Matthew Stover

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math.GT2026

A hyperbolic $4$ -orbifold with underlying space $P^{2}$

Matthew Stover

This paper shows that the complex projective plane $P^{2}$ can be realized as the underlying space for a closed hyperbolic $4$ -orbifold. This is the first example of a close…

math.GT2025

Finite groups and complex projective surfaces

Alexander Lubotzky, Matthew Stover

In response to a question raised by Belolipetsky and the first author, we prove that for every finite group $G$ there are infinitely many isomorphism classes of compact complex hyp…

math.GT2025

Complex hyperbolic 2-orbifolds with isolated singularities

Alan W. Reid, Matthew Stover

For each prime $p$ , this paper constructs compact complex hyperbolic $2$ -manifolds with an isometric action of $Z / p Z$ that is not free and has only isolated fi…

A hyperbolic 4-orbifold with underlying space P2

Finite groups and complex projective surfaces

Complex hyperbolic 2-orbifolds with isolated singularities

A hyperbolic $4$ -orbifold with underlying space $P^{2}$