Author

M. F. Luza

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Preprint Aug 2026

Neighborhoods of curves with a prescribed number of foliations

Given a connected projective curve $C \subset \mathbb{P}^n$, $n \geq 2$, and an integer $0 \leq \ell \leq n$, we construct an n-dimensional (non compact) complex manifold, obtained as a neighborhood of an embedded copy of $C$, which carries exactly $\ell$ codimension one holomorphic foliations; moreover, every codimens...

M. F. Luza, Rudy Rosas · 0 citations

Preprint Aug 2026

The geography of Chern slopes with prescribed fundamental group

Let $G$ be the topological fundamental group of a nonsingular complex projective surface. Troncoso and Urz\'ua proved that the Chern slopes $c_1^2/c_2$ of minimal surfaces of general type $S$ with $\pi_1(S)\simeq G$ are dense in $[1,3]$, and left $[1/3,1)$ open. We prove that they are dense in $[1/2,3]$, an interval th...

M. F. Luza · 0 citations