Rota’s conjecture, the missing axiom, and prime cycles in toric varieties

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Scopus citations

Abstract

Rota’s conjecture predicts that the coefficients of the characteristic polynomial of a matroid form a log-concave sequence. I will outline a proof for representable matroids using Milnor numbers and the Bergman fan. The same approach to the conjecture in the general case (for possibly non-representable matroids) leads to several intriguing questions on higher codimension algebraic cycles in toric varieties.

Original languageEnglish (US)
Title of host publicationSpringer INdAM Series
PublisherSpringer International Publishing
Pages59-62
Number of pages4
DOIs
StatePublished - 2015

Publication series

NameSpringer INdAM Series
Volume12
ISSN (Print)2281-518X
ISSN (Electronic)2281-5198

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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