A finiteness theorem for unpolarized Abelian varieties over number fields with prescribed places of bad reduction.
A footnote to the Poincaré complete reducibility theorem.
Poincaré's work on the reduction of Abelian integrals contains implicitly an algorithm for the expression of a theta function as a sum of products of theta functions of fewer variables in the presence of reduction. The aim of this paper is to give explicit formulations and reasonably complete proofs of Poincaré's results.
A homological criterion for reducibility of analytic spaces, with application to characterizing the theta divisor of a product of two general principally polarized abelian varieties.
A New Compactification of the Siegel Space and Degeneration of Abelian Varieties. I.
A New Compactification of the Siegel Space and Degeneration of Abelian Varieties. II.
An analytic construction of degenerating abelian varieties over complete rings
An explicit formula for period determinant
We consider a generic complex polynomial in two variables and a basis in the first homology group of a nonsingular level curve. We take an arbitrary tuple of homogeneous polynomial 1-forms of appropriate degrees so that their integrals over the basic cycles form a square matrix (of multivalued analytic functions of the level value). We give an explicit formula for the determinant of this matrix.
Biextensions alternées
Classification des variétés de dimension 3 et plus
Commutative rings of differential operators corresponding to multidimensional algebraic varieties.
Complex Subspaces of Homogeneous Complex Manifolds. I. Submanifolds of Abelian Varieties.
Concavity Theorems.
Congruences entre séries d'Eisenstein, dans le cas supersingulier.
Construction analytique (rigide) de variétés abéliennes
Cycles de Hodge absolus et périodes des intégrales des variétés abéliennes. (Rédigé par J. L. Brylinski)
De Abelianarum functionum periodis per aequationes differentiales definiendis [Book]
Division points on semi-abelian varieties.
Endomorphism algebras of complex tori.
Entwickelung eines Zusammenhanges zwischen den quadratischen Formen von n Differentialen und den Abelschen Transcendenten.
Entwicklung von Formeln zum Abelschen Theorme.