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Singularity theory applied to Θ-divisors

Part of the Lecture Notes in Mathematics book series (LNM,volume 1479)

Keywords

  • Irreducible Component
  • Total Space
  • Double Point
  • Duality Theorem
  • Tangent Cone

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§6. References

  1. A. Andreotti and A. Mayer, On period relations for abelian integrals on algebraic curves, Ann. Scuola Norm. Sup. Pisa 21 (1967), 189–238.

    MathSciNet  MATH  Google Scholar 

  2. A. Beauville, Prym varieties and the Schottky problem, Inv. Math. 41 (1977), 149–196.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. O. Debarre, Varietes de Prym et ensembles d'Andreotti et Mayer, Duke Math. Journal, vol.60, no.3 (1990), 599–630.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. O. Debarre, Le lieu des varietes abeliennes dont le diviseur theta est singulier a deux composantes, preprint.

    Google Scholar 

  5. O. Debarre, Le theoreme de Torelli pour les solides doubles, preprint.

    Google Scholar 

  6. O. Debarre, Sur le probleme de Torelli pour les varietes de Prym, Amer. Journal of Math. 111 (1989), 111–134.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. W. Fulton, Intersection Theory, Springer-Verlag, 1984.

    Google Scholar 

  8. M. Green, Quadrics of rank four in the ideal of the canonical curve, Inv. Math. 75 (1984), 84–104.

    CrossRef  MathSciNet  Google Scholar 

  9. A. Parusinski, A generalization of the Milnor number, Math. Ann. 281 (1988), 247–254.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. R. Smith and R. Varley, On the geometry of n0, Rend. Sem. Mat. Univers. Politecn. Torino, 42, 2 (1984), 29–37.

    MathSciNet  MATH  Google Scholar 

  11. R. Smith and R. Varley, Components of the locus of singular theta divisors of genus five, Algebraic Geometry, Sitges 1983, Lect. Notes in Math. 1124, Springer, 1985, 338–416.

    Google Scholar 

  12. R. Smith and R. Varley, Tangent cones to discriminant loci for families of hypersurfaces, Trans. A.M.S., 307 (1988), 647–674.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. R. Smith and R. Varley, Deformations of singular points on theta divisors, Theta Functions-Bowdoin 1987, Proc. Symp. Pure Math., vol. 49, part I, A.M.S., 1989, 571–579.

    Google Scholar 

  14. R. Smith and R. Varley, Deformations of theta divisors and the rank 4 quadrics problem, Comp. Math., 76 (1990), 367–398.

    MathSciNet  MATH  Google Scholar 

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© 1991 Springer-Verlag

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Smith, R., Varley, R. (1991). Singularity theory applied to Θ-divisors. In: Algebraic Geometry. Lecture Notes in Mathematics, vol 1479. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086273

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  • DOI: https://doi.org/10.1007/BFb0086273

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54456-2

  • Online ISBN: 978-3-540-38388-8

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