Computing Singular Elements Modulo Squares

• Autorzy: Koprowski Przemysław

Identyfikatory

DOI

10.3233/FI-2021-2022

• Języki publikacji: EN

Abstrakty

EN

The group of singular elements was first introduced by Helmut Hasse and later it has been studied by numerous authors including such well known mathematicians as: Cassels, Furtwängler, Hecke, Knebusch, Takagi and of course Hasse himself; to name just a few. The aim of the present paper is to present algorithms that explicitly construct groups of singular and S-singular elements (modulo squares) in a global function field.

Słowa kluczowe

EN

global function fields; Picard group; singular element; square classes

• Wydawca: IOS Press
• Czasopismo: Fundamenta Informaticae
• Rocznik: 2021
• Tom: Vol. 179, nr 3
• Strony: 227--338
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Koprowski Przemysław

• Institute of Mathematics, University of Silesia, Bankowa 14, 40-007 Katowice, Poland

Bibliografia

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• [6] Hess F. Computing relations in divisor class groups of algebraic curves over finite fields, 2007. Preprint http://www.staff.uni-oldenburg.de/florian.hess/publications/dlog.pdf.
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• [8] Czogała A, Koprowski P, Rothkegel B. Wild sets in global function fields. Math. Slovaca, 2020. 70(2):259-272. doi:10.1515/ms-2017-0349.
• [9] Czogała A, Koprowski P, Rothkegel B. Wild and even points in global function fields. Colloq. Math., 2018. 154(2):275-294. doi:10.4064/cm6979-1-2018.
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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).