5 citations · 8 across the 11 of their papers we have counts for
25 papers · 1 filter
On the boundedness of elliptic Calabi-Yau 4-folds
Stefano Filipazzi, Fulin Xu
In this work, we settle the boundedness of a vast class of elliptic Calabi-Yau 4-folds. In particular, we show that any elliptic Calabi-Yau 4-fold that is not crepant to the quotie…
Deformations of fibered Calabi--Yau varieties
Benjamin Bakker, Kristin DeVleming, Stefano Filipazzi +5
Kollár showed that small deformations of elliptically fibered smooth -torsion varieties with remain elliptically fibered. We extend this result to any f…
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 . This invariant compares with the sum of the coefficients of nef partitions of . We prove that the nef…
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…
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…
A strong counterexample to the log canonical Beauville--Bogomolov decomposition
Fabio Bernasconi, Stefano Filipazzi, Zsolt Patakfalvi +1
For every , we construct a -dimensional, log canonical, -trivial variety with the property that two general fibers of its Albanese morphism are not birational. This…