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Birational models and flips
Combinatorics of fronts of Legendrian links and the Arnold 4conjectures
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arbitrary arithmetic Arnol'd array asymptotic b-divisor ball Banach space bifurcation birational contraction birational transform Boolean algebras boundary coincides conjecture contains continuous functions Corollary corresponding critical points curve cusps D-dense decomposition defined definition denote differential equations dimension Dokl element elementary theory English transl equivalent example finite formula front Hence inequality integral invariant involution isomorphism Kudryavtsev lattice Legendrian knot Legendrian link Legendrian submanifold Lemma linear LMMP locally convex space log canonical model log flips log minimal model log pair Maslov potential Math Mathematics Mathematics Subject Classification morphism Moscow Nauk non-singular points obtained operator orbit periodic functions polynomial positive pseudo-involution pre-images prime divisors problems projective proof of Theorem Proposition provability proved Q-factorial quasi-periodic quasi-periodic functions relation representation respect Russian semigroup semistable sequence singularities Steklov subset subspace surface tableau topological group trajectories values variety vector weakly almost periodic zero