6 citations · 24 across the 12 of their papers we have counts for
20 papers
Root stack valuative criterion for good moduli spaces
Dori Bejleri, Giovanni Inchiostro, Matthew Satriano
We prove a root stack valuative criterion for good moduli space maps and for gerbes for reductive groups under some mild assumptions on the residue characteristic. We give several…
Proper splittings and projectivity for good moduli spaces
Dori Bejleri, Elden Elmanto, Matthew Satriano
We show that any good moduli space has a splitting after a proper, generically finite covering of . As an application we generalize Kollár's ampleness lem…
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…
Symmetric powers of null motivic Euler characteristic
Dori Bejleri, Stephen McKean
Let k be a field of characteristic not 2. We conjecture that if X is a quasi-projective k-variety with trivial motivic Euler characteristic, then SymX has trivial motivic Euler…
Moduli of boundary polarized Calabi-Yau pairs
Kenneth Ascher, Dori Bejleri, Harold Blum +4
We develop the moduli theory of boundary polarized CY pairs, which are slc Calabi-Yau pairs such that is ample. The motivation for studying this moduli problem is to co…
Height moduli on cyclotomic stacks and counting elliptic curves over function fields
Dori Bejleri, Jun-Yong Park, Matthew Satriano
For proper stacks, unlike schemes, there is a distinction between rational and integral points. Moreover, rational points have extra automorphism groups. We show that these distinc…
Wall crossing for moduli of stable log pairs
Kenneth Ascher, Dori Bejleri, Giovanni Inchiostro +1
We prove, under suitable conditions, that there exist wall-crossing and reduction morphisms for moduli spaces of stable log pairs in all dimensions as one varies the coefficients o…
Smoothability of relative stable maps to stacky curves
Kenneth Ascher, Dori Bejleri
Using log geometry, we study smoothability of genus zero twisted stable maps to stacky curves relative to a collection of marked points. One application is to smoothing semi-log ca…
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…
Compact moduli of elliptic K3 surfaces
Kenneth Ascher, Dori Bejleri
We construct various modular compactifications of the space of elliptic K3 surfaces using tools from the minimal model program, and explicitly describe the surfaces parametrized by…
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…
Motivic Hilbert zeta functions of curves are rational
Dori Bejleri, Dhruv Ranganathan, Ravi Vakil
The motivic Hilbert zeta function of a variety is the generating function for classes in the Grothendieck ring of varieties of Hilbert schemes of points of the variety. In this pap…
Moduli of weighted stable elliptic surfaces and invariance of log plurigenera
Kenneth Ascher, Dori Bejleri, Giovanni Inchiostro
This is the third paper in a series of work on weighted stable elliptic surfaces - elliptic fibrations with section and marked fibers weighted between zero and one. Motivated by Ha…
Moduli of fibered surface pairs from twisted stable maps
Kenneth Ascher, Dori Bejleri
We use the theory of twisted stable maps to Deligne-Mumford stacks to construct compactifications of the moduli space of pairs where is a fibered surfa…
Log canonical models of elliptic surfaces
Kenneth Ascher, Dori Bejleri
We give a classification of the log canonical models of elliptic surface pairs consisting of an elliptic fibration, a section, and a weighted sum of marked fibers. In particular, w…
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…
The Topology of Equivariant Hilbert Schemes
Dori Bejleri, Gjergji Zaimi
For a finite group acting linearly on , the equivariant Hilbert scheme is a natural resolution of singularities of $\opera…
Quantum field theory over F1
Dori Bejleri, Matilde Marcolli
In this paper we discuss some questions about geometry over the field with one element, motivated by the properties of algebraic varieties that arise in perturbative quantum field…