Mathematics > Algebraic Geometry
[Submitted on 1 Jun 2024
(v1)
, last revised 4 Sep 2025 (this version, v3)]
Title: Certaines fibrations en surfaces quadriques réelles
Title: 某些实二次曲面纤维化
Abstract: We consider the question whether a real threefold X fibred into quadric surfaces over the real projective line is stably rational (over R) if the topological space X(R) is connected. We give a counterexample. When all geometric fibres are irreducible, the question is open. We investigate a family of such fibrations for which the intermediate jacobian technique is not available. We produce two independent methods which in many cases enable one to prove decomposition of the diagonal.
Submission history
From: Alena Pirutka [view email][v1] Sat, 1 Jun 2024 15:24:48 UTC (39 KB)
[v2] Thu, 13 Jun 2024 17:21:13 UTC (39 KB)
[v3] Thu, 4 Sep 2025 17:25:19 UTC (43 KB)
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