Casas-Alvero, Sebastian Xambó-Descamps
    Pages 31-35

  12. Examples

    • Eduardo Casas-Alvero, Sebastian Xambó-Descamps
    Pages 35-41

  13. Strict equivalence of conditions

    • Eduardo Casas-Alvero, Sebastian Xambó-Descamps
    Pages 41-45

  14. Systems of conics contained in Sp,q

    • Eduardo Casas-Alvero, Sebastian Xambó-Descamps
    Pages 45-47

  15. Conics satisfying five independent conditions

    • Eduardo Casas-Alvero, Sebastian Xambó-Descamps
    Pages 48-56

  16. Cycles on W and on B

    • Eduardo Casas-Alvero, Sebastian Xambó-Descamps
    Pages 56-61

  17. Multiplicity cycles and Noether's formula

    • Eduardo Casas-Alvero, Sebastian Xambó-Descamps
    Pages 61-67

  18. Improper intersection numbers

    • Eduardo Casas-Alvero, Sebastian Xambó-Descamps
    Pages 67-73

  19. Generalization of Halphen's formula to conditions of higher order

    • Eduardo Casas-Alvero, Sebastian Xambó-Descamps
    Pages 74-80

  20. Examples of higher order conditions

    • Eduardo Casas-Alvero, Sebastian Xambó-Descamps
    Pages 80-91
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Keywords

Bibliographic Information

  • Book Title: The Enumerative Theory of Conics after Halphen

  • Authors: Eduardo Casas-Alvero, Sebastian Xambó-Descamps

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0076501

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1986

  • Softcover ISBN: 978-3-540-16495-1Published: 01 June 1986

  • eBook ISBN: 978-3-540-39832-5Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 128

  • Topics: Mathematical Logic and Foundations

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