6 citations · 8 across the 4 of their papers we have counts for
4 papers
On the degree of irrationality of complete intersections
Lucas Braune, Taro Yoshino
We obtain a lower bound of the degree of irrationality of very general complete intersections over the complex field from the recent results of the first author and Chen--Stapleton…
Critical loci and second-order singularities in arbitrary characteristic
Lucas Braune
The critical loci of a map between smooth schemes over a field are the locally closed subschemes where the differential of has constant rank.…
Irrational Complete Intersections
Lucas Braune
We prove that a complete intersection of very general hypersurfaces of degree at least two in -dimensional complex projective space is not ruled (and therefore not rational)…
The Erdős-Ulam problem, Lang's conjecture, and uniformity
Kenneth Ascher, Lucas Braune, Amos Turchet
A rational distance set is a subset of the plane such that the distance between any two points is a rational number. We show, assuming Lang's Conjecture, that the cardinalities of…