Stefano Filipazzi

Research Interests

My interests mainly lie in the birational geometry of higher dimensional algebraic varieties.

All my works are available on arXiv.

Publications

Rational points on 3-folds with nef anti-canonical class over finite fields, with F. Bernasconi, arXiv:2308.10824, to appear in Proc. Lond. Math. Soc..

Boundedness of elliptic Calabi-Yau threefolds, with C.D. Hacon and R. Svaldi, J. Eur. Math. Soc. (JEMS).

Index of coregularity zero log Calabi-Yau pairs, with M. Mauri and J. Moraga, arXiv:2209.02925, to appear in Algebra Number Theory.

Complements and coregularity of Fano varieties, with F. Figueroa, J. Moraga and J. Peng, arXiv:2211.09187, to appear in Forum Math. Sigma.

On the boundedness of n-folds with κ(X)=n-1, Algebr. Geom. 11 (2024), no. 3, 318–345.

Arithmetic and geometric deformations of 3-folds, with F. Bernasconi and I. Brivio, Bull. Lond. Math. Soc. 56 (2024), no. 1, 423-443.

Moduli of Q-Gorenstein pairs and applications, with G. Inchiostro, J. Algebraic Geom. 33 (2024), 347-399.

Connectedness principle for 3-folds in characteristic p>5, with J. Waldron, Michigan Math. J. 74 (2024), no. 4, 675-701.

On the connectedness principle and dual complexes for generalized pairs, with R. Svaldi, Forum Math. Sigma, 11 (2023), e33.

The Jordan property for local fundamental groups, with L. Braun, J. Moraga and R. Svaldi, Geom. Topol. 26 (2022), no. 1, 283–319.

Invariance of Plurigenera and boundedness for Generalized Pairs, with R. Svaldi, Matemática Contemporânea, Vol. 47 (2020), 114-150.

Strong (δ,n)-complements for semi-stable morphisms, with J. Moraga, Doc. Math. 25 (2020), 1953-1996.

On a generalized canonical bundle formula and generalized adjunction, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 21 (2020), 1187-1221.

Some remarks on the volume of log varieties, Proc. Edinb. Math. Soc. (2) 63 (2020), no. 2, 314-322.

Boundedness of log canonical surface generalized polarized pairs, Taiwanese J. Math. 22 (2018), no. 4, 813-850.

An example of Berglund-Hübsch mirror symmetry for a Calabi-Yau complete intersection, with F. Rota, Matematiche (Catania) 73 (2018), no. 1, 191-209.

Generic vanishing fails for surfaces in positive characteristic, Boll. Unione Mat. Ital. 11 (2018), no. 2, 179-189.

Preprints

A counterexample to the log canonical Beauville-Bogomolov decomposition, with F. Bernasconi, Zs. Patakfalvi and N. Tsakanikas, arXiv:2407.17260.

On semi-ampleness of the moduli part, with C. Spicer, arXiv:2212.03736, submitted.

Log canonical 3-fold complements, with J. Moraga and Y. Xu, arXiv:1909.10098.

Posters

A generalized canonical bundle formula, A0 poster.

Boundedness of log canonical surface generalized pairs, A0 poster.

Generic vanishing fails for surfaces in positive characteristic, A3 poster.

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