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

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Scopus citations


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
Number of pages4
StatePublished - 2015

Publication series

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

All Science Journal Classification (ASJC) codes

  • General Mathematics


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