4 papers
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.
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…
A structure result for Gorenstein algebras of odd codimension
Isabel Stenger
The famous structure theorem of Buchsbaum and Eisenbud gives a complete characterization of Gorenstein ideals of codimension 3 and their minimal free resolutions. We generalize the…