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20162026
most citedPicard ranks of K3 surfaces over function fields and the Hecke orbit conjecture

14 citations · 67 across the 20 of their papers we have counts for

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math.NT2018

Reductions of abelian surfaces over global function fields

Davesh Maulik, Ananth N. Shankar, Yunqing Tang

Let be a non-isotrivial ordinary abelian surface over a global function field with good reduction everywhere. Suppose that does not have real multiplication by any real qua…

math.NT2018

The rank two -curvature conjecture on generic curves

Anand Patel, Ananth N. Shankar, Junho Peter Whang

We prove the -curvature conjecture for rank two vector bundles with connection on generic curves, by combining deformation techniques for families of varieties and topological a…