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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 264, Pages 129–136 (Mi tm811)  
This article is cited in 2 scientific papers (total in 2 papers)

Stable Higgs Bundles with Trivial Chern Classes. Several Examples

Y. Miyaoka

School of Mathematical Sciences, University of Tokyo, Tokyo, Japan
Full-text PDF (193 kB) Citations (2)
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Abstract: We propose a new interpretation of Higgs bundles as vector bundles together with actions of the symmetric tangent tensor algebra. Via this interpretation, we construct new nontrivial examples of stable Higgs bundles with vanishing Chern classes.
Received in August 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 264, Pages 123–130
DOI: https://doi.org/10.1134/S0081543809010155
Bibliographic databases:
UDC: 512.7
Language: English
Citation: Y. Miyaoka, “Stable Higgs Bundles with Trivial Chern Classes. Several Examples”, 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, 129–136; Proc. Steklov Inst. Math., 264 (2009), 123–130
Citation in format AMSBIB
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\by Y.~Miyaoka
\paper Stable Higgs Bundles with Trivial Chern Classes. Several Examples
\inbook Multidimensional algebraic geometry
\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 129--136
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\jour Proc. Steklov Inst. Math.
\yr 2009
\vol 264
\pages 123--130
\crossref{https://doi.org/10.1134/S0081543809010155}
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  • https://www.mathnet.ru/eng/tm811
  • https://www.mathnet.ru/eng/tm/v264/p129
    • This publication is cited in the following 2 articles:
    1. Biswas I., Rayan S., “A Vanishing Theorem For Co-Higgs Bundles on the Moduli Space of Bundles”, Geod. Dedic., 193:1 (2018), 145–154  crossref  mathscinet  zmath  isi  scopus
    2. Klingler B., “Symmetric Differentials, Kahler Groups and Ball Quotients”, Invent. Math., 192:2 (2013), 257–286  crossref  mathscinet  zmath  isi  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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    Abstract page:239
    Full-text PDF :97
    References:66
     
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