Savage Surfaces
Sergio Troncoso, Giancarlo Urz\'ua

TL;DR
This paper proves that for any given fundamental group of a complex projective surface, the Chern slopes of minimal surfaces with that group are densely distributed between 1 and 3.
Contribution
It establishes the density of Chern slopes in [1,3] for minimal surfaces of general type with a fixed fundamental group.
Findings
Chern slopes are dense in [1,3] for given fundamental groups.
The result applies to minimal nonsingular projective surfaces of general type.
Provides new insights into the geography of complex surfaces.
Abstract
Let be the topological fundamental group of a given nonsingular complex projective surface. We prove that the Chern slopes of minimal nonsingular projective surfaces of general type with are dense in the interval .
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Geometric and Algebraic Topology
