Convex Floating Bodies as Approximations of Bergman Sublevel Sets on Tube Domains

Purvi Gupta

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arXiv · 1604.02635

Convex Floating Bodies as Approximations of Bergman Sublevel Sets on Tube Domains

Purvi Gupta

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Abstract

For a pseudoconvex tube domain, we prove estimates that relate the sublevel sets of its diagonal Bergman kernel to the floating bodies of its convex base. This allows us to associate a new affine invariant to any convex body.

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Purvi Gupta. 2016-04-10. Convex Floating Bodies as Approximations of Bergman Sublevel Sets on Tube Domains. https://arxiv.org/abs/1604.02635

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