Wiess School of Natural Sciences
Permanent URI for this community
Browse
Browsing Wiess School of Natural Sciences by Subject "Abelian varieties"
Now showing 1 - 1 of 1
Results Per Page
Sort Options
Item Level structures on Abelian varieties, Kodaira dimensions, and Lang's conjecture(Elsevier, 2018) Abramovich, Dan; Várilly-Alvarado, AnthonyAssuming Lang's conjecture, we prove that for a prime p, number field K, and positive integer g, there is an integer r such that no principally polarized abelian variety A/K has full level-pr structure. To this end, we use a result of Zuo to prove that for each closed subvariety X in the moduli space Ag of principally polarized abelian varieties of dimension g, there exists a level mX such that the irreducible components of the preimage of X in Ag[m] are of general type for m>mX.