Positivity of Chern classes of Schubert cells and varieties

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Abstract

We show that the Chern-Schwartz-MacPherson class of a Schubert cell in a Grassmannian is represented by a reduced and irreducible subvariety in each degree. This gives an affirmative answer to a positivity conjecture of Aluffi and Mihalcea.

Original languageEnglish (US)
Pages (from-to)177-190
Number of pages14
JournalJournal of Algebraic Geometry
Volume25
Issue number1
DOIs
StatePublished - 2016

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Geometry and Topology

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