Smooth tropical complete intersection curves of genus 3 in R3

• Sukenaga, Masayuki ^[1]
  1. [1] Hiroshima University

     Hiroshima University

     Naka-ku, Japón

     
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 74, Fasc. 3, 2023, págs. 753-793
• Idioma: inglés
• DOI: 10.1007/s13348-022-00372-7
• Texto completo no disponible (Saber más ...)
• Resumen

  • We develop a method for describing the tropical complete intersection of a tropical hypersurface and a tropical plane in R3. This involves a method for determining the topological type of the intersection of a tropical plane curve and R2≤0 by using a polyhedral complex. As an application, we study smooth tropical complete intersection curves of genus 3 in R3. In particular, we show that there are no smooth tropical complete intersection curves in R3 whose skeletons are the lollipop graph of genus 3. This gives a partial answer to a problem of Morrison in [6].