TWO RATIONAL NODAL QUARTIC THREEFOLDS

Ivan Cheltsov, Konstantin Shramov

Research output: Contribution to journal › Article › peer-review

Abstract / Description of output

We prove that the quartic 3-folds defined by
∑5i=0xi=∑5i=0x4i−t(∑5i=0x2i)2=0
in P5 are rational for t=16 and t=710.

Original language	English
Pages (from-to)	573-601
Number of pages	28
Journal	The Quarterly Journal of Mathematics
Volume	67
Issue number	4
Early online date	30 Sept 2016
DOIs	https://doi.org/10.1093/qmath/haw032
Publication status	Published - 30 Nov 2016

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title = "TWO RATIONAL NODAL QUARTIC THREEFOLDS",

abstract = "We prove that the quartic 3-folds defined by ∑5i=0xi=∑5i=0x4i−t(∑5i=0x2i)2=0in P5 are rational for t=16 and t=710.",

author = "Ivan Cheltsov and Konstantin Shramov",

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AU - Cheltsov, Ivan

AU - Shramov, Konstantin

PY - 2016/11/30

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N2 - We prove that the quartic 3-folds defined by ∑5i=0xi=∑5i=0x4i−t(∑5i=0x2i)2=0in P5 are rational for t=16 and t=710.

AB - We prove that the quartic 3-folds defined by ∑5i=0xi=∑5i=0x4i−t(∑5i=0x2i)2=0in P5 are rational for t=16 and t=710.

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DO - 10.1093/qmath/haw032

M3 - Article

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EP - 601

JO - The Quarterly Journal of Mathematics

JF - The Quarterly Journal of Mathematics

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