Nombre de points rationnels des courbes | Zendy

Rémond Gaël | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Nombre de points rationnels des courbes

Author(s) -

Rémond Gaël

Publication year - 2010

Publication title -

proceedings of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.899

H-Index - 65

eISSN - 1460-244X

pISSN - 0024-6115

DOI - 10.1112/plms/pdq005

Subject(s) - mathematics , integer (computer science) , rational number , jacobian matrix and determinant , degree (music) , polynomial , combinatorics , mathematical analysis , physics , computer science , acoustics , programming language

Let F be a polynomial in two variables with integer coefficients, let D be its degree and let M ⩾ 3 be an upper bound for the absolute value of its coefficients. Then the number of rational zeroes of F is either infinite or less than exp(5 D 4 (log M )(log log M ). We prove this as a special case of a result for number fields. The main new ingredient is an estimate for the theta height of a Jacobian.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research