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Exceptional loci on abelian varieties

Tangli Ge, Princeton University
Tuesday, April 16, 2024 - 11:00am to 11:50am
PDL C-401

The talk will be about a generalization of the Ueno locus for subvarieties of abelian varieties, the so-called anomalous locus, which naturally appears in the setting of unlikely intersections. In particular, the anomalous locus is known to be Zariski closed by Rémond. I will show that there is a generalized Ueno fibration. In the family setting, I will explain the Zariski closedness of fiber-wise anomalous locus in characteristic 0, and of fiber-wise Ueno locus in arbitrary characteristic.

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