Erratum: A very general quartic double fourfold or fivefold is not stably rational
نویسندگان
چکیده
منابع مشابه
Hypersurfaces that are not stably rational
A fundamental problem of algebraic geometry is to determine which varieties are rational, that is, isomorphic to projective space after removing lower-dimensional subvarieties from both sides. In particular, we want to know which smooth hypersurfaces in projective space are rational. An easy case is that smooth complex hypersurfaces of degree at least n + 2 in P are not covered by rational curv...
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Andrea Blanco-Redondo, C. Martijn de Sterke, J.E. Sipe, Thomas F. Krauss, Benjamin J. Eggleton & Chad Husko Nature Communications 7:10427 doi: 10.1038/ncomms10427 (2016); Published 29 Jan 2016; Updated 9 Mar 2016 The original version of this article contained an error in the spelling of the author C. Martijn de Sterke, which was incorrectly given as de Sterke C. Martijn. This has now been corre...
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In 1985, K. S. Williams, K. Hardy and C. Friesen [11] published a reciprocity formula that comprised all known rational quartic reciprocity laws. Their proof consisted in a long and complicated manipulation of Jacobi symbols and was subsequently simplified (and generalized) by R. Evans [3]. In this note we give a proof of their reciprocity law which is not only considerably shorter but also she...
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for every prime p ≡ 1 mod 4 such that (p/pj) = +1 for all 1 ≤ j ≤ r. This is ’the extension to composite values of m’ that was referred to in [3], to which this paper is an addition. Here I will fill in the details of a proof, on the one hand because I was requested to do so, and on the other hand because this general law can be used to derive general versions of Burde’s and Scholz’s reciprocit...
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ژورنال
عنوان ژورنال: Algebraic Geometry
سال: 2016
ISSN: 2214-2584
DOI: 10.14231/ag-2016-006