Publications

1. A strong counterexample to the log canonical Beauville--Bogomolov decomposition, with S. Filipazzi, Zs. Patakfalvi and N. Tsakanikas (with an appendix by N. Müller). [arXiv]
   To appear in Algebraic Geometry.

2. Geometry and arithmetic of geometrically integral regular del Pezzo surfaces, with H. Tanaka. [arXiv]
   To appear in Algebra & Number Theory.

3. Explicit Sarkisov program for regular surfaces over arbitrary fields and applications, with A. Fanelli, J. Schneider and S. Zimmermann. [arXiv]
   To appear in Memoirs of the European Mathematical Society.

4. The Frobenius--stable version of the Grauert--Riemenschneider vanishing theorem fails, with J. Baudin and T. Kawakami. [arXiv, Journal version]
   Journal of Algebraic Geometry 36 (2027), pp. 117–159.

5. Geometry of 3-dimensional del Pezzo fibrations in positive characteristic.
   ZAG handbook of modern algebraic geometry. (2025). Chapman and Hall/CRC [arXiv, Book]

6. Rational points on 3-folds with nef anti-canonical class over finite fields, with S. Filipazzi.
   Proc. Lond. Math. Soc. (2025) 130: e70014, 1--31. [arXiv, Journal version]

7. Bounding geometrically integral del Pezzo surfaces, with G. Martin.
   Forum Math. Sigma 12 (2024), Paper no. e81, 1--24. [arXiv, Journal version]

8. Lifting globally F-split surfaces to characteristic zero, with I. Brivio, T. Kawakami and J. Witaszek.
   J. Reine Angew. Math. (Crelle) 816 (2024), pp. 47-89.  [arXiv, Journal version, video]

9. Counterexamples to the MMP for 1-foliations in positive characteristic.
   Ann. Univ. Ferrara Sez. VII Sci. Mat. 70 (2024), no. 3, 631--641. [arXiv, Journal version]

10. On the properness of the moduli space of stable surfaces over Z[1/30], with E. Arvidsson and Zs. Patakfalvi.
    Moduli (Foundation Compositio) 1 (2024), e3, 1--37. [arXiv, Journal version]

11. Arithmetic and geometric deformations of threefolds, with I. Brivio and S. Filipazzi.
    Bull. London Math. Soc. 56 (2024), no. 1, 423--443. [arXiv, Journal version]

12. Semiampleness for Calabi‒Yau surfaces in positive and mixed characteristic, with L. Stigant. 
    Nagoya Math. J. 250 (2023),  365--384. [arXiv, Journal version]

13. Abundance theorem for mixed characteristic threefolds, with I. Brivio and L. Stigant.
    Math. Ann. 388 (2024), no. 1, 141--166. [arXiv, Journal version]

14. Vanishing theorems for threefolds in characteristic p>5, with J. Kollár.
    Int. Math. Res. Not. IMRN (2023), no. 4, 2846--2866. [arXiv, Journal version]

15. On the Kawamata‒Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristic, with E. Arvidsson and J. Lacini.
    Compos. Math. 158 (2022), no. 4, 750--763. [arXiv, Journal version].

16. On the base point free theorem for KLT threefolds in large characteristic.
    Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 22 (2021), no. 2, 583--600. [arXiv, Journal version]

17. On del Pezzo fibrations in positive characteristic, with H. Tanaka.
    J. Inst. Math. Jussieu 21 (2022), no. 1, 197--239.  [arXiv, Journal version]

18. Non-normal purely log terminal centres in characteristic p > 3.
    Eur. J. Math. (2019) 5: pp. 1242 - 1251.  [Journal version]

19. Kawamata‒Viehweg vanishing fails for log del Pezzo surfaces in characteristic 3.  
    J. Pure Appl. Algebra 225 (2021), no. 11. [arXiv, Journal version]

Pre-prints

1. Brauer--Manin obstruction from failure of Kodaira vanishing in positive characteristic, with D. Valloni. [arXiv]

2. On surfaces with smooth projective models over Z, with G. Martin and Zs. Patakfalvi. [arXiv]

3. Equisingular lifting of semi-log canonical F-split K-trivial surfaces, with Q. Posva. [arXiv, video]