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math.AG2025
Deformations of maps with fixed target and curvature of direct image bundles
Luca Rizzi
Consider a smooth proper holomorphic fibration of complex manifolds. It is known that the semipositivity of the curvature of the direct image of the relative canonical bundle can b…
math.AG2024
Quantitative approximate definable choices
Antonio Lerario, Luca Rizzi, Daniele Tiberio
In semialgebraic geometry, projections play a prominent role. A definable choice is a semialgebraic selection of one point in every fiber of a projection. Definable choices exist b…