Kolyvagin’s method for Chow groups of Kuga–Sato varieties over ring class fields

Autor: Yara Elias

Publikováno v: Annales mathématiques du Québec. 39:147-167

Using the theory of Euler systems and Nekovař’s adaptation of Kolyvagin’s descent techniques, we bound the size of Selmer groups associated to modular forms of even weight larger than 2 twisted by ring class characters of imaginary quadratic fie

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c09f88ea8832c4cd8826f6ab2d174c2e
https://doi.org/10.1007/s40316-015-0032-8

Non-ordinary curves with a Prym variety of low $p$-rank

Autor: Burcin Gunes, Türkü Özlüm Çelik, Rachel Newton, Rachel Pries, Lara Thomas, Yara Elias, Ekin Ozman

Publikováno v: Women in Numbers Europe II : Contributions to Number Theory and Arithmetic Geometry
Association for women in mathematics
Association for Women in Mathematics Series ISBN: 9783319749976

If $\pi: Y \to X$ is an unramified double cover of a smooth curve of genus $g$, then the Prym variety $P_\pi$ is a principally polarized abelian variety of dimension $g-1$. When $X$ is defined over an algebraically closed field $k$ of characteristic

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0be98e608f2f349b0ed9d44df41f41a3
https://hal.archives-ouvertes.fr/hal-01579544

Provably Weak Instances of Ring-LWE

Autor: Ekin Ozman, Kristin E. Lauter, Katherine E. Stange, Yara Elias

Publikováno v: Lecture Notes in Computer Science ISBN: 9783662479889
CRYPTO (1)

The ring and polynomial learning with errors problems (Ring-LWE and Poly-LWE) have been proposed as hard problems to form the basis for cryptosystems, and various security reductions to hard lattice problems have been presented. So far these problems

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a639cf17faa2dca0239c64b85696518d
https://doi.org/10.1007/978-3-662-47989-6_4