Victoria Cantoral-Farfán

collaborators

3 papers

math.AG2020

Building bridges between Tate conjectures and arithmetic invariants

Victoria Cantoral-Farfan, Seoyoung Kim

In this paper, we clarify and build connections between various conjectures largely motivated by the works of Jean-Pierre Serre and John Tate. We closely study the Tate conjecture…

math.NT2016

The twisting Sato-Tate group of the curve $y^{2} = x^{8} - 14 x^{4} + 1$

Sonny Arora, Victoria Cantoral-Farfán, Aaron Landesman +2

We determine the twisting Sato-Tate group of the genus $3$ hyperelliptic curve $y^{2} = x^{8} - 14 x^{4} + 1$ and show that all possible subgroups of the twisting Sato-Tate group arise…

math.NT2016

Effective bounds for Brauer groups of Kummer surfaces over number fields

Victoria Cantoral-Farfán, Yunqing Tang, Sho Tanimoto +1

We study effective bounds for Brauer groups of Kummer surfaces associated to the Jacobians of curves of genus $2$ defined over number fields.

Building bridges between Tate conjectures and arithmetic invariants

The twisting Sato-Tate group of the curve y2=x8−14x4+1

Effective bounds for Brauer groups of Kummer surfaces over number fields

The twisting Sato-Tate group of the curve $y^{2} = x^{8} - 14 x^{4} + 1$