TWO RATIONAL NODAL QUARTIC THREEFOLDS

Ivan Cheltsov, Konstantin Shramov

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

Abstract

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

@article{ed6195af59a4442d8ed9ee3713fd8880,

title = "TWO RATIONAL NODAL QUARTIC THREEFOLDS",

abstract = "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.",

author = "Ivan Cheltsov and Konstantin Shramov",

year = "2016",

month = nov,

day = "30",

doi = "10.1093/qmath/haw032",

language = "English",

volume = "67",

pages = "573--601",

journal = "The Quarterly Journal of Mathematics",

issn = "0033-5606",

publisher = "Oxford University Press",

number = "4",

}

TY - JOUR

T1 - TWO RATIONAL NODAL QUARTIC THREEFOLDS

AU - Cheltsov, Ivan

AU - Shramov, Konstantin

PY - 2016/11/30

Y1 - 2016/11/30

N2 - 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.

AB - 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.

U2 - 10.1093/qmath/haw032

DO - 10.1093/qmath/haw032

M3 - Article

SN - 0033-5606

VL - 67

SP - 573

EP - 601

JO - The Quarterly Journal of Mathematics

JF - The Quarterly Journal of Mathematics

IS - 4

ER -