Anticanonical geometry of the blow-up of \(\mathbb{P}^4\) in 8 points and its Fano model

DOI10.1007/s00209-022-03123-3OpenAlexW3209606220MaRDI QIDQ2098210

Zhixin Xie

Publication date: 17 November 2022

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

Full work available at URL: https://arxiv.org/abs/2111.02084

Mathematics Subject Classification ID

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

Related Items

The Lefschetz defect of Fano varieties

Cites Work

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• On the structure of polarized manifolds with total deficiency one. III
• Small contractions of four dimensional algebraic manifolds
• On the structure of polarized manifolds with total deficiency one. I
• On the structure of polarized manifolds with total deficiency one. II
• On hyperelliptic polarized varieties
• On the classification of toric Fano 4-folds
• Toward the classification of higher-dimensional toric Fano varieties
• Normal bundles of rational curves in projective space
• Classification of Fano 4-folds with Lefschetz defect 3 and Picard number 5
• 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
• Classical Algebraic Geometry
• Mirror Symmetry and Fano Manifolds
• Fano fourfolds of index greater than one.
• SOME REMARKS AID PROBLEMS CONCERNING THE GEOGRAPHY OF FANO 4-FOLDS OF INDEX AND PICARDNUMBER ONE
• On the Picard number of divisors in Fano manifolds
• Quantum Periods for Certain Four-Dimensional Fano Manifolds