4 papers · 1 filter
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…
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.
The effective cone conjecture for Calabi--Yau pairs
Cécile Gachet, Hsueh-Yung Lin, Isabel Stenger +1
We formulate an effective cone conjecture for klt Calabi--Yau pairs , pertaining to the structure of the cone of effective divisors modulo the action of th…
Marked Godeaux surfaces with special bicanonical fibers
Frank-Olaf Schreyer, Isabel Stenger
In this paper we study marked numerical Godeaux surfaces with special bicanonical fibers. Based on our construction method of marked Godeaux surfaces we give a complete characteriz…