The Torelli locus and special subvarieties

Published 5 Dec 2011 in math.AG | (1112.0933v1)

Abstract: We study the Torelli locus T_g in the moduli space A_g of abelian varieties. We consider special subvarieties (Shimura subvarieties) contained in the Torelli locus. We review the construction of some non-trivial examples, and we discuss some conjectures, techniques and recent progress.

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