On some Galois covers of the Suzuki and Ree curves
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2017.12.005
Abstract: Abstract We investigate two families S ˜ q and R ˜ q of maximal curves over finite fields recently constructed by Skabelund as cyclic covers of the Suzuki and Ree curves. We show that S… read more here.
Keywords: ree curves; covers suzuki; galois covers; suzuki ree ... See more keywords
Decomposing Jacobians Via Galois covers
Sign Up to like & getrecommendations! Published in 2021 at "Experimental Mathematics"
DOI: 10.1080/10586458.2021.1926008
Abstract: Let φ : X → Y be a (possibly ramied) cover between two algebraic curves of positive genus. We develop tools that may identify the Prym variety of φ, up to isogeny, as the Jacobian… read more here.
Keywords: decomposing jacobians; galois covers; galois; jacobians via ... See more keywords