3 papers
math.AG2026
Generalised Cone Conjecture, II: Generic Sakai surfaces
Vladimir Lazić, Isabel Stenger, Zhixin Xie
In this paper we prove that the Generalised Cone Conjecture holds for generic Sakai surfaces, which completes the proof of the Generalised Cone Conjecture in dimension two. Further…
math.AG2026
Generalised Cone Conjecture, I: Beyond Calabi--Yau
Vladimir Lazić, Isabel Stenger, Zhixin Xie
This is the first of two papers in which we prove the Generalised Cone Conjecture on surfaces.
math.AG2021
Anticanonical geometry of the blow-up of in points and its Fano model
Zhixin Xie
Building on the work of Casagrande-Codogni-Fanelli, we develop our study on the birational geometry of the Fano fourfold which is the moduli space of semi-stable ran…