For each fixed dimension d and positive rational epsilon, every epsilon-log-canonical Fano contraction of a normal integral variety over an algebraically closed characteristic-zero field admits, near each closed base point, a klt complement whose Cartier index is bounded only by d and epsilon.
For each fixed dimension d and positive rational epsilon, every epsilon-log-canonical Fano contraction of a normal integral variety over an algebraically closed characteristic-zero field admits, near each closed base point, a klt complement whose Cartier index is bounded only by d and epsilon.
For each fixed dimension d and positive rational epsilon, every epsilon-log-canonical Fano contraction of a normal integral variety over an algebraically closed characteristic-zero field admits, near each closed base point, a klt complement whose Cartier index is bounded only by d and epsilon.
If correct, proves a broad bounded-klt-complement theorem and implies the finite-rational-coefficient form of Shokurov’s conjecture.
Do fixed-dimensional epsilon-log-canonical Fano contractions admit local klt complements of uniformly bounded index?
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OpenAI reports bounded klt complements for Fano contractions
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