Stefano Filipazzi

activity

20182026

collaborators

5 papers

math.AG2026

Deformations of fibered Calabi--Yau varieties

Benjamin Bakker, Kristin DeVleming, Stefano Filipazzi +5

Kollár showed that small deformations of elliptically fibered smooth $K$ -torsion varieties with $H^{2} (X, O_{X}) = 0$ remain elliptically fibered. We extend this result to any f…

math.AG2025

Characterization of products of projective spaces via nef complexity

Joshua Enwright, Stefano Filipazzi, Yoshinori Gongyo +4

We define the nef complexity of a projective variety $X$ . This invariant compares $dim X + ρ (X)$ with the sum of the coefficients of nef partitions of $- K_{X}$ . We prove that the nef…

math.AG2025

Baily--Borel compactifications of period images and the b-semiampleness conjecture

Benjamin Bakker, Stefano Filipazzi, Mirko Mauri +1

We address two questions related to the semiampleness of line bundles arising from Hodge theory. First, we prove there is a functorial compactification of the image of a period map…

math.AG2025

Boundedness of some fibered K-trivial varieties

Philip Engel, Stefano Filipazzi, François Greer +2

We prove that irreducible Calabi-Yau varieties of a fixed dimension, admitting a fibration by abelian varieties or primitive symplectic varieties of a fixed analytic deformation cl…

math.AG2018

Some remarks on the volume of log varieties

Stefano Filipazzi

In this note, using methods introduced by Hacon, McKernan and Xu, we study the accumulation points of volumes of varieties of log general type. First, we show that, if the set of b…