1 citations · 1 across the 5 of their papers we have counts for
10 papers
Generalised Cone Conjecture, III: Non-generic Sakai surfaces
Vladimir Lazić, Isabel Stenger, Zhixin Xie
We show that no meaningful version of the Cone Conjecture holds for non-generic Sakai surfaces.
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…
Cones of divisors on blown up at eight very general points
Isabel Stenger, Zhixin Xie
Let be the blowup of at eight very general points. We give a complete description of its nef and effective cones. Moreover, we show that there exists a rational…
Movable cones of complete intersections of multidegree one on products of projective spaces
Michael Hoff, Isabel Stenger, José Ignacio Yáñez
We study Calabi-Yau manifolds which are complete intersections of hypersurfaces of multidegree in an -fold product of -dimensional projective spaces. Using the theory of…
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…
On the numerical dimension of Calabi-Yau 3-folds of Picard number 2
Michael Hoff, Isabel Stenger
We show that for any smooth Calabi-Yau threefold of Picard number with infinite birational automorphism group, the numerical dimension of the extremal rays of the mov…
An 8-dimensional family of simply connected Godeaux surfaces
Frank-Olaf Schreyer, Isabel Stenger
In this paper we describe a construction method for numerical Godeaux surfaces based on homological algebra. We show the existence of an 8-dimensional locally complete family of si…
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…