Super-rigid affine Fano varieties

DOI10.1112/S0010437X18007534zbMath1408.14052arXiv1712.09148OpenAlexW3100232902WikidataQ129072597 ScholiaQ129072597MaRDI QIDQ3121275

I. A. Chel'tsov, Adrien Dubouloz, Jihun Park

Publication date: 15 March 2019

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.09148

zbMATH Keywords

automorphismdel Pezzo surfaceFano varietybirational automorphismsuper-rigiditypurely log terminal$\alpha$-invariant$\mathbb{A}^1$-cylinder$\mathbb{G}_a$-actionaffine Fano varietyfinite quotient of affine spacelog Noether-Fano inequalitypolar cylinder

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Singularities of surfaces or higher-dimensional varieties (14J17) Rational and birational maps (14E05) Fano varieties (14J45) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Divisors, linear systems, invertible sheaves (14C20) Group actions on affine varieties (14R20) Hypersurfaces and algebraic geometry (14J70) Automorphisms of surfaces and higher-dimensional varieties (14J50) Affine fibrations (14R25)

Related Items

Effective results in the theory of birational rigidity, \(\mathbb{G}_a\)-actions on the complements of hypersurfaces, Basis log canonical thresholds, local intersection estimates, and asymptotically log del Pezzo surfaces, Completions of affine spaces into Mori fiber spaces with non‐rational fibers, Weakly exceptional singularities of log del Pezzo surfaces, Cylinders in Fano varieties, Alpha invariants of birationally bi-rigid Fano 3-folds I, Algebraic hypersurfaces

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