A geometric characterization of toric singularities.
with J. Moraga,
accepted for publication at Journal de Mathématiques Pures et Appliquées.
Versions:
[arXiv]
Boundedness of elliptically fibered Calabi--Yau threefolds,
with S. Filipazzi, C. Hacon
accepted for publication at Journal of the European Mathematical Society.
DOI: 10.4171/JEMS/1467
Versions:
[arXiv]
[journal]
Boundedness of elliptic Calabi-Yau varieties with a section,
with C. Birkar, G. Di Cerbo,
J. Differential Geom. 128 (2024), no. 2, 463–519.
Versions:
[arXiv]
[journal]
On the connectedness principle and dual complexes for generalized pairs,
with S. Filipazzi,
Forum of Mathematics,
Sigma 11 (2023),
Paper No. e33.
DOI: 10.1017/fms.2023.25
Versions:
[arXiv]
[journal]
Effective generation for foliated surfaces,
with C. Spicer,
Journal für die Reine und Angewandte Mathematik
795 (2023), 45–84.
40pp.
DOI: 10.1515/crelle-2022-0067
Versions:
[arXiv]
[journal]
Rational curves and strictly nef divisors on Calabi--Yau threefolds,
with H. Liu,
Documenta Mathematica
27 (2022), 1581-1604.
DOI: 10.4171/DM/904
Versions:
[arXiv]
[journal]
Local and global applications of the Minimal Model Program for co-rank one foliations on threefolds,
with C. Spicer,
Journal of the European Mathematical Society 24 (2022), no. 11, pp. 3969--4025.
DOI:10.4171/JEMS/1173
Versions:
[arXiv]
[journal]
The Jordan property for local fundamental groups,
with L. Braun, J. Moraga, S. Filipazzi,
Geometry & Topology 26-1 (2022), 283--319.
DOI: 10.2140/gt.2022.26.283.
Versions:
[arXiv]
[journal]
Birational boundedness of low dimensional elliptic Calabi-Yau varieties with a section,
with G. Di Cerbo,
Compositio Mathematica 157 (2021), no. 8, 1766--1806.
DOI: 10.1112/S0010437X2100717X
Versions:
[arXiv]
[journal]
Birational buondedness of rationally connected Calabi-Yau threefolds,
with W. Chen, G. Di Cerbo, J. Han, and C. Jiang,
Advances in Mathematics 378 (2021), 107541, 32 pp.
DOI: 10.1016/j.aim.2020.107541
Versions:
[arXiv]
[journal]
Invariance of plurigenera and boundedness for generalized pairs,
with S. Filipazzi,
Matemática Contemporânea 47 (2020), 114--150.
Proceedings of the ICM Satellite “Moduli spaces in Algebraic Geometry and Applications”, Campinas, Brazil 2018.
DOI:10.21711/231766362020/rmc476
Versions:
[arXiv]
[journal]
Hyperbolicity for log canonical pairs and the Cone Theorem,
Selecta Mathematica New Series (2019), no. 5, paper 67, 23 pp.
DOI:10.1007/s00029-019-0512-9
Versions:
[arXiv]
[journal]
Effective algebraic integration in bounded genus,
with J. V. Pereira,
Algebraic Geometry 6 (4) (2019) 454-485.
DOI:10.14231/AG-2019-021
Versions:
[arXiv]
[journal]
A note on the fibres of Mori fibre spaces,
with G. Codogni, A. Fanelli, L. Tasin,
European Journal of Mathematics 4 (2018), no. 3, 859-878.
DOI:10.1007/s40879-018-0219-z
Versions:
[arXiv]
[journal]
A characterization of toric varieties,
with M. Brown, J. McKernan, H. Zong,
Duke Mathematical Journal, Volume 167, Number 5 (2018), 923-968.
DOI:10.1215/00127094-2017-0047
Versions:
[arXiv]
[journal]
Fano varieties in Mori Fiber Spaces,
with G. Codogni, A. Fanelli, L. Tasin,
International Mathematical Research Notices (2016) 2016 (7): 2026-2067.
DOI:10.1093/imrn/rnv173
Versions:
[arXiv]
[journal]
Pre-prints
Minimal model program for algebraically integrable adjoint foliated structures,
with P. Cascini, J. Han, J. Liu, F. Meng, C. Spicer, L. Xie,
submitted.
Versions:
[arXiv]
Surveys, notes, etc.
On the structure of local and global singularities: Shokurov's Conjecture,
Proceedings of the "Kinosaki algebraic geometry symposium 2017", 12 pages.
Versions:
[online]
Recent progress on the birational geometry of foliations on threefolds,
Oberwolfach Reports 17 (2020), no. 2/3, 1002--1006.
DOI: 10.4171/OWR/2020/19
Versions:
[article]
[journal]
Videos
Here are some video recordings of seminars I gave:
Hyperbolicity for log pairs (March 17th 2015), Workshop: Distribution of Rational and Holomorphic Curves in Algebraic Varieties, Banff International Research Station.