13 citations · 22 across the 10 of their papers we have counts for
13 papers · 1 filter
The fibering genus of Fano hypersurfaces
Nathan Chen, Benjamin Church, Lena Ji +1
Kollár proved that a very general -dimensional complex hypersurface of degree at least is not birational to a fibration in rational curves. This is most…
The minimal fibering degree of a toric variety equals the lattice width of its polytope
Audric Lebovitz, David Stapleton
The purpose of this paper is to compute the minimal fibering degree of an arbitrary projective toric variety. We prove that it equals the lattice width of the associated polytope.…
Minimal degree fibrations in curves and the asymptotic degree of irrationality of divisors
Jake Levinson, David Stapleton, Brooke Ullery
In this paper we study the degrees of irrationality of hypersurfaces of large degree in a complex projective variety. We show that the maps computing the degrees of irrationality o…
Smooth limits of plane curves of prime degree and Markov numbers
Kristin DeVleming, David Stapleton
For prime degree hypersurfaces of dimension at least 3, Mori asked if every smooth proper limit is still a hypersurface. Interestingly in dimensions 1 and 2, this is not the case.…
Fano hypersurfaces with no finite order birational automorphisms
Nathan Chen, Lena Ji, David Stapleton
We use the specialization homomorphism for the birational automorphism group to study finite order birational automorphisms. For a family of varieties over a DVR, we prove that a b…
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…