SMOOTHNESS OF THE GENERAL ANTICANONICAL DIVISOR ON A FANO 3-FOLD

DOI10.1070/IM1980v014n02ABEH001123zbMath0429.14012OpenAlexW2049203974MaRDI QIDQ3866207

Vyacheslav V. Shokurov

Publication date: 1980

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1980v014n02abeh001123

zbMATH Keywords

anticanonical divisorample anticanonical linear systemFano three-fold

Mathematics Subject Classification ID

(3)-folds (14J30) Divisors, linear systems, invertible sheaves (14C20)

Related Items (15)

Classification of non-Gorenstein Q-Fano d-folds of Fano index greater than d − 2 ⋮ Rank 2 stable vector bundles on Fano 3-folds of index 2 ⋮ Rationality of Fano threefolds with terminal Gorenstein singularities. I ⋮ Boundedness of complements for log Calabi-Yau threefolds ⋮ Fano's last Fano ⋮ Constructions of Compact $$G_2$$-Holonomy Manifolds ⋮ Unnamed Item ⋮ Ample Weil divisors on K3 surfaces with Du Val singularities ⋮ Families of \(K3\) surfaces in smooth Fano 3-folds with Picard number 2 ⋮ Anti-pluricanonical systems on Fano varieties ⋮ Unnamed Item ⋮ On anti-pluricanonical systems of \(\mathbb Q\)-Fano 3-folds ⋮ Ladders on Fano varieties ⋮ Threefolds with big and nef anticanonical bundles. I ⋮ The complete classification of compactifications of \(\mathbb{C}^ 3\) which are projective manifolds with the second Betti number one

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