From the 1 of 7 linked papers with an AI index.
7 papers
On the boundedness of elliptic Calabi-Yau 4-folds
Stefano Filipazzi, Fulin Xu
The paper proves that most elliptic Calabi‑Yau 4‑folds belong to finitely many algebraic families, except those that are crepant quotients of a product of a Calabi‑Yau 3‑fold with…
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…
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…
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…
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…
On semi-ampleness of the moduli part
Stefano Filipazzi, Calum Spicer
We discuss a conjecture of Shokurov on the semi-ampleness of the moduli part of a general fibration.