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math.AG2025
Birationally integrable vector fields on complex projective surfaces
David MarÃn, Marcel Nicolau
A rational vector field on a complex projective smooth surface is said to be birationally integrable if it generates, by integration, a one-parameter subgroup of the group $\op…
math.AG2025
Indices of holomorphic foliations and the bifurcation conjecture
Maycol Falla Luza, Arturo Fernández-Pérez, David MarÃn +1
In this paper, we revisit local invariants (Gómez-Mont-Seade-Verjovsky, variation, Camacho-Sad and Baum-Bott indices) associated with singular holomorphic foliations on $(\mathbb{…