57 citations · 223 across the 21 of their papers we have counts for
22 papers
Toric Sarkisov links of toric Fano varieties
Gavin Brown, Jarosław Buczyński, Alexander Kasprzyk
We explain a web of Sarkisov links that overlies the classification of Fano weighted projective spaces in dimensions 3 and 4, extending results of Prokhorov.
Kawamata boundedness for Fano threefolds and the Graded Ring Database
Gavin Brown, Alexander Kasprzyk
We explain an effective Kawamata boundedness result for Mori-Fano 3-folds. In particular, we describe a list of 39,550 possible Hilbert series of semistable Mori-Fano 3-folds, with…
Local Normal Forms of Noncommutative Functions
Gavin Brown, Michael Wemyss
This article describes local normal forms of functions in noncommuting variables, up to equivalence generated by isomorphism of noncommutative Jacobi algebras, extending singularit…
Tutorial on Tom and Jerry: the two smoothings of the anticanonical cone over PP(1,2,3)
Gavin Brown, Miles Reid, Jan Stevens
This is a first introduction to unprojection methods, and more specifically to Tom and Jerry unprojections. These two harmless tricks deserve to be better known, since they answer…
Fano 3-folds in format, Tom and Jerry
Gavin Brown, Alexander Kasprzyk, Muhammad Imran Qureshi
We study Q-factorial terminal Fano 3-folds whose equations are modelled on those of the Segre embedding of P^2 x P^2. These lie in codimension 4 in their total anticanonical embedd…
Hodge numbers and deformations of Fano 3-folds
Gavin Brown, Enrico Fatighenti
We calculate the Hodge numbers of quasismooth Fano 3-folds whose total anti-canonical embedding has small codimension, and relate these to the number of deformations.