5 citations · 7 across the 5 of their papers we have counts for
6 papers
The minimal model program for b-log canonical divisors and applications
Daniel Chan, Kenneth Chan, Louis de Thanhoffer de Völcsey +8
We discuss the minimal model program for b-log varieties, which is a pair of a variety and a b-divisor, as a natural generalization of the minimal model program for ordinary log va…
Moduli stacks of Serre stable representations in tilting theory
Daniel Chan, Boris Lerner
We introduce a new moduli stack, called the Serre stable moduli stack, which corresponds to studying families of point objects in an abelian category with a Serre functor. This all…
A recollement approach to Geigle-Lenzing weighted projective varieties
Boris Lerner, Steffen Oppermann
We introduce a new method for expanding an abelian category and study it using recollements. In particular, we give a criterion for the existence of cotilting objects. We show, usi…
Tilting bundles on orders on
Osamu Iyama, Boris Lerner
We introduce a class of orders on called Geigle-Lenzing orders and show that they have tilting bundles. Moreover we show that their module categories are equivalent to the ca…
Line Bundles and Curves on a del Pezzo Order
Boris Lerner
Orders on surfaces provide a rich source of examples of noncommutative surfaces. Other than some existence results, very little is known about the various moduli spaces that can be…
Generalising Bogomolov's Inequality to Unstable Sheaves
Boris Lerner
We generalise Bogomolov's inequality to all coherent torsion-free sheaves on a smooth projective surface.