호남수학학술지 (Honam Mathematical Journal)
- 제28권1호
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- Pages.83-111
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- 2006
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- 1225-293X(pISSN)
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- 2288-6176(eISSN)
ON TROPICAL QUADRIC SURFACES
- KIM, YONGGU (Department of Mathematics Education Chonnam National University)
- 투고 : 2006.03.06
- 발행 : 2006.03.31
초록
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.