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Mixed discriminants
Mixed discriminants
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Cattani, Eduardo (author)
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Cueto, Maria Angelica (author)
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Dickenstein, Alicia (author)
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- Di Rocco, Sandra (author)
- KTH,Matematik (Avd.)
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Sturmfels, Bernd (author)
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KTH Matematik (Avd) (creator_code:org_t)
- 2012-11-20
- 2013
- English.
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In: Mathematische Zeitschrift. - : Springer Science and Business Media LLC. - 0025-5874 .- 1432-1823. ; 274:3-4, s. 761-778
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- The mixed discriminant of Laurent polynomials in variables is the irreducible polynomial in the coefficients which vanishes whenever two of the roots coincide. The Cayley trick expresses the mixed discriminant as an -discriminant. We show that the degree of the mixed discriminant is a piecewise linear function in the Plucker coordinates of a mixed Grassmannian. An explicit degree formula is given for the case of plane curves.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- A-discriminant
- Degree
- Multiple root
- Cayley polytope
- Tropical discriminant
- Matroid strata
- Mixed Grassmannian
Publication and Content Type
- ref (subject category)
- art (subject category)
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