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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 264, Pages 212–223 (Mi tm812)  
This article is cited in 2 scientific papers (total in 2 papers)

Absolutely Simple Prymians of Trigonal Curves

Yu. G. Zarhinab

a Institute of Mathematical Problems of Biology, Russian Academy of Sciences, Moscow region, Pushchino, Russia
b Pennsylvania State University, Department of Mathematics, University Park, PA, USA
Full-text PDF (218 kB) Citations (2)
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Abstract: Using Galois theory, we explicitly construct absolutely simple (principally polarized) Prym varieties that are not isomorphic to jacobians of curves even if we ignore the polarizations.
Received in September 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 264, Pages 204–215
DOI: https://doi.org/10.1134/S0081543809010210
Bibliographic databases:
UDC: 512.7
Language: Russian
Citation: Yu. G. Zarhin, “Absolutely Simple Prymians of Trigonal Curves”, Multidimensional algebraic geometry, Collected papers. Dedicated to the Memory of Vasilii Alekseevich Iskovskikh, Corresponding Member of the Russian Academy of Sciences, Trudy Mat. Inst. Steklova, 264, MAIK Nauka/Interperiodica, Moscow, 2009, 212–223; Proc. Steklov Inst. Math., 264 (2009), 204–215
Citation in format AMSBIB
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\paper Absolutely Simple Prymians of Trigonal Curves
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\bookinfo Collected papers. Dedicated to the Memory of Vasilii Alekseevich Iskovskikh, Corresponding Member of the Russian Academy of Sciences
\serial Trudy Mat. Inst. Steklova
\yr 2009
\vol 264
\pages 212--223
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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  • https://www.mathnet.ru/eng/tm812
  • https://www.mathnet.ru/eng/tm/v264/p212
    • This publication is cited in the following 2 articles:
    1. Zarhin Yu.G., “Endomorphism Algebras of Abelian Varieties With Special Reference to Superelliptic Jacobians”, Geometry, Algebra, Number Theory, and Their Information Technology Applications, Springer Proceedings in Mathematics & Statistics, 251, eds. Akbary A., Gun S., Springer, 2018, 477–528  crossref  mathscinet  isi  scopus
    2. He G., Geng X., Wu L., “Algebro-Geometric Quasi-Periodic Solutions to the Three-Wave Resonant Interaction Hierarchy”, SIAM J. Math. Anal., 46:2 (2014), 1348–1384  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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