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.
Displaying 21 – 40 of 813
A Kummer criterion for imaginary quadratic fields
Rodney I. Yager (1982)
Compositio Mathematica
A Lefschetz decomposition for Chow motives of abelian schemes.
Klaus Künnemann (1993)
Inventiones mathematicae
A local-global principle for rational isogenies of prime degree
Andrew V. Sutherland (2012)
Journal de Théorie des Nombres de Bordeaux
Let be a number field. We consider a local-global principle for elliptic curves that admit (or do not admit) a rational isogeny of prime degree . For suitable (including ), we prove that this principle holds for all , and for , but find a counterexample when for an elliptic curve with -invariant . For we show that, up to isomorphism, this is the only counterexample.
A memoir on the double ...-functions.
A. Cayley (1878)
Journal für die reine und angewandte Mathematik
A New Compactification of the Siegel Space and Degeneration of Abelian Varieties. I.
Yukihiko Namikawa (1976)
Mathematische Annalen
A New Compactification of the Siegel Space and Degeneration of Abelian Varieties. II.
Yukihiko Namikawa (1976)
Mathematische Annalen
A new construction of -adic -functions attached to certain elliptic curves with complex multiplication
John L. Boxall (1986)
Annales de l'institut Fourier
In this paper we apply the results of our previous article on the -adic interpolation of logarithmic derivatives of formal groups to the construction of -adic -functions attached to certain elliptic curves with complex multiplication. Our results are primarily concerned with curves with supersingular reduction.
A note on a theorem of Griffiths on the Abel-Jacobi map.
T. Shioda (1985)
Inventiones mathematicae
A Note on height pairings on polarized abelian varieties
Valerio Talamanca (1999)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Let be an abelian variety defined over a number field . In this short Note we give a characterization of the endomorphisms that preserve the height pairing associated to a polarization. We also give a functorial interpretation of this result.
A Note on Height Pairings, Tamagawa Numbers, and the Birch and Swinnerton-Dyer Conjecture.
S. Bloch (1980)
Inventiones mathematicae
A note on minimal Galois embeddings of abelian surfaces
Hisao Yoshihara (2011)
Rendiconti del Seminario Matematico della Università di Padova
A propos de l' espace des modules de fibrés de rang 2 sur une courbe.
Yves Laszlo (1994)
Mathematische Annalen
A remark on the Picard group of spin moduli space
Maurizio Cornalba (1991)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
We describe a number of classes in the Picard group of spin moduli space and determine the relations they satisfy; as an application we show that the Picard group in question contains 4-torsion elements.
A result on the integral chow ring of a generic principally polarized complex abelian variety of dimension four
Charles Barton, C. H. Clemens (1977)
Compositio Mathematica
A Riemann-Hurwitz formula for the Selmer group of an elliptic curve with complex multiplication.
Kay Wingberg (1988)
Commentarii mathematici Helvetici
A series of smooth irregular varieties in projective space
Ciro Ciliberto, Klaus Hulek (1999)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
A Siegel modular 3-fold that is a Picard modular 3-fold
Bruce Hunt (1990)
Compositio Mathematica
A special case of the Garnier system, -polarized abelian surfaces and their moduli
Pol Vanhaecke (1994)
Compositio Mathematica
A theorem of Gieseker-Petri type for Prym varieties
Gerald E. Welters (1985)
Annales scientifiques de l'École Normale Supérieure