Large automorphism groups of ordinary curves in characteristic 2

Autor:	Maria Montanucci, Pietro Speziali
Rok vydání:	2019
Předmět:	Pure mathematics Algebra and Number Theory Genus (mathematics) 010102 general mathematics 0103 physical sciences 010307 mathematical physics 0101 mathematics Algebraically closed field Automorphism 01 natural sciences Mathematics
Zdroj:	Journal of Algebra. 526:30-50
ISSN:	0021-8693
Popis:	Let X be a (projective, non-singular, irreducible) curve of even genus g ( X ) ≥ 2 defined over an algebraically closed field K of characteristic p. If the p-rank γ ( X ) equals g ( X ) , then X is ordinary. In this paper, we deal with large automorphism groups G of ordinary curves. Under the hypotheses that p = 2 , g ( X ) is even and G is solvable, we prove that | G | 35 ( g ( X ) + 1 ) 3 / 2 .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::84c6e842921bd50c2a019417c3b05a62 https://doi.org/10.1016/j.jalgebra.2019.01.026 Zobrazit plný text záznamu Full Text from ScienceDirect