Open surfaces of small volume
Valery Anatol'evich Alexeev · Algebraic geometry · 2019
We construct a surface with log terminal singularities and ample canonical class that has K 2 X = 1/48983 and a log canonical surface pair (X, B) with a nonempty reduced divisor B and ample K X + B that has (K X + B) 2 = 1/462.Both examples significantly improve known records.