A relation between number of integral points, volumes of faces and degree of the discriminant of smooth lattice polytopes (Q412574)
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scientific article; zbMATH DE number 6030540
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A relation between number of integral points, volumes of faces and degree of the discriminant of smooth lattice polytopes |
scientific article; zbMATH DE number 6030540 |
Statements
A relation between number of integral points, volumes of faces and degree of the discriminant of smooth lattice polytopes (English)
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4 May 2012
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The authors present a formula for the degree of the discriminant of a smooth projective toric variety associated to a lattice polytope \(P\) in terms of the number of integral points in the interior of dilates of faces of dimension greater than or equal to \(\lceil\frac{\dim P}{2}\rceil\).
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lattice polytopes
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lattice volumes of faces
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degree of the discriminant of a smooth projective toric variety
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number of integral points
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0.87050736
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0.8649852
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0.8645692
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0.8638404
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0.85888475
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