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math.AG2023
A database of basic numerical invariants of Hilbert modular surfaces
Eran Assaf, Angelica Babei, Ben Breen +8
We describe algorithms for computing geometric invariants for Hilbert modular surfaces, and we report on their implementation.
math.AG2020★ 4 cited
Effective obstruction to lifting Tate classes from positive characteristic
Edgar Costa, Emre Can Sertöz
We give an algorithm that takes a smooth hypersurface over a number field and computes a -adic approximation of the obstruction map on the Tate classes of a finite reduction. Th…
math.AG2016
On the distribution of the Picard ranks of the reductions of a surface
Edgar Costa, Andreas-Stephan Elsenhans, Jörg Jahnel
We report on our results concerning the distribution of the geometric Picard ranks of surfaces under reduction modulo various primes. In the situation that $\rk \Pic S_{\overl…