Article PDF
Avoid common mistakes on your manuscript.
References
Baily, W. jr.: On the theory of υ-functions, the moduli of abelian varieties, and the moduli of curves, Annals of Math.75, 342–381 (1962).
Cartier, P.: Unitary representations and theta functions. Proc. of 1965 AMS Summer Institute in Boulder, to appear.
Grothendieck, A.: Séminaire de géométrie algébrique. Inst. des Hautes Études Sci. 1960–61 (Mimeographed).
Grothendieck, A.: Séminaire: Schemas en groupes. Inst. des Hautes Études Sci., 1963–64 (Mimeographed).
Grothendieck, A., etJ. Dieudonné: Éléments de la géométrie algébrique. Publ. de l'Inst. des Hautes Études Sci., No 4, 8, 11, ....
Igusa, J.-I.: On the graded ring of theta-constants. Am. J. Math.86, 219–246 (1964);88, 221–236 (1966).
Lang, S.: Abelian varieties. New York: Interscience 1958.
Mackey, G.: On a theorem of Stone and von Neumann. Duke Math. J.16, 313–340 (1949).
Mumford, D.: Geometric invariant theory. Berlin-Heidelberg-New York: Springer 1965.
Mumford, D.: Curves on an algebraic surface (to appear in Annals of Math. Studies).
Siegel, C. Moduln abelscher funktionen. Nachrichten der Akad. Göttingen, 1964.
Weil, A.: Sur certaines groupes d'operateurs unitaire. Acta Math.111, 145–211 (1964).
Author information
Authors and Affiliations
Additional information
This work was partially supported by NSF grant GP 3512 and a grant from the Sloan Foundation.
Rights and permissions
About this article
Cite this article
Mumford, D. On the equations defining abelian varieties. I. Invent Math 1, 287–354 (1966). https://doi.org/10.1007/BF01389737
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01389737