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- W2293851949 abstract "We present a dictionary between arithmetic geometry of toric varieties and convex analysis. This correspondence allows for effective computations of arithmetic invariants of these varieties. In particular, combined with a closed formula for the integration of a class of functions over polytopes, it gives a number of new values for the height (arithmetic analog of the degree) of toric varieties, with respect to interesting metrics arising from polytopes. In some cases these heights are interpreted as the average entropy of a family of random processes." @default.
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- W2293851949 date "2015-01-01" @default.
- W2293851949 modified "2023-09-25" @default.
- W2293851949 title "Heights of Toric Varieties, Entropy and Integration over Polytopes" @default.
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- W2293851949 doi "https://doi.org/10.1007/978-3-319-25040-3_32" @default.
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