14 citations · 18 across the 9 of their papers we have counts for
7 papers · 1 filter
Indecomposable Matrices Defining Plane Cubics
Anita Buckley
In this article we find all (decomposable and indecomposable) linear determinantal representations of smooth Weierstrass cubics. As a corollary we verify the Kippenhahn…
Ice cream and orbifold Riemann-Roch
Anita Buckley, Miles Reid, Shengtian Zhou
We give an orbifold Riemann-Roch formula in closed form for the Hilbert series of a quasismooth polarized n-fold X,D, under the assumption that X is projectively Gorenstein with on…
Elementary Transformations of Pfaffian Representations of Plane Curves
Anita Buckley
Let be a smooth curve in $\PP^2$ given by an equation F=0 of degree . In this paper we consider elementary transformations of linear pfaffian representations of . Element…
Plane curves as Pfaffians
Anita Buckley, Tomaz Kosir
Let be a smooth curve in $\PP^2$ given by an equation F=0 of degree . In this paper we parametrise all linear pfaffian representations of by an open subset in the moduli…
Determinantal representations of smooth cubic surfaces
Anita Buckley, Tomaž Košir
For every smooth (irreducible) cubic surface we give an explicit construction of a representative for each of the 72 equivalence classes of determinantal representations. Equiv…
Orbifold Riemann-Roch for threefolds with an application to Calabi-Yau geometry
Anita Buckley, Balázs Szendrői
We prove an orbifold Riemann--Roch formula for a polarized 3--fold (X,D). As an application, we construct new families of projective Calabi--Yau threefolds.