Mori dream spaces and birational rigidity of Fano 3-folds

DOI10.1016/j.aim.2016.01.008zbMath1348.14036arXiv1407.3724OpenAlexW2272565781MaRDI QIDQ5965072

Francesco Zucconi, Hamid Ahmadinezhad

Publication date: 2 March 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.3724

zbMATH Keywords

birational rigidityFano threefoldsweighted complete intersections

Mathematics Subject Classification ID

Rational and birational maps (14E05) Minimal model program (Mori theory, extremal rays) (14E30) Rationality questions in algebraic geometry (14E08)

Related Items

Birationally rigid Fano threefold hypersurfaces, BIRATIONAL RIGIDITY OF ORBIFOLD DEGREE 2 DEL PEZZO FIBRATIONS, Sarkisov links for index 1 Fano 3‐folds in codimension 4, K-stability of birationally superrigid Fano 3-fold weighted hypersurfaces, High-pliability Fano hypersurfaces, Nonsolidity of uniruled varieties, Birational Mori fiber structures of \(\mathbb{Q}\)-Fano 3-fold weighted complete intersections. III., Birational Mori fiber structures of \(\mathbb{Q}\)-Fano 3-fold weighted complete intersections. II, On Mori chamber and stable base locus decompositions, Birationally superrigid Fano 3-folds of codimension 4, A Remark on Rationally Connected Varieties and Mori Dream Spaces

Uses Software

• Graded Ring Database

Cites Work

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• On pliability of del Pezzo fibrations and Cox rings
• Geography of log models: theory and applications
• Three-fold divisorial contractions to singularities of higher indices
• Birational automorphisms of multidimensional algebraic manifolds
• The intermediate Jacobian of the cubic threefold
• Maps of toric varieties in Cox coordinates
• Supplement to classification of threefold divisorial contractions
• Birational Mori fiber structures of ℚ-Fano 3-fold weighted complete intersections
• Graded rings of rank 2 Sarkisov links
• Flip Theorem and the Existence of Minimal Models for 3-Folds
• Flips arising as quotients of hypersurfaces
• Birational geometry of terminal quartic 3-folds, I
• The Sarkisov program
• Birationally rigid Fano threefold hypersurfaces
• Some Elementary Examples of Unirational Varieties Which are Not Rational
• Divisorial contractions in dimension three which contract divisors to smooth points
• Mori dream spaces and GIT.