Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ON TROPICAL QUADRIC SURFACES

  • KIM, YONGGU (Department of Mathematics Education Chonnam National University)
  • Received : 2006.03.06
  • Published : 2006.03.31
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Abstract

After introducing Tropical Algebraic Varieties, we give a polyhedral description of tropical hypersurfaces. Using TOPCOM and GAP, we show that there exist 59 types of two dimensional tropical quadric surfaces. We also show a criterion for a quadric hypersurface to be non-degenerate in terms of a tropical rank.

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