| Texto completo | |
| Autor(es): |
Cosac, Gregory
;
Doria, Cayo
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | MATHEMATICAL RESEARCH LETTERS; v. 29, n. 4, p. 41-pg., 2022-01-01. |
| Resumo | |
In this article, we study geometric aspects of semi-arithmetic Riemann surfaces by means of number theory and hyperbolic geometry. First, we show the existence of infinitely many semi-arithmetic Riemann surfaces of various shapes and prove that their systoles are dense in the positive real numbers. Furthermore, this leads to a construction, for each genus g >= 2, of infinite families of semiarithmetic surfaces with pairwise distinct invariant trace fields, giving a negative answer to a conjecture of B. Jeon. Finally, for any semi-arithmetic surface we find a sequence of congruence coverings with logarithmic systolic growth and, for the special case of surfaces admitting modular embedding, we are able to exhibit explicit constants. (AU) | |
| Processo FAPESP: | 18/15750-9 - Curvas fechadas em variedades hiperbólicas. |
| Beneficiário: | Cayo Rodrigo Felizardo Dória |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |