Open Access
November 2009 Tropical algebraic geometry
Shinsuke ODAGIRI
Hokkaido Math. J. 38(4): 771-795 (November 2009). DOI: 10.14492/hokmj/1258554243

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.

Citation

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Shinsuke ODAGIRI. "Tropical algebraic geometry." Hokkaido Math. J. 38 (4) 771 - 795, November 2009. https://doi.org/10.14492/hokmj/1258554243

Information

Published: November 2009
First available in Project Euclid: 18 November 2009

zbMATH: 1181.14069
MathSciNet: MR2561959
Digital Object Identifier: 10.14492/hokmj/1258554243

Subjects:
Primary: 14M99
Secondary: 12K10

Keywords: max-plus algebra , Tropical geometry , tropical hypersurface , tropical semiring

Rights: Copyright © 2009 Hokkaido University, Department of Mathematics

Vol.38 • No. 4 • November 2009
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