Volume: 152; 2017; 149 pp; Softcover
MSC: Primary 14; 11;
Print ISBN: 978-2-85629-865-7
Product Code: SMFMEM/152
List Price: $52.00
AMS Member Price: $41.60
Diophantine Applications of Geometric Invariant Theory
Share this pageMarco Maculan
A publication of the Société Mathématique de France
The author presents a proof of Roth's theorem (and some more recent variants) based on geometric invariant theory. A crucial role is played by a formula of Burnol-Zhang. The formula is studied in detail and is linked to Berkovich's \(p\)-adic analytic geometry and a conjecture of Bost on the tensor product of Hermitian vector bundles on a number field.
A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.
Readership
Graduate students and research mathematicians interested in geometric invariant theory.