Uniform bounds for rational points on complete intersections of two quadric surfaces
Journal article, 2018
We give uniform upper bounds for the number of rational points of height at most B on non-singular complete intersections of two quadrics in P^3 defined over Q. To do this, we combine determinant methods with descent arguments.
descent.
Diphantine equations
rational points
determinant method
Elliptic curves
Author
Manh Hung Tran
Chalmers, Mathematical Sciences, Algebra and geometry
Acta Arithmetica
0065-1036 (ISSN) 17306264 (eISSN)
Vol. 186 4 301-318Subject Categories
Mathematics
DOI
10.4064/aa170321-24-3