Abstract
We establish estimates for the number of solutions of certain affine congruences. These estimates are then used to prove Manin's conjecture for a cubic surface split over Q whose singularity type is D-4. This improves on a result of Browning and answers a problem posed by Tschinkel.
Details
Title
Affine congruences and rational points on a certain cubic surface
Author(s)
Le Boudec, Pierre
Published in
Algebra & Number Theory
Pagination
38
Volume
8
Issue
5
Pages
1259-1296
Date
2014
Publisher
Berkeley, Mathematical Science Publ
ISSN
1937-0652
Other identifier(s)
View record in Web of Science
Laboratories
TAN
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > TAN - Chair of analytic number theory
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2014-12-30