Reduction of abstract homomorphisms of lattices mod p and rigidity
| dc.creator | Khare, Chandrashekhar | |
| dc.creator | Prasad, Dipendra | |
| dc.date | 2002-02-13 | |
| dc.date.accessioned | 2026-07-07T04:46:45Z | |
| dc.date.available | 2026-07-07T04:46:45Z | |
| dc.description | In this paper we pose and answer the following question in a few different contexts: Given a homomorphism f:L_1 --> L_2 of a ``lattices'' that ``reduces mod p'' for almost all primes p, is f ``algebraic''? For instance the lattices may be the Mordell-Weil lattices of rational points of abelian varieties over Q, or arithmetic groups etc. Implicit in an affirmative answer to the question for Mordell-Weil lattices is a novel criterion for abelian varities to be isogenous. | |
| dc.identifier | https://arxiv.org/abs/math/0202310 | |
| dc.identifier | http://arxiv.org/abs/math/0202310 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63460 | |
| dc.subject | Number Theory | |
| dc.title | Reduction of abstract homomorphisms of lattices mod p and rigidity | |
| dc.type | text |