Polarized abelian varieties and the heat equations

Gerald E. Welters

Compositio Mathematica (1983)

  • Volume: 49, Issue: 2, page 173-194
  • ISSN: 0010-437X

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Welters, Gerald E.. "Polarized abelian varieties and the heat equations." Compositio Mathematica 49.2 (1983): 173-194. <http://eudml.org/doc/89609>.

@article{Welters1983,
author = {Welters, Gerald E.},
journal = {Compositio Mathematica},
keywords = {Schottky problem; coarse moduli scheme; Jacobian; principally polarized abelian varieties; theta divisors; effective divisor; heat equations},
language = {eng},
number = {2},
pages = {173-194},
publisher = {Martinus Nijhoff Publishers},
title = {Polarized abelian varieties and the heat equations},
url = {http://eudml.org/doc/89609},
volume = {49},
year = {1983},
}

TY - JOUR
AU - Welters, Gerald E.
TI - Polarized abelian varieties and the heat equations
JO - Compositio Mathematica
PY - 1983
PB - Martinus Nijhoff Publishers
VL - 49
IS - 2
SP - 173
EP - 194
LA - eng
KW - Schottky problem; coarse moduli scheme; Jacobian; principally polarized abelian varieties; theta divisors; effective divisor; heat equations
UR - http://eudml.org/doc/89609
ER -

References

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  1. [1] A. Andreotti and A.L. Mayer: On period relations for abelian integrals on algebraic curves. Ann. Sc. Norm. Pisa, Ser. 3, 21 (1967) 189-238. Zbl0222.14024MR220740
  2. [2] P. Deligne and D. Mumford: The irreducibility of the space of curves of given genus. Publ. Math. IHES36 (1969) 75-109. Zbl0181.48803MR262240
  3. [3] A. Grothendieck: EGA IV, 4ème Partie, Publ. Math. IHES32 (1967). Zbl0153.22301
  4. [4] A. Grothendieck: Géométrie formelle et géométrie algébrique, Sém Bourbaki182 (1959). Zbl0229.14005
  5. [5] G. Kempf: On the geometry of a theorem of Riemann. Ann. of Math. 98 (1973) 178-185. Zbl0275.14023MR349687
  6. [6] K. Kodaira and D.C. Spencer: On deformations of complex analytic structures, I, II. Ann. of Math. 67 (1958) 328-466; III, Ann. of Math.71 (1960) 43-76. Zbl0128.16902MR112154
  7. [7] G. Maltsiniotis: Le théorème de Brill-Noether (d'après P. Griffiths, J. Harris, G. Kempf, S. Kleiman et D. Laksov). Sém Bourbaki571 (1981). Zbl0497.14011
  8. [8] D. Mumford: Abelian varieties, Tata Inst. of Fundamental Research, Bombay, Oxford University Press, London, 1974. Zbl0223.14022MR282985
  9. [9] D. Mumford: Geometric invariant theory. Ergebnisse der Mathematik34, Springer-Verlag, Berlin, 1965. Zbl0147.39304MR214602
  10. [10] D. Mumford: On the equations defining abelian varieties I. Inv. Math. 1 (1966) 287-354; II, Inv. Math.3 (1967) 75-135; III, ibid. 215-244. Zbl0219.14024MR204427
  11. [11] F. Oort: Finite group schemes, local moduli for abelian varieties and lifting problems. In: Algebraic Geometry, Oslo 1970, Wolters-Noordhoff, Groningen, 1972. Zbl0239.14018
  12. [12] F. Oort and J. Steenbrink: The local Torelli problem for algebraic curves, in: Algebraic Geometry, Angers1979, pp. 157-204, Sijthoff & Noordhoff, Alphen aan den Rijn, 1980. Zbl0444.14007MR605341

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