Examples of k-regular maps and interpolation spaces

Research output: Contribution to journalArticleScientificpeer-review

Details

Original languageEnglish
Pages (from-to)94-108
Number of pages15
JournalLinear Algebra and Its Applications
Volume530
Publication statusPublished - 1 Oct 2017
MoE publication typeA1 Journal article-refereed

Researchers

Research units

  • Univ Calif Berkeley, University of California System, University of California Berkeley, Dept Math
  • ree University of Berlin
  • Polish Acad Sci, Institute of Mathematics of the Polish Academy of Sciences, Polish Academy of Sciences, Inst Math

Abstract

A continuous map f : C-n -> C-N is k-regular if the image of any k distinct points spans a k-dimensional subspace. It is an important problem in topology and interpolation theory, going back to Borsuk and Chebyshev, to construct k-regular maps with small N, and only a few nontrivial examples are known so far. Applying tools from algebraic geometry we construct a 4-regular polynomial map C-3 -> C-11 and a 5-regular polynomial map C-3 -> C-14. (C) 2017 Elsevier Inc. All rights reserved.

    Research areas

  • Interpolation spaces, k-regular map, Areole, GORENSTEIN LOCI

ID: 30273252