Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911

   
 
 

 

Some intersection numbers of divisors on toroidal compactifications of $ \mathcal{A}_g$


Authors: C. Erdenberger, S. Grushevsky and K. Hulek
Journal: J. Algebraic Geom. 19 (2010), 99-132
DOI: https://doi.org/10.1090/S1056-3911-09-00512-8
Published electronically: April 21, 2009
MathSciNet review: 2551758
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Abstract | References | Additional Information

Abstract: We study the top intersection numbers of the boundary and Hodge class divisors on toroidal compactifications of the moduli space $ \mathcal{A}_g$ of principally polarized abelian varieties and compute those numbers that live away from the stratum which lies over the closure of $ \mathcal{A}_{g-3}$ in the Satake compactification.


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C. Erdenberger
Affiliation: Institut für Algebraische Geometrie, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany
Email: erdenber@math.uni-hannover.de

S. Grushevsky
Affiliation: Mathematics Department, Princeton University, Fine Hall, Washington Road, Princeton, New Jersey 08544
Email: sam@math.princeton.edu

K. Hulek
Affiliation: Institut für Algebraische Geometrie, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany
Email: hulek@math.uni-hannover.de

DOI: https://doi.org/10.1090/S1056-3911-09-00512-8
Received by editor(s): July 17, 2007
Received by editor(s) in revised form: January 24, 2008
Published electronically: April 21, 2009
Additional Notes: The second author’s research is supported in part by the National Science Foundation under the grant DMS-05-55867. The third author’s research is supported in part by DFG grant Hu 337/5-3.

American Mathematical Society