1.3k citations
- University of MichiganUS42 papers
- Argonne National LaboratoryUS27 papers
- Wayne State UniversityUS22 papers
- Centre National de la Recherche ScientifiqueFR20 papers
- University of KaiserslauternDE16 papers
- Oak Ridge National LaboratoryUS13 papers
- Taras Shevchenko National University of KyivUA12 papers
- Technische Universität DresdenDE12 papers
- University of MessinaIT12 papers
- University of Tennessee at KnoxvilleUS12 papers
- University of WaterlooCA12 papers
- Brown UniversityUS11 papers
21 papers · 1 filter
Kummer Surfaces, Isogenies and Theta Functions
Adrian Clingher, Andreas Malmendier, Tony Shaska
The paper discusses geometric and computational aspects associated with -isogenies for principally polarized Abelian surfaces and related Kummer surfaces. We start by review…
Machine learning for moduli space of genus two curves and an application to isogeny based cryptography
Elira Shaska, Tony Shaska
We use machine learning to study the moduli space of genus two curves, specifically focusing on detecting whether a genus two curve has -split Jacobian. Based on such techn…
Vojta's conjecture on weighted projective varieties
Sajad Salami, Tony Shaska
We formulate Vojta's conjecture for smooth weighted projective varieties, weighted multiplier ideal sheaves, and weighted log pairs and prove that all three versions of the conject…
Superelliptic curves with many automorphisms and CM Jacobians
Andrew Obus, Tony Shaska
Let be a smooth, projective, genus curve, defined over . Then has \emph{many automorphisms} if its corresponding moduli point $p \…
Geometry of Prym varieties for special bielliptic curves of genus three and five
Adrian Clingher, Andreas Malmendier, Tony Shaska
We construct two pencils of bielliptic curves of genus three and genus five. The first pencil is associated with a general abelian surface with a polarization of type . The…
From hyperelliptic to superelliptic curves
Andreas Malmendier, Tony Shaska
In this long survey article we show that the theory of elliptic and hyperelliptic curves can be extended naturally to all superelliptic curves. We focus on automorphism groups, str…