Bi-extensions associated to divisors on abelian varieties and theta functions

Maurizio Candilera; Valentino Cristante

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1983)

  • Volume: 10, Issue: 3, page 437-491
  • ISSN: 0391-173X

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Candilera, Maurizio, and Cristante, Valentino. "Bi-extensions associated to divisors on abelian varieties and theta functions." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 10.3 (1983): 437-491. <http://eudml.org/doc/83913>.

@article{Candilera1983,
author = {Candilera, Maurizio, Cristante, Valentino},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {algebraic theory of theta functions; characteristic p; abelian variety; Barsotti-Tate group; Tate space},
language = {eng},
number = {3},
pages = {437-491},
publisher = {Scuola normale superiore},
title = {Bi-extensions associated to divisors on abelian varieties and theta functions},
url = {http://eudml.org/doc/83913},
volume = {10},
year = {1983},
}

TY - JOUR
AU - Candilera, Maurizio
AU - Cristante, Valentino
TI - Bi-extensions associated to divisors on abelian varieties and theta functions
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1983
PB - Scuola normale superiore
VL - 10
IS - 3
SP - 437
EP - 491
LA - eng
KW - algebraic theory of theta functions; characteristic p; abelian variety; Barsotti-Tate group; Tate space
UR - http://eudml.org/doc/83913
ER -

References

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  1. [MA] I. Barsotti, Metodi analitici per varietà abeliane in caratteristica positiva, Capitoli 1, 2; Capitoli 3, 4; Capitolo 5; Capitolo 6; Capitolo 7, Ann. Scuola Norm. Sup. Pisa, 18 (1964), pp. 1-25; 19 (1965), pp. 277-330; 19 (1965), pp. 481-512; 20 (1966), pp. 101-137; 20 (1966), pp. 331-365. 
  2. [1] I. Barsotti, Considerazioni sulle funzioni theta, Symp. Math., 3 (1970), pp. 247-277. Zbl0194.52201MR302655
  3. [2] I. Barsotti, Theta functions in positive characteristic, Astérisque, 63 (1979), pp. 5-16. Zbl0423.14026MR563457
  4. [3] L. Breen, Fonctions theta et théorème du cube, Lectures Notes in Mathematics, 980 (1983), Berlin, Heidelberg, New York, Tokyo. Zbl0558.14029MR823233
  5. [4] M. Candilera, Funzione theta in caratteristica positiva, Tesi di Laurea, Università di Padova (1979-80). 
  6. [5] V. Cristante, Classi differenziali e forma di Riemann, Ann. Scuola Norm. Sup. Pisa, IV (1977), pp. 1-12. Zbl0344.14010MR476766
  7. [6] V. Cristante, Theta functions and Barsotti-Tate groups, Ann. Scuola Norm. Sup. Pisa, VII (1980), pp. 181-215. Zbl0438.14027MR581141
  8. [7] G. Gerotto, Alcuni elementi di teoria degli ipercorpi, Ann. Mat. Pura Appl., 115 (1976), pp. 349-379. Zbl0385.14013MR476768
  9. [8] A. Grothendieck et al., Groupes de monodromie en géométrie algébrique. (SGA 7,I), Lecture notes in Mathematics288, Springer (1972). Zbl0237.00013MR354656
  10. [9] D. Mumford, Abelian varieties, Oxford Univ. Press, London (1974). Zbl0326.14012MR282985
  11. [10] D. Mumford, Bi-extensions of formal groups, in Algebraic geometry, Tata Inst. F. R. Stud. in Math. n. 4, Oxford Univ. Press (1969), pp. 307-322. Zbl0216.33101MR257089
  12. [11] D. Mumford, On the equations defining abelian varieties, I, II, III, Invent. Math., 1 (1966), pp. 287-354; 3 (1967), pp. 75-135; 3 (1967), pp. 215-244. Zbl0219.14024MR204427

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