Olivier Martin

activity

20192023

most citedMeasures of association between algebraic varieties, II: self-correspondences

2 citations · 3 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.AG2019★ 1 cited

The degree of irrationality of most abelian surfaces is 4

Olivier Martin

The degree of irrationality of a smooth projective variety $X$ is the minimal degree of a dominant rational map $X ⇢ P^{d i m X}$ . We show that if an abelian s…

math.AG2019

Degree of irrationality of a very general abelian variety

Elisabetta Colombo, Olivier Martin, Juan Carlos Naranjo +1

Consider a very general abelian variety $A$ of dimension at least $3$ and an integer $0 < d \leq dim A$ . We show that if the map $A^{k} \to C H_{0} (A)$ has a $d$ -dimensional fiber then $k\…

math.AG2019

On a conjecture of Voisin on the gonality of very general abelian varieties

Olivier Martin

We study orbits for rational equivalence of zero-cycles on very general abelian varieties by adapting a method of Voisin to powers of abelian varieties. We deduce that, for $k$ at…