On nonrational fibers of del Pezzo fibrations over curves

DOI10.1134/S0001434619110294zbMath1445.14020arXiv1811.04418OpenAlexW2998072509WikidataQ126469575 ScholiaQ126469575MaRDI QIDQ2304509

K. V. Loginov

Publication date: 12 March 2020

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

Full work available at URL: https://arxiv.org/abs/1811.04418

zbMATH Keywords

del Pezzo surfacerationalityMori fibration

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Rational and ruled surfaces (14J26) Fibrations, degenerations in algebraic geometry (14D06) Families, moduli, classification: algebraic theory (14J10)

Related Items (2)

K-stability of Fano threefolds of rank 4 and degree 24 ⋮ Bounding non-rationality of divisors on 3-fold Fano fibrations

Cites Work

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• Crepant blowing-up of 3-dimensional canonical singularities and its application to degenerations of surfaces
• Normal Gorenstein surfaces with ample anti-canonical divisor
• Rationality does not specialize among terminal fourfolds
• Nonnormal del Pezzo surfaces
• On non-rational numerical Del Pezzo surfaces
• Multiple fibers of del Pezzo fibrations
• On non-normal del Pezzo surfaces
• Introduction
• Finite Subgroups of the Plane Cremona Group
• Rationality does not specialise among terminal varieties
• Introduction to the Mori program

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