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On the group algebra decomposition of a Jacobian variety
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering. University of Chile, Chile.
2016 (English)In: REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, ISSN 1578-7303, Vol. 110, no 1, 185-199 p.Article in journal (Refereed) PublishedText
Abstract [en]

Given a compact Riemann surface X with an action of a finite group G, the group algebra provides an isogenous decomposition of its Jacobian variety JX, known as the group algebra decomposition of JX. We obtain a method to concretely build a decomposition of this kind. Our method allows us to study the geometry of the decomposition. For instance, we build several decompositions in order to determine which one has kernel of smallest order. We apply this method to families of trigonal curves up to genus 10.

Place, publisher, year, edition, pages
SPRINGER-VERLAG ITALIA SRL , 2016. Vol. 110, no 1, 185-199 p.
Keyword [en]
Jacobians; Decomposable Jacobians; Riemann surfaces; Group algebra decomposition
National Category
Mathematics Algebra and Logic Mathematical Analysis
URN: urn:nbn:se:liu:diva-126130DOI: 10.1007/s13398-015-0226-6ISI: 000370843300013OAI: diva2:912064

Funding Agencies|Fondecyt [1100113]; Conicyt

Available from: 2016-03-15 Created: 2016-03-15 Last updated: 2016-04-05

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Jimenez, Leslie
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