Theta characteristics of an algebraic curve

David Mumford

Annales scientifiques de l'École Normale Supérieure (1971)

  • Volume: 4, Issue: 2, page 181-192
  • ISSN: 0012-9593

How to cite


Mumford, David. "Theta characteristics of an algebraic curve." Annales scientifiques de l'École Normale Supérieure 4.2 (1971): 181-192. <>.

author = {Mumford, David},
journal = {Annales scientifiques de l'École Normale Supérieure},
language = {eng},
number = {2},
pages = {181-192},
publisher = {Elsevier},
title = {Theta characteristics of an algebraic curve},
url = {},
volume = {4},
year = {1971},

AU - Mumford, David
TI - Theta characteristics of an algebraic curve
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1971
PB - Elsevier
VL - 4
IS - 2
SP - 181
EP - 192
LA - eng
UR -
ER -


  1. [B] N. BOURBAKI, Éléments de Mathématiques, Hermann, Paris. Zbl0141.03501
  2. [D-M] P. DELIGNE and D. MUMFORD, Irreducibility of the space of curves, Publ. I. H. E. S., vol. 36, 1969. Zbl0181.48803MR41 #6850
  3. [G] A. GROTHENDIECK, Groupe de Brauer, in Dix Exposés, North Holland, 1968. Zbl0193.21503
  4. [K] KRAZER, Lehrburch der theta-funktionen, Teubner, 1903. 
  5. [L 1] S. LANG, Abelian varieties, Wiley-Interscience, 1959. Zbl0098.13201MR21 #4959
  6. [L 2] S. LANG, On quasi-algebraic closure (Annals of Math., vol. 55, 1952, p. 373). Zbl0046.26202MR13,726d
  7. [M 1] D. MUMFORD, Abelian varieties, Oxford University Press, 1970. Zbl0223.14022MR44 #219
  8. [M 2] D. MUMFORD, On the equations defining abelian varieties (Inv. Math., vol. 1, 1966). Zbl0219.14024MR34 #4269
  9. [R] B. RIEMANN, Collected Works, Dover edition, 1953. 
  10. [S] C. S. SESHADRI, Space of unitary vector bundles on a compact Riemann surface (Annals of Math., vol. 85, 1967). Zbl0173.23001MR38 #1693
  11. [W] A. WEIL, Variétés abéliennes, Hermann, Paris, 1948. Zbl0037.16202
  12. [Wi] WIRTINGER, Untersuchungen über thetafunktionen, Teubner, 1895. JFM26.0514.01

Citations in EuDML Documents

  1. D. S. Nagaraj, On the moduli of curves with theta-characteristics
  2. Michael F. Atiyah, Riemann surfaces and spin structures
  3. Claudio Fontanari, Theta loci and deformation theory
  4. Sadok Kallel, Denis Sjerve, Invariant Spin Structures on Riemann Surfaces
  5. Montserrat Teixidor i Bigas, The divisor of curves with a vanishing theta-null
  6. Ron Donagi, Ron Livné, The arithmetic-geometric mean and isogenies for curves of higher genus
  7. Gerald E. Welters, A theorem of Gieseker-Petri type for Prym varieties
  8. François Ducrot, Fibré déterminant et courbes relatives
  9. William E. Lang, Remarks on p -torsion of algebraic surfaces
  10. Christoph Sorger, La semi-caractéristique d’Euler-Poincaré des faisceaux ω -quadratiques sur un schéma de Cohen-Macaulay

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