Zobrazeno 1 - 10
of 1 553
pro vyhledávání: '"Sutherland, Andrew"'
Let $C$ and $C'$ be curves over a finite field $K$, provided with embeddings $\iota$ and $\iota'$ into their Jacobian varieties. Let $D\to C$ and $D'\to C'$ be the pullbacks (via these embeddings) of the multiplication-by-$2$ maps on the Jacobians. W
Externí odkaz:
http://arxiv.org/abs/2402.08853
Autor:
Maistret, Céline, Sutherland, Andrew
We present an efficient algorithm to compute the Euler factor of a genus 2 curve C/Q at an odd prime p that is of bad reduction for C but of good reduction for the Jacobian of C (a prime of ``almost good'' reduction). Our approach is based on the the
Externí odkaz:
http://arxiv.org/abs/2402.02271
We describe deterministic and probabilistic algorithms to determine whether or not a given monic irreducible polynomial H in Z[X] is a Hilbert class polynomial, and if so, which one. These algorithms can be used to determine whether a given algebraic
Externí odkaz:
http://arxiv.org/abs/2301.11169
We present efficient algorithms for counting points on a smooth plane quartic curve $X$ modulo a prime $p$. We address both the case where $X$ is defined over $\mathbb F_p$ and the case where $X$ is defined over $\mathbb Q$ and $p$ is a prime of good
Externí odkaz:
http://arxiv.org/abs/2208.09890
Autor:
Tabouillot, Victor, Kumar, Rahul, Lalaguna, Paula L., Hajji, Maryam, Clarke, Rebecca, Karimullah, Affar, Thomson, Andrew R., Sutherland, Andrew, Gadegaard, Nikolaj, Hashiyada, Shun, Kadodwala, Malcolm
Publikováno v:
ACS Photonics 2022 11 3617
Nanophotonic platforms in theory uniquely enable < femtomoles of chiral biological and pharmaceutical molecules to be detected, through the highly localised changes in the chiral asymmetries of the near-fields that they induce. However, current chira
Externí odkaz:
http://arxiv.org/abs/2205.07329
Autor:
Katsanevaki, Danai, Till, Sally M., Buller-Peralta, Ingrid, Nawaz, Mohammad Sarfaraz, Louros, Susana R., Kapgal, Vijayakumar, Tiwari, Shashank, Walsh, Darren, Anstey, Natasha J., Petrović, Nina G., Cormack, Alison, Salazar-Sanchez, Vanesa, Harris, Anjanette, Farnworth-Rowson, William, Sutherland, Andrew, Watson, Thomas C., Dimitrov, Siyan, Jackson, Adam D., Arkell, Daisy, Biswal, Suryanarayan, Dissanayake, Kosala N., Mizen, Lindsay A.M., Perentos, Nikolas, Jones, Matt W., Cousin, Michael A., Booker, Sam A., Osterweil, Emily K., Chattarji, Sumantra, Wyllie, David J.A., Gonzalez-Sulser, Alfredo, Hardt, Oliver, Wood, Emma R., Kind, Peter C.
Publikováno v:
In Cell Reports 24 September 2024 43(9)
