3 papers
math.AG2019
Birational self-maps of threefolds of (un)-bounded genus or gonality
Jérémy Blanc, Ivan Cheltsov, Alexander Duncan +1
We study the complexity of birational self-maps of a projective threefold by looking at the birational type of surfaces contracted. These surfaces are birational to the product…
math.AG2018
Derived categories of centrally-symmetric smooth toric Fano varieties
Matthew R Ballard, Alexander Duncan, Patrick K. McFaddin
We exhibit full exceptional collections of vector bundles on any smooth, Fano arithmetic toric variety whose split fan is centrally symmetric.
math.AG2018
Finite quasisimple groups acting on rationally connected threefolds
Jérémy Blanc, Ivan Cheltsov, Alexander Duncan +1
We show that the only finite quasi-simple non-abelian groups that can faithfully act on rationally connected threefolds are the following groups: , $\operatorname{P…