Newton polytopes and symmetric Grothendieck polynomials

Laura Escobar, Alexander Yong

Research output: Contribution to journalArticlepeer-review


Symmetric Grothendieck polynomials are inhomogeneous versions of Schur polynomials that arise in combinatorial K-theory. A polynomial has saturated Newton polytope (SNP) if every lattice point in the polytope is an exponent vector. We show that the Newton polytopes of these Grothendieck polynomials and their homogeneous components have SNP. Moreover, the Newton polytope of each homogeneous component is a permutahedron. This addresses recent conjectures of C. Monical–N. Tokcan–A. Yong and of A. Fink–K. Mészáros–A. St. Dizier in this special case.

Original languageEnglish (US)
Pages (from-to)831-834
Number of pages4
JournalComptes Rendus Mathematique
Issue number8
StatePublished - Aug 2017

ASJC Scopus subject areas

  • General Mathematics


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