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Bounded three-dimensional Fano varieties of integer index

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Publication:1569301
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DOI10.1007/BF02676446zbMath0973.14019MaRDI QIDQ1569301

I. A. Chel'tsov

Publication date: 1 April 2001

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


zbMATH Keywords

ample Cartier divisorthree-dimensional Fano variety


Mathematics Subject Classification ID

(3)-folds (14J30) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30)


Related Items (3)

Rationality of Fano threefolds with terminal Gorenstein singularities. I ⋮ Threefolds with big and nef anticanonical bundles. II ⋮ The Noether inequality for algebraic \(3\)-folds. With an appendix by János Kollár.



Cites Work

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  • 3-dimensional Fano varieties with canonical singularities
  • Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces
  • Rational connectedness and boundedness of Fano manifolds
  • On Fujita's freeness conjecture for 3-folds and 4-folds
  • On classification of non-Gorenstein \(\mathbb{Q}\)-Fano 3-folds of Fano index 1
  • Projective Models of K - 3 Surfaces
  • AN ANALOGUE OF THE TORELLI THEOREM FOR KUMMER SURFACES OF JACOBIANS


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