Research »

Papers

Publications:

• (with T. Kawakami, S. Takagi)
  Threefolds of globally F-regular type with nef anti-canonical divisor,
  arXiv:2410.03871.
• (with J. Han, J. Liu, F. Meng, C. Spicer, R. Svaldi, L. Xie)
  Minimal model program for algebraically integrable adjoint foliated structures,
  arXiv:2408.1425.
• (with C. Spicer) Foliation adjunction,
  Math Annalen (to appear).
• (with H.K. Chen) On the Chern numbers of smooth complex threefolds,
  IMRN (2024), no. 23, 14464–14478.
• (with C. Spicer) MMP for algebraically integrable foliations,
  arXiv:2303.07528.
• (with F. Ambro, V. Shokurov, C. Spicer) Positivity of the Moduli Part,
  arXiv:2111.00423.
• (with C. Spicer) On the MMP for rank one foliations on threefolds,
  arXiv:2012.11433.
• (with J. Martinez-Garcia, Y.A. Rubinstein) Some remarks on asymptotically log Fano varieties,
  Rendiconti del Circolo Matematico di Palermo (2) 72 (2023), no. 2, 773–790.
• (with C. Spicer) MMP for co-rank one foliations on threefolds,
  Inventiones Math. 225 (2021), no. 2, 603--690.
• (with S. Ejiri, J. Kollár, L. Zhang) Subadditivity of Kodaira dimension does not hold in positive characteristic, Commentarii Math. Helvetici, Comment. Math. Helv. 96 (2021), no. 3, 465--481.
• (with S. Meng, D.-Q. Zhang) Polarized endomorphisms of normal projective threefolds in arbitrary characteristic, Math. Annalen 378 (2020), no. 1-2, 637–665.
• (with H. Tanaka) Relative semi-ampleness in positive characteristic.
  Proceedings of the London Mathematical Society (3) 121 (2020), no. 3, 617–655.
• (with H. Tanaka) Purely log terminal threefolds with non-normal centres in characteristic two,
  American Journal of Mathematics, 141 (2019), no. 4, 941–979.
• (with E. Floris) On invariance of plurigenera for foliations on surfaces,
  J. Reine Angew Math., 744 (2018), 201-236.
• (with L. Tasin) On the Chern numbers of a smooth threefold,
  Trans. Amer. Math. Soc., 370 (2018), no. 11, 7923-7958.
• (with H. Tanaka, J. Witaszek) Klt del Pezzo surfaces which are not globally F-split,
  IMRN (2018), no. 7, 2135–2155.
• (with H. Tanaka) Smooth rational surfaces violating Kawamata-Viehweg vanishing,
  European Journal of Mathematics, 4 (2018), no. 1, 162–176..
• (with H. Tanaka, J. Witaszek) On log del Pezzo surfaces in large characteristic,
  Compositio Mathematica, 153 (2017), no. 4, 820–850.
• (with C. Bisi, L. Tasin) A remark on the Ueno-Campana's threefold,
  Michigan Math. Journal, 65 (2016), no. 3, 567–572.
• (with Y. Gongyo, K. Schwede) Uniform bounds for strongly F-regular surfaces,
  Trans. Amer. Math. Soc., 368 (2016), no. 8, 5547-5563.
• (with H. Tanaka, C. Xu) On base point freeness in positive characteristic,
  Ann. Sci. École Norm. Sup., 48 (2015), no. 5, 1239-1272.
• (with C. Hacon, M. Mustaţă, K. Schwede)
  On the numerical dimension of pseudo-effective divisors in positive characteristic,
  American Journal of Mathematics, 136 (2014), no.6, 1609-1628.
• (with V. Lazić) On the number of minimal models of a log smooth threefold,
  J. Math. Pures Appl., (9) 102 (2014), no. 3, 597-616.
• (with D.-Q. Zhang) Effective finite generation for adjoint rings,
  Annales de l'Institut Fourier, 64 (2014), no. 1, 127-144.
• (with J. M^cKernan, M. Mustaţă) The augmented base locus in positive characteristic,
  Proceedings of the Edinburgh Mathematical Society, volume dedicated to V.V. Shokurov, 57 (2014), no. 1, 79-87.
• (with M. Nakamaye) Seshadri constant on smooth threefolds,
  Advances in Geometry, 14 (2014), no. 1, 59-79.
• (with Y. Gongyo) On the anti-canonical ring and varieties of Fano type,
  Saitama Math J., 30 (2013), 27-38.
• (with D. Panov) Symplectic generic complex structures on 4-manifolds with b_+ = 1,
  Journal of Symplectic Geometry, 10 (2012), no. 4, 1-10.
• (with V. Lazić) New outlook on the Minimal Model Program, I,
  Duke Math. Journal, 161 (2012), no. 12, 2415-2467.
• (with C. Birkar, C. Hacon, J. M^cKernan) Existence of Minimal Models for Varieties of Log General Type, J. Amer. Math. Soc. 23 (2010), no. 2, 405-468.
• (with G. La Nave) Kahler-Ricci Flow and the Minimal Model Program for Projective Varieties,
  math.AG/0603064.
• (with F.A. Bogomolov, B. De Oliveira) Singularities on Complete Algebraic Varieties,
  Central European Journal of Math. 4 (2006), no. 2, 194-208.
• Subsheaves of the Cotangent Bundle,
  Central European Journal of Math. 4 (2006), no. 2, 209-224.
• On the moduli space of the Schwarzenberger bundles,
  Pacific J. Math. 205 (2002), no. 2, 311-323.
• Weighted Tango Bundles on $\mathbb{P}^n$ and their moduli spaces,
  Forum Math. 13 (2001), no. 2, 251-260.

Books edited:

• (with M. Chen, C. Xu) Special issue on birational geometry and moduli of projective varieties,
  AIMS Press (2022).
• (with J. M^cKernan, J.V. Pereira) Foliation Theory in Algebraic Geometry,
  Simons Symposia, Springer (2015).

Survey Papers:

• New directions in the Minimal Model Program,
  Bollettino dell'Unione Matematica Italiana (2020).
• Higher dimensional varieties and their moduli spaces: Guanajuato, Mexico.
  Moduli of curves, 27–47, Lect. Notes Unione Mat. Ital., 21, Springer, Cham, 2017.
• Rational curves on complex manifolds,
  Milan J. of Math. 81 (2013), no. 2, 291-315.
• (with V. Lazić) The Minimal Model Program Revisited,
  Contributions to Algebraic Geometry, EMS Publishing House (2012) 169-187.