A theorem of Gieseker-Petri type for Prym varieties

Gerald E. Welters

Annales scientifiques de l'École Normale Supérieure (1985)

  • Volume: 18, Issue: 4, page 671-683
  • ISSN: 0012-9593

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Welters, Gerald E.. "A theorem of Gieseker-Petri type for Prym varieties." Annales scientifiques de l'École Normale Supérieure 18.4 (1985): 671-683. <http://eudml.org/doc/82169>.

@article{Welters1985,
author = {Welters, Gerald E.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {Brill-Noether theory; theta division; Prym variety},
language = {eng},
number = {4},
pages = {671-683},
publisher = {Elsevier},
title = {A theorem of Gieseker-Petri type for Prym varieties},
url = {http://eudml.org/doc/82169},
volume = {18},
year = {1985},
}

TY - JOUR
AU - Welters, Gerald E.
TI - A theorem of Gieseker-Petri type for Prym varieties
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1985
PB - Elsevier
VL - 18
IS - 4
SP - 671
EP - 683
LA - eng
KW - Brill-Noether theory; theta division; Prym variety
UR - http://eudml.org/doc/82169
ER -

References

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  1. [1] E. ARBARELLO, M. CORNALBA, P. A. GRIFFITHS and J. HARRIS, Geometry of Algebraic Curves, Vol. I, Springer-Verlag, 1985. Zbl0559.14017MR770932
  2. [2] P. DELIGNE and D. MUMFORD, The Irreducibility of the Space of Curves of Given Genus, (Publ. Math. I.H.E.S., Vol. 36, 1969, pp. 75-110). Zbl0181.48803MR262240
  3. [3] D. EISENBUD and J. HARRIS, A Simpler Proof of the Gieseker-Petri Theorem on Special Divisors (Inv. Math., Vol. 74, 1983, pp. 269-280). Zbl0533.14012MR723217
  4. [4] D. GIESEKER, Stable Curves and Special Divisors : Petri's Conjecture (Inv. Math., Vol. 66, 1982, pp. 251-275). Zbl0522.14015MR656623
  5. [5] J. HARRIS, Theta-characteristics on Algebraic Curves (Trans. A.M.S., Vol. 271, 1982, pp. 611-638). Zbl0513.14025MR654853
  6. [6] G. KEMPF, On the Geometry of a Theorem of Riemann (Annals of Math., Vol. 98, 1973, pp. 178-185). Zbl0275.14023MR349687
  7. [7] D. MUMFORD, Prym varieties I, in : Contributions to Analysis, Academic Press, 1974, pp. 325-350. Zbl0299.14018MR379510
  8. [8] D. MUMFORD, Theta Characteristics of an Algebraic Curve (Ann. scient. Éc. Norm. Sup., Vol. 4, 1971, pp. 181-192). Zbl0216.05904MR292836
  9. [9] A. N. TJURIN, The Geometry of the Poincaré Theta Divisor of a Prym Variery (Math. U.S.S.R. Izv., Vol. 9, 1975, pp. 951-986). Zbl0339.14017

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