The blow-up of \(\mathbb{P}^4\) at 8 points and its Fano model, via vector bundles on a del Pezzo surface

DOI10.1007/s13163-018-0282-5zbMath1435.14041arXiv1707.09152OpenAlexW2963616368MaRDI QIDQ2425055

Cinzia Casagrande, Andrea Fanelli, Giulio Codogni

Publication date: 26 June 2019

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.09152

zbMATH Keywords

Fano varietiesdel Pezzo surfacesbirational geometrymoduli of vector bundles

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) (4)-folds (14J35) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (11)

ON THE FIRST STEPS OF THE MINIMAL MODEL PROGRAM FOR THE MODULI SPACE OF STABLE POINTED CURVES ⋮ Fano 4-folds with a small contraction ⋮ Fano 3-folds from homogeneous vector bundles over Grassmannians ⋮ Fano 4-folds with rational fibrations ⋮ The Lefschetz defect of Fano varieties ⋮ Cremona Orbits in $$\mathbb {P}^4$$ and Applications ⋮ Fano fourfolds having a prime divisor of Picard number 1 ⋮ Weyl Cycles on the Blow-Up of $${\mathbb P}^4$$ at Eight Points ⋮ Classification of Fano 4-folds with Lefschetz defect 3 and Picard number 5 ⋮ A note on the fibres of Mori fibre spaces ⋮ Anticanonical geometry of the blow-up of \(\mathbb{P}^4\) in 8 points and its Fano model

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