Gorai, S. "A New Class of Smooth Algebraic Varieties with the Density Property and a Counterexample to the Tóth-Varolin Conjecture."
20 Oct 2026. https://arxiv.org/abs/2610.27660.Varolin,
D. "The Density Property for Complex Manifolds and Geometric Structures."
J. Geom. Anal.11, 135-160, 2001. https://doi.org/10.1007/BF02921959.
means that the Lie algebra generated by its complete
holomorphic vector fields is dense in the Lie
algebra of all holomorphic vector fields, in
the compact-open topology. A holomorphic
vector field is complete here if its flow exists
for every complex time. This is a condition on the abundance of holomorphic transformations,
not on the topological denseness of a subset.
and having the holomorphic density property must be biholomorphic
to 
(Gorai 2026).
