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Generalising Kapranov's theorem for tropical geometry over hyperfields
Journal of Algebra, Volume: 638, Pages: 441 - 464
Swansea University Author: James Maxwell
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DOI (Published version): 10.1016/j.jalgebra.2023.09.018
Abstract
Kapranov's theorem is a foundational result in tropical geometry. It states that the set of tropicalisations of points on a hypersurface coincides precisely with the tropical variety of the tropicalisation of the defining polynomial.
Published in: | Journal of Algebra |
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ISSN: | 0021-8693 1090-266X |
Published: |
Elsevier BV
2024
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Online Access: |
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URI: | https://cronfa.swan.ac.uk/Record/cronfa64706 |
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Abstract: |
Kapranov's theorem is a foundational result in tropical geometry. It states that the set of tropicalisations of points on a hypersurface coincides precisely with the tropical variety of the tropicalisation of the defining polynomial. |
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Keywords: |
Hyperfield, Hyperoperation, Polynomials, Varieties, RAC |
College: |
Faculty of Science and Engineering |
Funders: |
UKRI, EP/R51312X/1 |
Start Page: |
441 |
End Page: |
464 |