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pro vyhledávání: '"Daniel Rayor Hast"'
Autor:
Daniel Rayor Hast
Publikováno v:
Algebra & Number Theory. 15:1565-1580
We prove a certain transcendence property of the unipotent Albanese map of a smooth variety, conditional on the Ax-Schanuel conjecture for variations of mixed Hodge structure. We show that this property allows the Chabauty-Kim method to be generalize
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eaccd0f7e680710afff8aa02573814b4
https://doi.org/10.2140/ant.2021.15.1565
https://doi.org/10.2140/ant.2021.15.1565
Autor:
Daniel Rayor Hast, Jordan S. Ellenberg
Publikováno v:
International Mathematics Research Notices. 2022:14770-14796
We study the Selmer varieties of smooth projective curves of genus at least two defined over $\mathbb{Q}$ which geometrically dominate a curve with CM Jacobian. We extend a result of Coates and Kim to show that Kim’s non-abelian Chabauty method app
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b91886bd3cbb06da704dc7ff3ec72574
https://doi.org/10.1093/imrn/rnab141
https://doi.org/10.1093/imrn/rnab141
Autor:
Sarah Arpin, Tyler Raven Billingsley, Daniel Rayor Hast, Jun Bo Lau, Ray Perlner, Angela Robinson
Publikováno v:
Post-Quantum Cryptography ISBN: 9783031172335
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9fb5efac8cfa381b30c8c097d7ff9557
https://doi.org/10.1007/978-3-031-17234-2_5
https://doi.org/10.1007/978-3-031-17234-2_5
Autor:
Vlad Matei, Daniel Rayor Hast
Publikováno v:
International Mathematics Research Notices. 2019:6554-6584
We study the geometry associated to the distribution of certain arithmetic functions, including the von Mangoldt function and the M\"obius function, in short intervals of polynomials over a finite field $\mathbb{F}_q$. Using the Grothendieck-Lefschet
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::585a078206fa0952f5bd41c8540925ec
https://doi.org/10.1093/imrn/rnx310
https://doi.org/10.1093/imrn/rnx310