A Fano compactification of the SL 2(C) free group character variety

Joseph Cummings; Christopher Manon

doi:10.1007/s10711-023-00867-y

A Fano compactification of the SL ₂(C) free group character variety

Joseph Cummings, Christopher Manon

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We show that a certain compactification X_g of the SL ₂(C) free group character variety X(F_g, SL ₂(C)) is Fano. This compactification has been studied previously by the second author, and separately by Biswas, Lawton, and Ramras. Part of the proof of this result involves the construction of a large family of integral reflexive polytopes.

Original language	English
Article number	17
Journal	Geometriae Dedicata
Volume	218
Issue number	1
DOIs	https://doi.org/10.1007/s10711-023-00867-y
State	Published - Feb 2024

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer Nature B.V.

Keywords

Character variety
Fano
Reflexive polytope
Toric degeneration

ASJC Scopus subject areas

Geometry and Topology

Access to Document

10.1007/s10711-023-00867-y

Cite this

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