3 papers
math.DS2026
Universal affine bundles for compact complex manifolds
Simion Filip, Valentino Tosatti
We construct a universal affine bundle over a compact complex manifold equipped with a probability measure , which is affine over the vector space $H_{1,1}(X;\mathbb{R}…
math.DS2026
Nonlinearizable embeddings of elliptic curves in rational surfaces
Simion Filip, Valentino Tosatti
We show that for any smooth cubic in , there exists a dense set of configurations of 9 distinct points such that blowing up at these 9 points, t…
math.AG2025
The volume of a divisor and cusp excursions of geodesics in hyperbolic manifolds
Simion Filip, John Lesieutre, Valentino Tosatti
We give a complete description of the behavior of the volume function at the boundary of the pseudoeffective cone of certain Calabi-Yau complete intersections known as Wehler N-fol…