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Raymond van Bommel
Raymond van Bommel
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Titel
Zitiert von
Zitiert von
Jahr
Numerical verification of the Birch and Swinnerton-Dyer conjecture for hyperelliptic curves of higher genus over ℚ up to squares
R van Bommel
Experimental Mathematics 31 (1), 138-145, 2022
202022
Explicit arithmetic intersection theory and computation of Néron-Tate heights
R Van Bommel, D Holmes, JS Müller
Mathematics of Computation 89 (321), 395-410, 2020
192020
Boundedness in families with applications to arithmetic hyperbolicity
R van Bommel, A Javanpeykar, L Kamenova
arXiv preprint arXiv:1907.11225, 2019
172019
A user's guide to the local arithmetic of hyperelliptic curves
AJ Best, LA Betts, M Bisatt, R van Bommel, V Dokchitser, O Faraggi, ...
Bulletin of the London Mathematical Society 54 (3), 825-867, 2022
132022
Abelian varieties of prescribed order over finite fields
R van Bommel, E Costa, W Li, B Poonen, A Smith
arXiv preprint arXiv:2106.13651, 2021
52021
Almost all hyperelliptic Jacobians have a bad semi-abelian prime
R van Bommel
Masters thesis, Algant, 2014
52014
Computing isogeny classes of typical principally polarized abelian surfaces over the rationals
R van Bommel, S Chidambaram, E Costa, J Kieffer
arXiv preprint arXiv:2301.10118, 2023
32023
Boundedness in families with applications to arithmetic hyperbolicity
R van Bommel, A Javanpeykar, L Kamenova
Journal of the London Mathematical Society 109 (1), e12847, 2024
22024
Reduction of Plane Quartics and Cayley Octads
R van Bommel, J Docking, V Dokchitser, R Lercier, EL García
arXiv preprint arXiv:2309.17381, 2023
22023
Computing torsion for plane quartics without using height bounds
R van Bommel
arXiv preprint arXiv:2301.08312, 2023
22023
Inverse Galois problem for ordinary curves
R van Bommel
International Journal of Number Theory 14 (05), 1305-1315, 2018
22018
Reduction of Plane Quartics and Dixmier-Ohno invariants
R van Bommel, J Docking, R Lercier, EL García
arXiv preprint arXiv:2401.13902, 2024
12024
Efficient computation of BSD invariants in genus 2
R van Bommel
Arithmetic Geometry, Number Theory, and Computation, 237-258, 2021
12021
The Birch and Swinnerton-Dyer conjecture for an elliptic curve over Q 5 4
R van Bommel
Archiv der Mathematik 114 (2), 159-169, 2020
2020
Kwack’s theorem and its applications
R van Bommel
2019
Models of curves: the birch and Swinnerton-Dyer conjecture & ordinary reduction
R Bommel
Leiden University, 2018
2018
How to compute regulators using Arakelov intersection theory
R van Bommel
2018
Models of curves
R van Bommel
2017
The algebraic stack Mg
R van Bommel
2015
(Toward) an algorithm for resolution of singularities (for curves) in positive characteristic
JA Myer, R van Bommel, M Montoro
2024 Joint Mathematics Meetings (JMM 2024), 0
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