Rationality does not specialise among terminal varieties

DOI10.1017/S0305004116000086zbMath1371.14020arXiv1508.00994MaRDI QIDQ5360389

Burt Totaro

Publication date: 28 September 2017

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00994

Mathematics Subject Classification ID

Singularities of surfaces or higher-dimensional varieties (14J17) Fibrations, degenerations in algebraic geometry (14D06) (n)-folds ((n>4)) (14J40) Rationality questions in algebraic geometry (14E08)

Related Items (4)

Rationality does not specialize among terminal fourfolds ⋮ On nonrational fibers of del Pezzo fibrations over curves ⋮ The motivic nearby fiber and degeneration of stable rationality ⋮ Stable rationality of index one Fano hypersurfaces containing a linear space

Cites Work

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• Zariski-decomposition and abundance
• Rationality in families of threefolds
• On Shokurov's rational connectedness conjecture
• Unirational threefolds with no universal codimension \(2\) cycle
• Hypersurfaces that are not stably rational
• Hypersurfaces quartiques de dimension 3 : non-rationalité stable
• Deformations of canonical singularities
• Introduction

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