Zobrazeno 1 - 6
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pro vyhledávání: '"14G05, 11G10"'
Autor:
Morgan, Adam
Conditional on finiteness of relevant Shafarevich--Tate groups, Harpaz and Skorobogatov used Swinnerton-Dyer's descent-fibration method to establish the Hasse principle for Kummer varieties associated to a 2-covering of a principally polarised abelia
Externí odkaz:
http://arxiv.org/abs/2309.02374
Publikováno v:
Forum of Mathematics, Sigma 12 (2024) e92
Let $A$ be an abelian surface over $\mathbb{Q}$ whose geometric endomorphism ring is a maximal order in a non-split quaternion algebra. Inspired by Mazur's theorem for elliptic curves, we show that the torsion subgroup of $A(\mathbb{Q})$ is $12$-tors
Externí odkaz:
http://arxiv.org/abs/2308.15193
We study rational points on ramified covers of abelian varieties over certain infinite Galois extensions of $\mathbb{Q}$. In particular, we prove that every elliptic curve $E$ over $\mathbb{Q}$ has the weak Hilbert property of Corvaja-Zannier both ov
Externí odkaz:
http://arxiv.org/abs/2206.01582
Autor:
Harpaz, Yonatan
A powerful method pioneered by Swinnerton-Dyer allows one to study rational points on pencils of curves of genus 1 by combining the fibration method with a sophisticated form of descent. A variant of this method, first used by Skorobogatov and Swinne
Externí odkaz:
http://arxiv.org/abs/1703.04992
We prove formulas for the p-adic logarithm of quaternionic Darmon points on p-adic tori and modular abelian varieties over Q having purely multiplicative reduction at p. These formulas are amenable to explicit computations and are the first to treat
Externí odkaz:
http://arxiv.org/abs/1106.2668
Autor:
Harpaz, Yonatan
Publikováno v:
Proceedings of the London Mathematical Society
Proceedings of the London Mathematical Society, London Mathematical Society, 2019, 118 (3), pp.606-648. ⟨10.1112/plms.12191⟩
Proceedings of the London Mathematical Society, London Mathematical Society, 2019, 118 (3), pp.606-648. ⟨10.1112/plms.12191⟩
International audience; A powerful method pioneered by Swinnerton-Dyer allows one to study rational points on pencils of curves of genus 1 by combining the fibration method with a sophisticated form of descent. A variant of this method, first used by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::46d1bdf2219e667005bd56c0874cf09e
https://hal.archives-ouvertes.fr/hal-02409130
https://hal.archives-ouvertes.fr/hal-02409130