Damián Gvirtz-Chen

activity

20192026

most citedRational curves and the Hilbert Property on Jacobian Kummer varieties

1 citations · 1 across the 7 of their papers we have counts for

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math.AG2019

Mazur's Conjecture and An Unexpected Rational Curve on Kummer Surfaces and their Superelliptic Generalisations

Damián Gvirtz-Chen

We prove the following special case of Mazur's conjecture on the topology of rational points. Let $E$ be an elliptic curve over $Q$ with $j$ -invariant $1728$ . For a class…

math.AG2019

Arithmetic Surjectivity for Zero-Cycles

Damián Gvirtz-Chen

Let $f : X \to Y$ be a proper, dominant morphism of smooth varieties over a number field $k$ . When is it true that for almost all places $v$ of $k$ , the fibre $X_{P}$ over any point $P\…