Name
Abstract | ||
|---|---|---|
We describe a general algorithm for computing intersection pairings on arithmetic surfaces. We have implemented our algorithm for curves over Q, and we show how to use it to compute regulators for a number of Jacobians of smooth plane quartics, and to numerically verify the conjecture of Birch and Swinnerton-Dyer for the Jacobian of the split Cartan curve of level 13, up to squares. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1090/mcom/3441 | MATHEMATICS OF COMPUTATION |
Field | DocType | Volume |
General algorithm,Jacobian matrix and determinant,Arithmetic,Intersection theory,Conjecture,Mathematics,Computation | Journal | 89 |
Issue | ISSN | Citations |
321 | 0025-5718 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Raymond van Bommel | 1 | 0 | 0.34 |
| David R Holmes | 2 | 42 | 20.31 |
| Jan Steffen Müller | 3 | 0 | 0.34 |