A Fano compactification of the \(\mathrm{SL}_2(\mathbb{C})\) free group character variety

DOI10.1007/s10711-023-00867-yzbMath1529.14030arXiv2209.02766OpenAlexW4388932230MaRDI QIDQ6183205

Joseph Cummings, Christopher Manon

Publication date: 26 January 2024

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.02766

zbMATH Keywords

character varietyreflexive polytopeFanotoric degeneration

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Fano varieties (14J45) Compactifications; symmetric and spherical varieties (14M27) Character varieties (14M35)

Cites Work

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• Character varieties of free groups are Gorenstein but not always factorial
• The dual boundary complex of the \(SL_2\) character variety of a punctured sphere
• Presentations of semigroup algebras of weighted trees
• The equations for the moduli space of \(n\) points on the line
• Moduli of representations of the fundamental group of a smooth projective variety. I
• Grothendieck duality and base change
• Moduli of representations of the fundamental group of a smooth projective variety. II
• The algebra of conformal blocks
• Wonderful compactification of character varieties
• Global geometry on moduli of local systems for surfaces with boundary
• Khovanskii Bases, Higher Rank Valuations, and Tropical Geometry
• Toric Geometry ofSL₂(ℂ) Free Group Character Varieties from Outer Space

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