2 papers
math.GT2026
Parabolic-preserving deformations of cusped hyperbolic lattices
Samuel A. Ballas, Julien Paupert, Pierre Will
We study deformations of non-cocompact lattices of into and . A necessary condition for these deformations to remain discrete and f…
math.GT2024
Nil 3-manifolds and cusps of complex hyperbolic surfaces
Julien Paupert, Connor Sell
McReynolds showed that every compact Nil 3-manifold occurs as the cusp cross-section of some arithmetic complex hyperbolic 2-manifold. We classify which commensurability classes of…