Quadratic Twists of Rigid Calabi–Yau Threefolds Over

Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

Standard

Quadratic Twists of Rigid Calabi–Yau Threefolds Over. / Gouvêa, Fernando Q. ; Kiming, Ian; Yui, Noriko.

Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds. ed. / Radu Laza; Matthias Schütt; Noriko Yui. Vol. 3 New York : Springer Science+Business Media, 2013. p. 517-533 (Fields Institute Communications, Vol. 67).

Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

Harvard

Gouvêa, FQ, Kiming, I & Yui, N 2013, Quadratic Twists of Rigid Calabi–Yau Threefolds Over. in R Laza, M Schütt & N Yui (eds), Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds. vol. 3, Springer Science+Business Media, New York, Fields Institute Communications, vol. 67, pp. 517-533. https://doi.org/10.1007/978-1-4614-6403-7_20

APA

Gouvêa, F. Q., Kiming, I., & Yui, N. (2013). Quadratic Twists of Rigid Calabi–Yau Threefolds Over. In R. Laza, M. Schütt, & N. Yui (Eds.), Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds (Vol. 3, pp. 517-533). Springer Science+Business Media. Fields Institute Communications Vol. 67 https://doi.org/10.1007/978-1-4614-6403-7_20

Vancouver

Gouvêa FQ, Kiming I, Yui N. Quadratic Twists of Rigid Calabi–Yau Threefolds Over. In Laza R, Schütt M, Yui N, editors, Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds. Vol. 3. New York: Springer Science+Business Media. 2013. p. 517-533. (Fields Institute Communications, Vol. 67). https://doi.org/10.1007/978-1-4614-6403-7_20

Author

Gouvêa, Fernando Q. ; Kiming, Ian ; Yui, Noriko. / Quadratic Twists of Rigid Calabi–Yau Threefolds Over. Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds. editor / Radu Laza ; Matthias Schütt ; Noriko Yui. Vol. 3 New York : Springer Science+Business Media, 2013. pp. 517-533 (Fields Institute Communications, Vol. 67).

Bibtex

@inbook{5250793dfb9b43cfa4c6349f2ab1050e,
title = "Quadratic Twists of Rigid Calabi–Yau Threefolds Over",
abstract = "We consider rigid Calabi–Yau threefolds defined over Q and the question of whether they admit quadratic twists. We give a precise geometric definition of the notion of a quadratic twists in this setting. Every rigid Calabi–Yau threefold over Q is modular so there is attached to it a certain newform of weight 4 on some Γ 0(N). We show that quadratic twisting of a threefold corresponds to twisting the attached newform by quadratic characters and illustrate with a number of obvious and not so obvious examples. The question is motivated by the deeper question of which newforms of weight 4 on some Γ 0(N) and integral Fourier coefficients arise from rigid Calabi–Yau threefolds defined over Q (a geometric realization problem).",
author = "Gouv{\^e}a, {Fernando Q.} and Ian Kiming and Noriko Yui",
year = "2013",
doi = "10.1007/978-1-4614-6403-7_20",
language = "English",
isbn = "978-1-4614-6402-0",
volume = "3",
series = "Fields Institute Communications",
publisher = "Springer Science+Business Media",
pages = "517--533",
editor = "Radu Laza and Matthias Sch{\"u}tt and Noriko Yui",
booktitle = "Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds",
address = "Singapore",

}

RIS

TY - CHAP

T1 - Quadratic Twists of Rigid Calabi–Yau Threefolds Over

AU - Gouvêa, Fernando Q.

AU - Kiming, Ian

AU - Yui, Noriko

PY - 2013

Y1 - 2013

N2 - We consider rigid Calabi–Yau threefolds defined over Q and the question of whether they admit quadratic twists. We give a precise geometric definition of the notion of a quadratic twists in this setting. Every rigid Calabi–Yau threefold over Q is modular so there is attached to it a certain newform of weight 4 on some Γ 0(N). We show that quadratic twisting of a threefold corresponds to twisting the attached newform by quadratic characters and illustrate with a number of obvious and not so obvious examples. The question is motivated by the deeper question of which newforms of weight 4 on some Γ 0(N) and integral Fourier coefficients arise from rigid Calabi–Yau threefolds defined over Q (a geometric realization problem).

AB - We consider rigid Calabi–Yau threefolds defined over Q and the question of whether they admit quadratic twists. We give a precise geometric definition of the notion of a quadratic twists in this setting. Every rigid Calabi–Yau threefold over Q is modular so there is attached to it a certain newform of weight 4 on some Γ 0(N). We show that quadratic twisting of a threefold corresponds to twisting the attached newform by quadratic characters and illustrate with a number of obvious and not so obvious examples. The question is motivated by the deeper question of which newforms of weight 4 on some Γ 0(N) and integral Fourier coefficients arise from rigid Calabi–Yau threefolds defined over Q (a geometric realization problem).

U2 - 10.1007/978-1-4614-6403-7_20

DO - 10.1007/978-1-4614-6403-7_20

M3 - Book chapter

SN - 978-1-4614-6402-0

VL - 3

T3 - Fields Institute Communications

SP - 517

EP - 533

BT - Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds

A2 - Laza, Radu

A2 - Schütt, Matthias

A2 - Yui, Noriko

PB - Springer Science+Business Media

CY - New York

ER -

ID: 48868277