10 citations · 20 across the 10 of their papers we have counts for
4 papers · 1 filter
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…
Multiplicative bounds for measures of irrationality on complete intersections
Nathan Chen
We show that measures of irrationality on very general codimension two complete intersections and very general complete intersection surfaces are multiplicative in the degrees of t…
Higher index Fano varieties with finitely many birational automorphisms
David Stapleton, Nathan Chen
Determining when the birational automorphism group of a Fano variety is finite is an interesting and difficult problem. The main technique for studying this problem is by the Noeth…
Rational endomorphisms of Fano hypersurfaces
Nathan Chen, David Stapleton
We show that the degrees of rational endomorphisms of very general complex Fano and Calabi-Yau hypersurfaces satisfy certain congruence conditions by specializing to characteristic…