A classification of terminal quartic 3-folds and applications to rationality questions

DOI10.1007/s00208-011-0658-zzbMath1264.14054arXiv0908.0289OpenAlexW2047048921MaRDI QIDQ453308

Anne-Sophie Kaloghiros

Publication date: 19 September 2012

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.0289

zbMATH Keywords

Fano varietiesrationalityminimal model programnon factoriality

Mathematics Subject Classification ID

(3)-folds (14J30) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30) Rationality questions in algebraic geometry (14E08)

Related Items (9)

Asymptotically cylindrical Calabi-Yau 3-folds from weak Fano 3-folds ⋮ Rationality of an \(S_6\)-invariant quartic 3-fold ⋮ Towards the classification of weak Fano threefolds with \(\rho = 2\) ⋮ Rationality of Fano threefolds with terminal Gorenstein singularities. I ⋮ A note on nodal determinantal hypersurfaces ⋮ Rationality of Fano threefolds with terminal Gorenstein singularities. II ⋮ Non-rigid quartic -folds ⋮ Unnamed Item ⋮ The defect of Fano $3$-folds

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