Abstract
Let C be an odd degree hyperelliptic curve over a number field K and J be its Jacobian. Let JX be the quadratic twist of J by a quadratic character 2 Hom(GK; f1g). For every non-negative integer r, we show the probability that dimF2(Sel2(J=K)) = r for a certain family of quadratic twists can be given explicitly conditional on some heuristic hypothesis.
| Original language | English |
|---|---|
| Pages (from-to) | 1217-1250 |
| Number of pages | 34 |
| Journal | Mathematical Research Letters |
| Volume | 26 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2019 |
Bibliographical note
Publisher Copyright:© 2019 International Press of Boston, Inc.. All rights reserved.
All Science Journal Classification (ASJC) codes
- Mathematics(all)