Access the full text.
Sign up today, get DeepDyve free for 14 days.
O. Debarre (1992)
Le lieu des variétés abéliennes dont le diviseur theta est singulier a deux composantesAnn. Scient. Éc. Norm. Sup., 25
C. Soulé, D. Abramovich, J.-F. Burnol, J. Kramer (1992)
Cambridge Studies in Advanced Mathematics33
S. Helgason (1978)
Differential Geometry, Lie Groups, and Symmetric Spaces
D. Mumford (1977)
Hirzebruch's proportionality theorem in the non-compact caseInventiones mathematicae, 42
A. BOREL (1974)
Stable real cohomology of arithmetic groupsAnn. Scient. Éc. Norm. Sup., 7
A. BOREL (1981)
Stable real cohomology of arithmetic groups IIProgress in Math., 14
D. Mumford (1983)
On the Kodaira dimension of the Siegel modular variety
O. Debarre (1992)
Le lieu des variétés abéliennes dont le diviseur thêta est singulier a deux composantesAnnales Scientifiques De L Ecole Normale Superieure, 25
C. Ciliberto, G. Geer (1999)
The Moduli Space of Abelian Varieties and the Singularities of the Theta DivisorSurveys in differential geometry, 7
H. Gillet, C. Soulé (1990)
Characteristic classes for algebraic vector bundles with hermitian metric. IAnnals of Mathematics, 131
C. Soulé, D. Abramovich, J. Burnol, J. Kramer (1992)
Lectures on Arakelov Geometry
J. Jorgenson, J. Kramer (1998)
Towards the arithmetic degree of line bundles¶ on abelian varietiesmanuscripta mathematica, 96
J. Jorgenson, J. Kramer (2001)
Star products of Green's currents and automorphic formsDuke Mathematical Journal, 106
J. Bost, H. Gillet, C. Soulé (1994)
Heights of projective varieties and positive Green formsJournal of the American Mathematical Society, 7
K. Yoshikawa (1999)
Discriminant of theta divisors and Quillen metricsJournal of Differential Geometry, 52
J. Bismut, G. Lebeau (1991)
Complex immersions and Quillen metricsPublications Mathématiques de l'Institut des Hautes Études Scientifiques, 74
A. Borel (1974)
Stable real cohomology of arithmetic groupsAnnales Scientifiques De L Ecole Normale Superieure, 7
Abh. Math. Sem. Univ. Hamburg 72 (2002), 47-57 By J. KRAMER and R. SALVATI MANNI 1 Introduction 1.1 Let A denote the moduli space of n-dimensional, principally polarized, abelian varieties and p 9 A --> & the corresponding universal abelian variety. Let | _ A, and pt : | _+ & denote the universal theta divisor. For r ~ &, denote by At, resp. | the fiber of p, resp. p', over r. Let | _C | be the locus on | defined by the union of the singular points of | This can be considered as a subscheme of | or A depending on the situation. We set G ~ := | \ | The Andreotti-Mayer locus is then defined by N0 := {r c I Or singular}. It can be shown that No is a divisor of &, which has at most two components, and that the equality N0 = P*| holds (cf. [6], [12]). By D. MUMFORD [12], we know that there exists a Siegel modular form Fn of weight k = n!(n + 3)/2 with respect to SPn (Z) (and some character X) satisfying div(Fn) = ~;0. 1.2 In the above cited paper Mumford
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg – Springer Journals
Published: Aug 28, 2008
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.