5 papers
Moduli of double covers and degree one del Pezzo surfaces
Kenneth Ascher, Dori Bejleri
Given a degree one del Pezzo surface with canonical singularities, the linear series generated by twice the anti-canonical divisor exhibits the surface as the double cover of the q…
Stable pairs with a twist and gluing morphisms for moduli of surfaces
Dori Bejleri, Giovanni Inchiostro
We propose an alternative definition for families of stable pairs over a possibly non-reduced base when is reduced, by replacing with an appropriate orbifold pa…
Stable pair compactifications of the moduli space of degree one del pezzo surfaces via elliptic fibrations
Kenneth Ascher, Dori Bejleri
A degree one del Pezzo surface is the blowup of P^2 at 8 general points. By the classical Cayley-Bacharach Theorem, there is a unique 9th point whose blowup produces a rational ell…
The SYZ conjecture via homological mirror symmetry
Dori Bejleri
These are expository notes based on a talk given at the Superschool on derived categories and D-branes at University of Alberta in July of 2016. The goal of these notes is to give…
The tangent space of the punctual Hilbert scheme
Dori Bejleri, David Stapleton
The purpose of this paper is to study the Zariski tangent space of the punctual Hilbert scheme parametrizing subschemes of a smooth surface which are supported at a single point. W…