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arXiv · 1808.02779

Convex projective manifolds with a cusp of any non-diagonalizable type

Martin D. Bobb
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Abstract

Recent work of Ballas, Cooper, and Leitner identifies $(n+1)$ types of $n$-dimensional convex projective cusps, one of which is the standard hyperbolic cusp. Work of Ballas-Marquis, and Ballas-Danciger-Lee give examples of these exotic (non-hyperbolic) type cusps in dimension $3$. Here an extension of the techniques of Ballas-Marquis shows the existence of all cusp types in all dimensions, except diagonalizable (type $n$).

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Martin D. Bobb. 2019-01-03. Convex projective manifolds with a cusp of any non-diagonalizable type. https://doi.org/10.1112/jlms.12208

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