Isabel Vogt

collaborators

3 papers

math.AG2019

An enriched count of the bitangents to a smooth plane quartic curve

Hannah Larson, Isabel Vogt

Recent work of Kass--Wickelgren gives an enriched count of the $27$ lines on a smooth cubic surface over arbitrary fields. Their approach using $A^{1}$ -enumerative geometry…

math.NT2017

Constants in Titchmarsh divisor problems for elliptic curves

Renee Bell, Clifford Blakestad, Alina Carmen Cojocaru +5

Inspired by the analogy between the group of units $F_{p}^{\times}$ of the finite field with $p$ elements and the group of points $E (F_{p})$ of an elliptic curve $E/\…

math.AG2017

Abelian varieties isogenous to a power of an elliptic curve over a Galois extension

Isabel Vogt

Given an elliptic curve $E / k$ and a Galois extension $k^{'} / k$ , we construct an exact functor from torsion-free modules over the endomorphism ring $End (E_{k^{'}})$ with a semilinea…