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arxiv: 1205.4344 · v1 · pith:S2PBQQH3new · submitted 2012-05-19 · 🧮 math.CO · math.AG

Multiplicities of degenerations of matrices and mixed volumes of Cayley polyhedra

classification 🧮 math.CO math.AG
keywords cayleymixedpolyhedracertaincommoncomputedegenerationsdegrees
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Using a certain Pick-type formula for the mixed volume of Cayley polyhedra, we compute the multiplicity of the isolated common zero of the maximal minors for a matrix of generic homogeneous polynomials of given degrees.

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