Fano threefolds of large Fano index and large degree

DOI10.1070/SM2013v204n03ABEH004304zbMath1279.14051arXiv1010.3404OpenAlexW2029218085MaRDI QIDQ2841113

Yuri G. Prokhorov

Publication date: 24 July 2013

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

Full work available at URL: https://arxiv.org/abs/1010.3404

zbMATH Keywords

singularityFano threefold

Mathematics Subject Classification ID

Fano varieties (14J45)

Related Items (8)

K-semistable Fano manifolds with the smallest alpha invariant ⋮ Remark on complements on surfaces ⋮ ON THE ANTI-CANONICAL GEOMETRY OF WEAK -FANO THREEFOLDS, III ⋮ Conic bundle structures on \(\mathbb{Q}\)-Fano threefolds ⋮ Constructing Fano 3-folds from cluster varieties of rank 2 ⋮ \(\mathbb{Q}\)-Fano threefolds of index 7 ⋮ On the anti-canonical geometry of weak \(\mathbb{Q}\)-Fano threefolds. II ⋮ On Gorenstein Fano threefolds with an action of a two-dimensional torus

Uses Software

• Graded Ring Database

Cites Work

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• THE NONVANISHING THEOREM
• Singular Del Pezzo surfaces and analytic compactifications of 3-dimensional complex affine space C³
• Classification of non-Gorenstein Q-Fano d-folds of Fano index greater than d − 2
• The degree of $ \mathbb Q$-Fano threefolds
• Divisorial contractions in dimension three which contract divisors to smooth points

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