Classification of Fano 4-folds with Lefschetz defect 3 and Picard number 5

DOI10.1016/j.jpaa.2021.106864zbMath1469.14086arXiv2007.11229OpenAlexW3185176722MaRDI QIDQ2229978

Eleonora A. Romano, Cinzia Casagrande

Publication date: 17 September 2021

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.11229

Mathematics Subject Classification ID

(4)-folds (14J35) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (5)

Fano manifolds with Lefschetz defect 3 ⋮ Fano 4-folds with a small contraction ⋮ The Lefschetz defect of Fano varieties ⋮ Fano fourfolds having a prime divisor of Picard number 1 ⋮ Anticanonical geometry of the blow-up of \(\mathbb{P}^4\) in 8 points and its Fano model

Cites Work

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• Toward the classification of higher-dimensional toric Fano varieties
• Non-elementary Fano conic bundles
• The blow-up of \(\mathbb{P}^4\) at 8 points and its Fano model, via vector bundles on a del Pezzo surface
• Numerical invariants of Fano 4-folds
• Locally Unsplit Families of Rational Curves of Large Anticanonical Degree on Fano Manifolds
• On the Picard number of divisors in Fano manifolds

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