Classification of non-Gorenstein Q-Fano d-folds of Fano index greater than d − 2

DOI10.1017/S0027763000005663zbMath0864.14023MaRDI QIDQ5285318

Takeshi Sano

Publication date: 30 June 1997

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Del Pezzo surfacesFano indexweighted hypersurfacesnon-Gorenstein Fano \(d\)-folds

Mathematics Subject Classification ID

Fano varieties (14J45) (n)-folds ((n>4)) (14J40)

Related Items (13)

Calabi–Yau threefolds with non‐Gorenstein involutions ⋮ Equivalent birational embeddings. II: Divisors ⋮ A type of the Lefschetz hyperplane section theorem on \({\mathbb{Q}}\)-Fano 3-folds with Picard number one and \({\frac{1}{2}(1,1,1)}\)-singularities ⋮ On codimension 1 del Pezzo foliations on varieties with mild singularities ⋮ Equivariant minimal model program ⋮ The moduli space of genus four even spin curves is rational ⋮ On classification of ℚ-fano 3-folds of Gorenstein index 2. I ⋮ On classification of ℚ-fano 3-folds of Gorenstein index 2. II ⋮ Classification of primary ℚ-Fano threefolds with anti-canonical Du Val 𝕂3 surfaces, I ⋮ On the existence of Enriques-Fano threefolds of index greater than one ⋮ Fano threefolds of large Fano index and large degree ⋮ Ladders on Fano varieties ⋮ On rationally connected varieties over \(C_1\) fields of characteristic 0

Cites Work

• On the plurigenera of minimal algebraic 3-folds with \(K\equiv 0\)
• Classification of Fano 3-folds with \(B_ 2 \geq 2\)
• Normal Gorenstein surfaces with ample anti-canonical divisor
• Biregular classification of Fano 3-folds and Fano manifolds of coindex 3
• FANO 3-FOLDS. II
• SMOOTHNESS OF THE GENERAL ANTICANONICAL DIVISOR ON A FANO 3-FOLD
• THE EXISTENCE OF A STRAIGHT LINE ON FANO 3-FOLDS
• FANO 3-FOLDS. I

This page was built for publication: Classification of non-Gorenstein Q-Fano d-folds of Fano index greater than d − 2