28 citations · 117 across the 25 of their papers we have counts for
25 papers
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…
Rational points on 3-folds with nef anti-canonical class over finite fields
Fabio Bernasconi, Stefano Filipazzi
We prove that a geometrically integral smooth 3-fold with nef anti-canonical class and negative Kodaira dimension over a finite field of characteristic and…
Arithmetic and geometric deformations of 3-folds
Fabio Bernasconi, Iacopo Brivio, Stefano Filipazzi
We show that mixed-characteristic and equi-characteristic small deformations of 3-dimensional canonical (resp. terminal) singularities with perfect residue field of characteristic…
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.
Complements and coregularity of Fano varieties
Fernando Figueroa, Stefano Filipazzi, Joaquín Moraga +1
We study the relation between the coregularity, the index of log Calabi-Yau pairs, and the complements of Fano varieties. We show that the index of a log Calabi-Yau pair of…
Index of coregularity zero log Calabi-Yau pairs
Stefano Filipazzi, Mirko Mauri, Joaquín Moraga
In this article, we study the index of log Calabi--Yau pairs of coregularity 0. We show that , where is the Weil index of . This is in contrast…
Boundedness of elliptic Calabi-Yau threefolds
Stefano Filipazzi, Christopher D. Hacon, Roberto Svaldi
We show that elliptic Calabi--Yau threefolds form a bounded family. We also show that the same result holds for minimal terminal threefolds of Kodaira dimension 2, upon fixing the…
Moduli of -Gorenstein pairs and applications
Stefano Filipazzi, Giovanni Inchiostro
We develop a framework to construct moduli spaces of -Gorenstein pairs. To do so, we fix certain invariants; these choices are encoded in the notion of -sta…
Connectedness principle for -folds in characteristic
Stefano Filipazzi, Joe Waldron
A conjecture, known as the Shokurov-Kollár connectedness principle, predicts the following. Let be a pair, and let be a contraction with $-(K_X +…
On the connectedness principle and dual complexes for generalized pairs
Stefano Filipazzi, Roberto Svaldi
Let be a pair, and let be a contraction with nef over . A conjecture, known as the Shokurov-Kollár connectedness principle, predi…
The Jordan property for local fundamental groups
Lukas Braun, Stefano Filipazzi, Joaquín Moraga +1
We show the Jordan property for regional fundamental groups of klt singularities of fixed dimension. Furthermore, we prove the existence of effective simultaneous index one covers…
On the boundedness of -folds with
Stefano Filipazzi
In this note we study certain sufficient conditions for a set of minimal klt pairs with to be bounded.
Invariance of Plurigenera and boundedness for Generalized Pairs
Stefano Filipazzi, Roberto Svaldi
In this note, we survey some recent developments in birational geometry concerning the boundedness of algebraic varieties. We delineate a strategy to extend some of these results t…
Log canonical -fold complements
Stefano Filipazzi, Joaquín Moraga, Yanning Xu
We expand the theory of log canonical -fold complements. We prove that if is a -dimensional contraction of log Calabi-Yau type, then we can find on…
Strong -complements for semi-stable morphisms
Stefano Filipazzi, Joaquín Moraga
We prove boundedness of global strong -complements for generalized -log canonical pairs of Fano type. We also prove some partial results towards boundedness of local stro…
On a generalized canonical bundle formula and generalized adjunction
Stefano Filipazzi
In this note, we extend the theories of the canonical bundle formula and adjunction to the case of generalized pairs. As an application, we study a particular case of a conjecture…
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…
An example of Berglund-Hübsch mirror symmetry for a Calabi-Yau complete intersection
Stefano Filipazzi, Franco Rota
We study an example of complete intersection Calabi-Yau threefold due to Libgober and Teitelbaum arXiv:alg-geom/9301001, and verify mirror symmetry at a cohomological level. Direct…
Boundedness of Log Canonical Surface Generalized Polarized Pairs
Stefano Filipazzi
In this paper, we study the behavior of the sets of volumes of the form , where is a log canonical pair, and is a nef -divisor. Aft…