The density of rational points and invariants of genus one curves
Doctoral thesis, 2019

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genus one

discriminant

modular form

Elliptic curve

height

descent

determinantal representation

invariant

rational point

theta function.

determinant method

Author

Manh Hung Tran

Chalmers, Mathematical Sciences, Algebra and geometry

Included papers

Counting rational points on smooth cubic curves

Journal of Number Theory,;Vol. 189(2018)p. 138-146

Journal article

Uniform bounds for rational points on complete intersections of two quadric surfaces

Acta Arithmetica,;Vol. 186(2018)p. 301-318

Journal article

Manh Hung Tran. Invariants of models of genus one curves via and modular forms and determinantal representations, Submitted, arXiv:1911.01350.

Manuscript

Popular science description

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Categorizing

Subject Categories (SSIF 2011)

Mathematics

Geometry

Identifiers

ISBN

978-91-7905-204-1

Other

Series

Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie: 4671

Publisher

Chalmers

Public defence

2020-01-29 13:15

Pascal, Hörsalsvägen 1

Opponent: Professor Fabien Pazuki, University of Copenhagen, Denmark.

More information

Latest update

12/17/2019