Geodesic
Multiplicities of degenerations of matrices and mixed volumes of Cayley polyhedra
Journal of Singularities, Tome 6 (2012), pp. 27-36

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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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     author = {Alexander Esterov},
     title = {Multiplicities of degenerations of matrices and mixed volumes of {Cayley} polyhedra},
     journal = {Journal of Singularities},
     pages = {27--36},
     publisher = {mathdoc},
     volume = {6},
     year = {2012},
     doi = {10.5427/jsing.2012.6d},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2012.6d/}
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Alexander Esterov. Multiplicities of degenerations of matrices and mixed volumes of Cayley polyhedra. Journal of Singularities, Tome 6 (2012), pp. 27-36. doi: 10.5427/jsing.2012.6d

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