On algebraic curves $$$$ of genus zero
Sign Up to like & getrecommendations! Published in 2018 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-017-1889-9
Abstract: Using a geometric approach involving Riemann surface orbifolds, we provide lower bounds for the genus of an irreducible algebraic curve of the form $$\mathcal {E}_{A,B}:\, A(x)-B(y)=0$$ , where $$A, B\in \mathbb {C}(z)$$ . We also… read more here.
Keywords: genus zero; algebraic curves; curves genus;
Bielliptic curves of genus three and the Torelli problem for certain elliptic surfaces
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2019.04.009
Abstract: Abstract We study the Hodge structure of elliptic surfaces which are canonically defined from bielliptic curves of genus three. We prove that the period map for the second cohomology has one dimensional fibers, and the… read more here.
Keywords: genus three; hodge structure; curves genus; bielliptic curves ... See more keywords
Automorphism groups of superspecial curves of genus 4 overF11
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2020.106339
Abstract: Abstract In this paper, we explicitly determine the automorphism group of every nonhyperelliptic superspecial curve of genus 4 over F 11 . Our algorithm determining automorphism groups works for any nonhyperelliptic curve of genus 4… read more here.
Keywords: curves genus; superspecial curves; genus overf11; automorphism groups ... See more keywords