5 papers
On the classification of toric -Fano manifolds: generic -bundles
Carolina Araujo, Roya Beheshti, Ana-Maria Castravet +4
In this paper, we advance the classification of toric 2-Fano manifolds by continuing the investigation of the minimal projective bundle dimension int…
Moduli of non-pure sheaves and contractions of Hilbert schemes
Andres Fernandez Herrero, Svetlana Makarova
We define certain stacks of rank one sheaves on a smooth projective variety, and show that they admit proper good moduli spaces. We offer several applications to contractions of su…
Full Exceptional Sequence for a Fine Quiver Moduli Space
Svetlana Makarova, Junyu Meng
We consider the fine quiver moduli space of representations of the 3-Kronecker quiver of dimension vector , which is a blow down of the Hilbert scheme of 3 points on $\mathd…
Projectivity of good moduli spaces of vector bundles on stacky curves
Chiara Damiolini, Victoria Hoskins, Svetlana Makarova +1
Moduli of vector bundles on stacky curves behave similarly to moduli of vector bundles on curves, except there are additional numerical invariants giving many different notions of…
Moduli of elliptic surfaces of Kodaira dimension one fibered over rational curves
Dori Bejleri, Josiah Foster, Andres Fernandez Herrero +3
In this article, we construct an infinite sequence of irreducible components of Kollár--Shepherd-Barron (KSB-) moduli spaces of surfaces of arbitrarily large volumes, and describe…