Automorphisms groups of genus 3 curves

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This survey presents main ideas needed for obtaining the list of all non-trivial groups G that appear as automorphism group of a non-hyperelliptic genus 3 curve over an algebraic closed field of zero characteristic and concerning equations of genus 3 curves with exact automorphism group G.
Original languageEnglish
Pages (from-to)0083-124
Number of pages42
JournalSurveys in Mathematics and Mathematical Sciences
Issue number2
Publication statusPublished - 2012


  • Genus 3
  • Algebraic curves
  • Automorphic groups


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