3 citations · 4 across the 5 of their papers we have counts for
6 papers
Moduli of objects in finite length abelian categories
Andres Fernandez Herrero, Emmett Lennen, Svetlana Makarova
We construct moduli spaces of objects in an abelian category satisfying some finiteness hypotheses. Our approach is based on the work of Artin-Zhang and the intrinsic construction…
The minimal projective bundle dimension and toric -Fano manifolds
Carolina Araujo, Roya Beheshti, Ana-Maria Castravet +5
Motivated by the problem of classifying toric -Fano manifolds, we introduce a new invariant for smooth projective toric varieties, the minimal projective bundle dimension. This…
Projectivity and effective global generation of determinantal line bundles on quiver moduli
Pieter Belmans, Chiara Damiolini, Hans Franzen +3
We give a moduli-theoretic treatment of the existence and properties of moduli spaces of semistable quiver representations, avoiding methods from geometric invariant theory. Using…
Higher Fano Manifolds
Carolina Araujo, Roya Beheshti, Ana-Maria Castravet +5
In this paper we address Fano manifolds with positive higher Chern characters. They are expected to enjoy stronger versions of several of the nice properties of Fano manifolds. For…
Strange Duality for elliptic surfaces
Svetlana Makarova
The main result of the present paper is the proof of the Strange Duality for elliptic surfaces -- a duality between global sections of determinantal line bundles on moduli spaces o…
Moduli spaces of stable sheaves over quasi-polarized surfaces, and the relative Strange Duality morphism
Svetlana Makarova
The main result of the present paper is a construction of relative moduli spaces of stable sheaves over the stack of quasipolarized projective surfaces. For this, we use the theory…