Quadric surface bundles over surfaces and stable rationality

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Stefan Schreieder

Externe Organisationen

  • Ludwig-Maximilians-Universität München (LMU)
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Details

OriginalspracheEnglisch
Seiten (von - bis)479-490
Seitenumfang12
FachzeitschriftAlgebra and Number Theory
Jahrgang12
Ausgabenummer2
PublikationsstatusVeröffentlicht - 13 Mai 2018
Extern publiziertJa

Abstract

We prove a general specialization theorem which implies stable irrationality for a wide class of quadric surface bundles over rational surfaces. As an application, we solve, with the exception of two cases, the stable rationality problem for any very general complex projective quadric surface bundle over ℙ2, given by a symmetric matrix of homogeneous polynomials. Both exceptions degenerate over a plane sextic curve, and the corresponding double cover is a K3 surface.

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Quadric surface bundles over surfaces and stable rationality. / Schreieder, Stefan.
in: Algebra and Number Theory, Jahrgang 12, Nr. 2, 13.05.2018, S. 479-490.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Schreieder S. Quadric surface bundles over surfaces and stable rationality. Algebra and Number Theory. 2018 Mai 13;12(2):479-490. doi: 10.2140/ant.2018.12.479
Schreieder, Stefan. / Quadric surface bundles over surfaces and stable rationality. in: Algebra and Number Theory. 2018 ; Jahrgang 12, Nr. 2. S. 479-490.
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