2 citations · 3 across the 6 of their papers we have counts for
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Measures of association between algebraic varieties, II: self-correspondences
Robert Lazarsfeld, Olivier Martin
Following a suggestion of Jordan Ellenberg, we study measures of complexity for self-correspondences of some classes of varieties. We also answer a question of Rhyd concerning curv…
Effective zero-cycles and the Bloch-Beilinson filtration
Olivier Martin, Charles Vial
A conjecture of Voisin states that two points on a smooth projective complex variety whose algebra of holomorphic forms is generated in degree 2 are rationally equivalent to each o…
Rational maps from products of curves to surfaces with
Nathan Chen, Olivier Martin
We study dominant rational maps from a product of two curves to surfaces with . Given two curves which satisfy a mild genericity assumption and have large genus rela…
The degree of irrationality of most abelian surfaces is 4
Olivier Martin
The degree of irrationality of a smooth projective variety is the minimal degree of a dominant rational map . We show that if an abelian s…
Degree of irrationality of a very general abelian variety
Elisabetta Colombo, Olivier Martin, Juan Carlos Naranjo +1
Consider a very general abelian variety of dimension at least and an integer . We show that if the map has a -dimensional fiber then $k\…
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 at…