Zobrazeno 1 - 3
of 3
pro vyhledávání: '"Enea Milio"'
Autor:
Enea Milio
Publikováno v:
Mathematics of Computation. 89:1331-1364
We present a quasi-linear algorithm to compute isogenies between Jacobians of curves of genus 2 and 3 starting from the equation of the curve and a maximal isotropic subgroup of the l-torsion, for l an odd prime number, generalizing the Velu's formul
Autor:
Enea Milio, Damien Robert
Publikováno v:
Journal of Number Theory
Journal of Number Theory, Elsevier, 2020, ⟨10.1016/j.jnt.2020.04.014⟩
Journal of Number Theory, 2020, ⟨10.1016/j.jnt.2020.04.014⟩
Journal of Number Theory, Elsevier, 2020, ⟨10.1016/j.jnt.2020.04.014⟩
Journal of Number Theory, 2020, ⟨10.1016/j.jnt.2020.04.014⟩
We describe an evaluation/interpolation approach to compute modular polynomials on a Hilbert surface, which parametrizes abelian surfaces with maximal real multiplication. Under some heuristics we obtain a quasi-linear algorithm. The corresponding mo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bdad467e383b170350c088563799b477
https://hal.archives-ouvertes.fr/hal-01520262v3/file/revisionHilbert.pdf
https://hal.archives-ouvertes.fr/hal-01520262v3/file/revisionHilbert.pdf
Autor:
Enea Milio
Publikováno v:
LMS Journal of Computation and Mathematics
LMS Journal of Computation and Mathematics, London Mathematical Society, 2015, 18, pp.603-632
LMS Journal of Computation and Mathematics, 2015, 18, pp.603-632
LMS Journal of Computation and Mathematics, London Mathematical Society, 2015, 18, pp.603-632
LMS Journal of Computation and Mathematics, 2015, 18, pp.603-632
We propose to generalize the work of Régis Dupont for computing modular polynomials in dimension $2$ to new invariants. We describe an algorithm to compute modular polynomials for invariants derived from theta constants and prove heuristically that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c8c8d7a9bfec790c95cc6eb3910edd7
http://hdl.handle.net/20.500.12278/114093
http://hdl.handle.net/20.500.12278/114093