PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

Copolar convexity

Volume 120 / 2017

Alexander Rashkovskii Annales Polonici Mathematici 120 (2017), 83-95 MSC: Primary 32U15; Secondary 32U20, 52A20, 52A39. DOI: 10.4064/ap170217-4-9 Published online: 13 October 2017

Abstract

We introduce a new operation, copolar addition, on unbounded convex subsets of the positive orthant of ${\mathbb R}^n$ and establish convexity of the covolumes of the corresponding convex combinations. The proof is based on a technique of geodesics of plurisubharmonic functions. As an application, we show that there are no relative extremal functions inside a nonconstant geodesic curve between two toric relative extremal functions.

Authors

  • Alexander RashkovskiiTek/Nat
    University of Stavanger
    4036 Stavanger, Norway
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image