18 citations · 18 across the 4 of their papers we have counts for
4 papers
Fano 3-folds of index 2
Gavin Brown, Kaori Suzuki
We study Fano 3-folds with Fano index 2: that is, 3-folds X with rank Pic(X) = 1, Q-factorial terminal singularities and -K_X = 2A for an ample Weil divisor A. We give a first clas…
Computing Fano 3-folds of index >=3
Gavin Brown, Kaori Suzuki
We use the computer algebra system Magma to study graded rings of Fano 3-folds of index >=3 in terms of their Hilbert series.
On Fano indicies of Q-Fano 3-folds
Kaori Suzuki
This paper considers Q-Fano 3-folds X with ρ=1. The aim is to determine the maximal Fano index f of X. We prove that f<= 19, and that in case of equality, the Hilbert series of X e…
On Morrison's cone conjecture for klt sufaces with
Kaori Suzuki
This paper considers normal projective complex surface X with at worst Kawamata log terminal singularities and K_X is numerically trivial. The aim is to prove that there is a finit…