arXiv Analytics

Sign in

arXiv:1403.3990 [math.AG]AbstractReferencesReviewsResources

Newton-Okounkov polyhedra for character varieties and configuration spaces

Christopher Manon

Published 2014-03-17, updated 2016-07-13Version 2

We construct families of Newton-Okounkov bodies for the free group character varieties and configuration spaces of any connected reductive group. We use this construction to give a proof that these spaces are Cohen-Macaulay.

Comments: 26 pages, 9 figures, published version
Journal: Trans. Amer. Math. Soc. 368 (2016), 5979-6003
Categories: math.AG
Subjects: 14M25, 05E10, 14M15
Related articles: Most relevant | Search more
arXiv:1101.1687 [math.AG] (Published 2011-01-09, updated 2014-11-09)
Crystal bases and Newton-Okounkov bodies
arXiv:2411.10276 [math.AG] (Published 2024-11-15)
Chevalley Polytopes and Newton-Okounkov Bodies
arXiv:1410.0072 [math.AG] (Published 2014-09-30)
Toric geometry of $SL_2(\mathbb{C})$ free group character varieties from outer space