Rationality in families of threefolds

DOI10.1007/s12215-013-0110-1zbMath1264.14019arXiv1201.4355OpenAlexW2009327398MaRDI QIDQ1945111

Davide Fusi, Tommaso de Fernex

Publication date: 2 April 2013

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.4355

zbMATH Keywords

rational varietiesseparably rational connectedness

Mathematics Subject Classification ID

Rational and unirational varieties (14M20) Fibrations, degenerations in algebraic geometry (14D06) Rationality questions in algebraic geometry (14E08) Rationally connected varieties (14M22)

Related Items (max. 100)

Rationality of an \(S_6\)-invariant quartic 3-fold ⋮ Rationality and specialization ⋮ Moduli of surfaces in ⋮ Integral Hodge Classes, Decompositions of the Diagonal, and Rationality Questions ⋮ Rationality does not specialize among terminal fourfolds ⋮ Rationality does not specialise among terminal varieties ⋮ Measures of irrationality of the Fano surface of a cubic threefold ⋮ Irrationality issues for projective surfaces ⋮ Hypersurfaces that are not stably rational ⋮ Unirational threefolds with no universal codimension \(2\) cycle ⋮ The motivic nearby fiber and degeneration of stable rationality ⋮ Specialization of birational types ⋮ Cycles, derived categories, and rationality ⋮ Stable rationality of index one Fano hypersurfaces containing a linear space ⋮ On rationally connected varieties over \(C_1\) fields of characteristic 0

Cites Work

• Three constructions of rationality of a four-dimensional cubic
• Théorème de Torelli pour les cubiques de \({\mathbb{P}}^ 5\). (Torelli theorem for the cubics of \({\mathbb{P}}^ 5)\)
• On deformations of threedimensional rational manifolds
• Desingularization of two-dimensional schemes
• Toroidal varieties and the weak factorization theorem
• Birationally rigid hypersurfaces
• Alcune questioni sulla forma cubica dello spazio a cinque dimensioni
• Derived Categories of Cubic Fourfolds
• Torification and factorization of birational maps
• Every rationally connected variety over the function field of a curve has a rational point
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Rationality in families of threefolds