Hokkaido Mathematical Journal

ODAGIRI Shinsuke,

Tropical algebraic geometry.

Hokkaido Mathematical Journal, 38 () pp.771-795

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Abstract

The construction of a tropical hypersurface is given by modeling the classical construction of a complex hypersurface. A tropical meromorphic function of finite type is shown to be a tropical rational function. One also has tropical nullstellensatz.

MSC(Primary)
MSC(Secondary)14M99(MSC2000), 12K10(MSC2000)
Uncontrolled Keywordstropical hypersurface; tropical geometry; tropical semiring; max-plus algebra;