Quadric surface bundles over surfaces and stable rationality
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Publication:2636547
DOI10.2140/ANT.2018.12.479zbMATH Open1397.14026arXiv1706.01358OpenAlexW2963835279MaRDI QIDQ2636547
Author name not available (Why is that?)
Publication date: 5 June 2018
Published in: (Search for Journal in Brave)
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 the projective plane, 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.
Full work available at URL: https://arxiv.org/abs/1706.01358
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