Okounkov bodies and transfinite diameter
Sione Ma`u
TL;DR
This paper explicitly calculates Okounkov bodies for algebraic varieties and uses these to derive a formula for transfinite diameter, connecting it to recent mathematical results.
Contribution
It provides an explicit computation of Okounkov bodies and links them to transfinite diameter, advancing understanding in algebraic geometry and potential theory.
Findings
Explicit calculation of Okounkov bodies for algebraic varieties
Derived a formula for transfinite diameter on the variety
Connected the formula to recent results by D. Witt Nystrom
Abstract
We present an explicit calculation of an Okounkov body associated to an algebraic variety. This is used to derive a formula for transfinite diameter on the variety. We relate this formula to a recent result of D. Witt Nystrom.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Mathematical Dynamics and Fractals