| Título: | Pencils of quadrics and Jacobians of hyperelliptic curves |
| Autores: | Wang, Xiaoheng |
| Fecha: |
2013-10-08 2013-10-08 2013 2013-10-08 |
| Publicador: | |
| Fuente: |
Ver documento Ver documento |
| Tipo: | Thesis or Dissertation |
| Tema: |
Mathematics Hyperelliptic curves Pencils of quadrics |
| Descripción: |
Using pencils of quadrics, we study a construction of torsors of Jacobians of hyperelliptic curves twice of which is Pic^1. We then use this construction to study the arithmetic invariant theory of the actions of SO2n+1 and PSO2n+2 on self-adjoint operators and show how they facilitate in computing the average order of the 2-Selmer groups of Jacobians of hyperelliptic curves with a rational Weierstrass point, and the average order of the 2-Selmer groups of Jacobians of hyperelliptic curves with a rational non-Weierstrass point, over arbitrary number fields. Mathematics |
| Idioma: | Inglés |
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