An analog of determinant related to Parshin—Kato theory and integer polytopes |
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| Authors: | A G Khovanskii |
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| Institution: | (1) Institute of Systems Analysis, RAS, Russia;(2) Independent University of Moscow, Russia;(3) The University of Toronto, Canada |
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| Abstract: | Parshin—Kato theory involves a multilinear function of n+1 vectors in the n-dimensional vector space over the field ?/2?. The same function arises in the computation of the product in the group (?*)n of all roots of several polynomial equations with sufficiently generic Newton polytopes. We discuss this remarkable function and related geometry of integer polytopes. |
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| Keywords: | analog of determinant Parshin— Kato theory integer polytope |
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