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abnormal geodesics 1metabelian lie groups 1polarizations 1sard property 1sub-riemannian geometry 1

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most citedSard properties for polynomial maps in infinite dimension

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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.AG2025

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…