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Quadratic Twists of Rigid Calabi–Yau Threefolds Over

Publikation: Bidrag til bog/antologi/rapportBidrag til bog/antologiForskningfagfællebedømt

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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. red. / Radu Laza; Matthias Schütt; Noriko Yui. Bind 3 New York : Springer Science+Business Media, 2013. s. 517-533 (Fields Institute Communications, Bind 67).

Publikation: Bidrag til bog/antologi/rapportBidrag til bog/antologiForskningfagfællebedømt

Harvard

Gouvêa, FQ, Kiming, I & Yui, N 2013, Quadratic Twists of Rigid Calabi–Yau Threefolds Over. i R Laza, M Schütt & N Yui (red), Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds. bind 3, Springer Science+Business Media, New York, Fields Institute Communications, bind 67, s. 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. I R. Laza, M. Schütt, & N. Yui (red.), Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds (Bind 3, s. 517-533). Springer Science+Business Media. Fields Institute Communications Bind 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. I Laza R, Schütt M, Yui N, red., Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds. Bind 3. New York: Springer Science+Business Media. 2013. s. 517-533. (Fields Institute Communications, Bind 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. red. / Radu Laza ; Matthias Schütt ; Noriko Yui. Bind 3 New York : Springer Science+Business Media, 2013. s. 517-533 (Fields Institute Communications, Bind 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