Curves of genus ten on K3 surfaces

Fernando Cukierman; Douglas Ulmer

Compositio Mathematica (1993)

  • Volume: 89, Issue: 1, page 81-90
  • ISSN: 0010-437X

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Cukierman, Fernando, and Ulmer, Douglas. "Curves of genus ten on K3 surfaces." Compositio Mathematica 89.1 (1993): 81-90. <http://eudml.org/doc/90253>.

@article{Cukierman1993,
author = {Cukierman, Fernando, Ulmer, Douglas},
journal = {Compositio Mathematica},
keywords = {moduli space of K3 surfaces; moduli space of curves; Wahl map},
language = {eng},
number = {1},
pages = {81-90},
publisher = {Kluwer Academic Publishers},
title = {Curves of genus ten on K3 surfaces},
url = {http://eudml.org/doc/90253},
volume = {89},
year = {1993},
}

TY - JOUR
AU - Cukierman, Fernando
AU - Ulmer, Douglas
TI - Curves of genus ten on K3 surfaces
JO - Compositio Mathematica
PY - 1993
PB - Kluwer Academic Publishers
VL - 89
IS - 1
SP - 81
EP - 90
LA - eng
KW - moduli space of K3 surfaces; moduli space of curves; Wahl map
UR - http://eudml.org/doc/90253
ER -

References

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  2. [B-M] A. Beauville and J.Y. Merindol: Sections hyperplanes des surfaces K3, Duke Math. J.55 (1987), 873-878. Zbl0663.14028MR916124
  3. [B] R. Bott: Homogeneous vector bundles, Annals of Math (2) 66 (1957), 203-248. Zbl0094.35701MR89473
  4. [B-E-L] A. Bertram, L. Ein and R. Lazarsfeld: Surjectivity of Gaussian maps for line bundles of large degree on curves, Preprint (1990). Zbl0752.14036MR1181203
  5. [C-H-M] C. Ciliberto, J. Harris and R. Miranda: On the surjectivity of the Wahl map, Duke Math. J.57 (1988), 829-858. Zbl0684.14009MR975124
  6. [C] F. Cukierman: Families of Weierstrass points, Duke Math. J.58 (1989), 317-346. Zbl0687.14026MR1016424
  7. [G-L] M. Green and R. Lazarsfeld: Special divisors on curves on a K3 surface, Invent. Math.89 (1987), 357-370. Zbl0625.14022MR894384
  8. [G-H] P. Griffiths and J. Harris: Principles of Algebraic Geometry, Wiley, New York, 1978. Zbl0408.14001MR507725
  9. [K] K. Kodaira: On compact complex analytic surfaces I, Annals of Math. (2) 71 (1960), 111-152. Zbl0098.13004MR132556
  10. [Ma] A. Mayer: Families of K-3 surfaces, Nagoya Math. J.48 (1972), 1-17. Zbl0244.14012MR330172
  11. [M-M] S. Mori and S. Mukai: The uniruledness of the moduli space of curves of genus 11, Algebraic Geometry. Proceedings of the Japanese-French Conference held at Tokyo and Kyoto (Lecture Notes in Mathematics1016) (1983), 334-353. Zbl0557.14015MR726433
  12. [M] S. Mukai: Curves, K3 surfaces and Fano 3-folds of genus ≤ 10 Algebraic Geometry and Commutative Algebra in honor of Masayoshi Nagata, Academic Press, Orlando (1987), 357-377. Zbl0701.14044
  13. [Mu] D. Mumford: Stability of projective varieties, L'Enseignement Math.24 (1977), 39-110. Zbl0363.14003MR450272
  14. [V] C. Voisin: Sur l'application de Wahl des courbes satisfaisant la condition de Brill-Noether-Petri, Preprint (1990). Zbl0767.14012
  15. [W] J. Wahl: The Jacobian algebra of a graded Gorenstein singularity, Duke Math. J.55 (1987), 843-871. Zbl0644.14001MR916123

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