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.

Funding

Funders	Funder number
Center for Hierarchical Manufacturing, National Science Foundation
Center for Selective C-H Functionalization, National Science Foundation
National Science Foundation Arctic Social Science Program	DMS 2101911
Simons Foundation	598209

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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abstract = "We show that a certain compactification Xg of the SL 2(C) free group character variety X(Fg, 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.",

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