82 citations · 320 across the 23 of their papers we have counts for
24 papers
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…
Gorenstein in codimension 4 - the general structure theory
Miles Reid
I describe the projective resolution of a codimension 4 Gorenstein ideal, aiming to extend Buchsbaum and Eisenbud's famous result in codimension 3. The main result is a structure t…
Diptych varieties. I
Gavin Brown, Miles Reid
We present a new class of affine Gorenstein 6-folds obtained by smoothing the 1-dimensional singular locus of a reducible affine toric surface; their existence is established using…
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…
Diptych varieties. II: Polar varieties
Gavin Brown, Miles Reid
Part I introduced diptych varieties and gave a rigorous construction of them in the case and . Here we prove the existence of in all the case…
On Q-Fano threefolds of Fano index 2
Yuri Prokhorov, Miles Reid
We show that, for a Q-Fano threefold X of Fano index 2, the inequality dim |-1/2K_X| <= 4 holds with a single well understood family of varieties having dim |-1/2K_X| = 4.