38 citations · 97 across the 14 of their papers we have counts for
14 papers
Optimal bounds on surfaces
Jihao Liu, V. V. Shokurov
We prove that the first gap of -complementary thresholds of surfaces is . More precisely, the largest -complementary threshold for surfaces that…
Log adjunction: moduli part
V. V. Shokurov
Upper moduli part of adjunction is introduced and its basic property are discussed. The moduli part satisfies the BP in the case of rational multiplicities and is nef in the maxima…
Positivity of the Moduli Part
Florin Ambro, Paolo Cascini, Vyacheslav Shokurov +1
We prove the Cone Theorem for algebraically integrable foliations. As a consequence, we show that termination of flips implies the b-nefness of the moduli part of a log canonical p…
Existence and boundedness of -complements
V. V. Shokurov
Theory of -complements with applications is presented.
ACC for minimal log discrepancies of exceptional singularities
Jingjun Han, Jihao Liu, V. V. Shokurov
We prove the existence of -complements for pairs with DCC coefficients and the ACC for minimal log discrepancies of exceptional singularities. In order to prove these results, w…
Log Adjunction: effectiveness and positivity
V. V. Shokurov
This is a first instalment of much larger work about relations between birational geometry and moduli of triples. The extraction of work is mainly related to Theorem 6. It is a wea…