On real forms of a Belyi action of the alternating groups
C. Bagiński , J. J. Etayo , Grzegorz Gromadzki , E. Martínez
AbstractIn virtue of the Belyi Theorem a complex algebraic curve can bedefined over the algebraic numbers if and only if the corresponding Riemannsurface can be uniformized by a subgroup of a Fuchsian triangle group. Suchsurfaces are known as Belyi surfaces. Here we study certain natural actionsof the alternating groupsAnon them. We show that they are symmetricand calculate the number of connected components, called ovals, of the corresponding real forms. We show that all symmetries with ovals are conjugateand we calculate the number of purely imaginary real forms both in case ofAnconsidered here andSnconsidered in an earlier paper.
|Journal series||Albanian Journal of Mathematics, ISSN , e-ISSN 1930-1235, (0 pkt)|
|Publication size in sheets||0.5|
|Keywords in English||automorphisms of Riemann surfaces, Belyi actions of alternating groups, real forms of complex algebraic curves, ovals|
|Score|| = 0.0, 24-07-2019, ArticleFromJournal|
= 5.0, 24-07-2019, ArticleFromJournal - czasopismo zagraniczne spoza list
|Uwagi||Brak objętości od autora|
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