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Discrete & Computational Geometry, 2020 v1: 23 pages, 3 figures; v2: 25 pages, 4 figures, stronger results in Section 4 + new example + minor revisions; v3: 31 pages, 4 figures, new theorem in Section 5 + more discussion in Sections 2 and ...
Allamigeon, Xavier +2 more
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Tropical Ehrhart theory and tropical volume [PDF]
Research in the Mathematical Sciences, 2020 AbstractWe introduce a novel intrinsic volume concept in tropical geometry. This is achieved by developing the foundations of a tropical analog of lattice point counting in polytopes. We exhibit the basic properties and compare it to existing measures. Our exposition is complemented by a brief study of arising complexity questions.
Georg Loho, Matthias Schymura
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Tropical moments of tropical Jacobians
Canadian Journal of Mathematics, 2022 AbstractEach metric graph has canonically associated to it a polarized real torus called its tropical Jacobian. A fundamental real-valued invariant associated to each polarized real torus is its tropical moment. We give an explicit and efficiently computable formula for the tropical moment of a tropical Jacobian in terms of potential theory on the ...
Robin de Jong, Farbod Shokrieh
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Compositio Mathematica, 2018 We introduce and study a special class of ideals, called tropical ideals, in the semiring of tropical polynomials, with the goal of developing a useful and solid algebraic foundation for tropical geometry. The class of tropical ideals strictly includes the tropicalizations of classical ideals, and allows us to define subschemes of tropical toric ...
Maclagan, Diane, Rincon, Felipe
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Scientific Reports, 2022 Decentralized rainwater harvesting (RWH) is a promising approach to mitigate drought in the drylands. However, an insufficient understanding of its impact on hydrological processes has resulted in poor resource planning in this area. This study is a meta-
Kaushal K. Garg +5 more
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Journal of Plant Interactions, 2021 Aspergillus flavus is an opportunistic fungal pathogen that produces carcinogenic aflatoxin, a serious constraint for food safety and human health. In this study, to better understand the molecular mechanism/s of peanut resistance to A. flavus growth and
Pooja Bhatnagar-Mathur +6 more
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Journal of the American Mathematical Society, 2007 Tropical geometry is used to develop a new approach to the theory of discriminants and resultants in the sense of Gel ′ ’ fand, Kapranov and Zelevinsky. The tropical A A -discriminant is the tropicalization of the dual variety of the projective toric variety given by an integer matrix A A
Dickenstein, A. +2 more
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Scientific Reports, 2021 An amendment to this paper has been published and can be accessed via a link at the top of the paper.
Mahalingam Govindaraj +5 more
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Agriculture & Food Security, 2022 Background Agri-innovations are mostly delivered to farmers through private and public sector-led institutions around the world, with various degrees of success in Malawi.
Patrick Okori +12 more
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