Bertini and Northcott

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Bertini and Northcott. / Pazuki, Fabien; Widmer, Martin.

In: Research in Number Theory, Vol. 7, No. 1, 12, 2021, p. 1-18.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Pazuki, F & Widmer, M 2021, 'Bertini and Northcott', Research in Number Theory, vol. 7, no. 1, 12, pp. 1-18. https://doi.org/10.1007/s40993-021-00236-2

APA

Pazuki, F., & Widmer, M. (2021). Bertini and Northcott. Research in Number Theory, 7(1), 1-18. [12]. https://doi.org/10.1007/s40993-021-00236-2

Vancouver

Pazuki F, Widmer M. Bertini and Northcott. Research in Number Theory. 2021;7(1):1-18. 12. https://doi.org/10.1007/s40993-021-00236-2

Author

Pazuki, Fabien ; Widmer, Martin. / Bertini and Northcott. In: Research in Number Theory. 2021 ; Vol. 7, No. 1. pp. 1-18.

Bibtex

@article{8e131b38090c4ee49d1bf9809390a413,
title = "Bertini and Northcott",
abstract = "We prove a new Bertini-type Theorem with explicit control of the genus, degree, height, and the field of definition of the constructed curve. As a consequence we provide a general strategy to reduce certain height and rank estimates on abelian varieties over a number field K to the case of jacobian varieties defined over a suitable extension of K.",
author = "Fabien Pazuki and Martin Widmer",
year = "2021",
doi = "10.1007/s40993-021-00236-2",
language = "English",
volume = "7",
pages = "1--18",
journal = "Research in Number Theory",
issn = "2522-0160",
publisher = "Springer",
number = "1",

}

RIS

TY - JOUR

T1 - Bertini and Northcott

AU - Pazuki, Fabien

AU - Widmer, Martin

PY - 2021

Y1 - 2021

N2 - We prove a new Bertini-type Theorem with explicit control of the genus, degree, height, and the field of definition of the constructed curve. As a consequence we provide a general strategy to reduce certain height and rank estimates on abelian varieties over a number field K to the case of jacobian varieties defined over a suitable extension of K.

AB - We prove a new Bertini-type Theorem with explicit control of the genus, degree, height, and the field of definition of the constructed curve. As a consequence we provide a general strategy to reduce certain height and rank estimates on abelian varieties over a number field K to the case of jacobian varieties defined over a suitable extension of K.

U2 - 10.1007/s40993-021-00236-2

DO - 10.1007/s40993-021-00236-2

M3 - Journal article

VL - 7

SP - 1

EP - 18

JO - Research in Number Theory

JF - Research in Number Theory

SN - 2522-0160

IS - 1

M1 - 12

ER -

ID: 305700939