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

Producción científica: Article › revisión exhaustiva

Resumen

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.

Idioma original	English
Número de artículo	17
Publicación	Geometriae Dedicata
Volumen	218
N.º	1
DOI	https://doi.org/10.1007/s10711-023-00867-y
Estado	Published - feb 2024

Nota bibliográfica

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

Financiación

Financiadores	Número del financiador
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

ASJC Scopus subject areas

Geometry and Topology

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10.1007/s10711-023-00867-y

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KW - Reflexive polytope

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