Paolo Cascini

Google Scholar

Publications

Research articles

  1. (with C. Spicer) On the MMP for rank one foliations on threefolds,
    Forum Math. Pi 13 (2025), e20.
  2. (with J. Liu, F. Meng, R. Svaldi, L. Xie)
    Variation of algebraically integrable adjoint foliated structures,
    arXiv:2510.02498.
  3. (with C. Spicer) On base point freeness for rank one foliations,
    arXiv:2509.03109.
  4. (with J. Han, J. Liu, F. Meng, C. Spicer, R. Svaldi, L. Xie)
    On finite generation and boundedness of adjoint foliated structures,
    arXiv:2504.10737.
  5. (with F. Catanese, Y. Chen, J.H. Keum)
    Mori dream spaces and Q-homology quadrics,
    Pacific J. Math. 339 (2025), no. 2, 223–242, arXiv:2501.15589.
  6. (with C. Spicer) Foliation adjunction,
    Math. Ann. 391 (2025), 5695–5727.
  7. (with T. Kawakami, S. Takagi)
    Threefolds of globally F-regular type with nef anti-canonical divisor,
    arXiv:2410.03871.
  8. (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.
  9. (with H.K. Chen) On the Chern numbers of smooth complex threefolds,
    IMRN (2024), no. 23, 14464–14478.
  10. (with C. Spicer) MMP for algebraically integrable foliations,
    Higher Dimensional Algebraic Geometry, pp. 69–84, Cambridge Univ. Press (2025), arXiv:2303.07528.
  11. (with F. Ambro, V. Shokurov, C. Spicer) Positivity of the Moduli Part,
    arXiv:2111.00423.
  12. (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.
  13. (with C. Spicer) MMP for co-rank one foliations on threefolds,
    Inventiones Math. 225 (2021), no. 2, 603--690.
  14. (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.
  15. (with S. Meng, D.-Q. Zhang) Polarized endomorphisms of normal projective threefolds in arbitrary characteristic, Math. Annalen 378 (2020), no. 1-2, 637–665.
  16. (with H. Tanaka) Relative semi-ampleness in positive characteristic.
    Proceedings of the London Mathematical Society (3) 121 (2020), no. 3, 617–655.
  17. (with H. Tanaka) Purely log terminal threefolds with non-normal centres in characteristic two,
    American Journal of Mathematics, 141 (2019), no. 4, 941–979.
  18. (with E. Floris) On invariance of plurigenera for foliations on surfaces,
    J. Reine Angew Math., 744 (2018), 201-236.
  19. (with L. Tasin) On the Chern numbers of a smooth threefold,
    Trans. Amer. Math. Soc., 370 (2018), no. 11, 7923-7958.
  20. (with H. Tanaka, J. Witaszek) Klt del Pezzo surfaces which are not globally F-split,
    IMRN (2018), no. 7, 2135–2155.
  21. (with H. Tanaka) Smooth rational surfaces violating Kawamata-Viehweg vanishing,
    European Journal of Mathematics, 4 (2018), no. 1, 162–176.
  22. (with H. Tanaka, J. Witaszek) On log del Pezzo surfaces in large characteristic,
    Compositio Mathematica, 153 (2017), no. 4, 820–850.
  23. (with C. Bisi, L. Tasin) A remark on the Ueno-Campana's threefold,
    Michigan Math. Journal, 65 (2016), no. 3, 567–572.
  24. (with Y. Gongyo, K. Schwede) Uniform bounds for strongly F-regular surfaces,
    Trans. Amer. Math. Soc., 368 (2016), no. 8, 5547-5563.
  25. (with H. Tanaka, C. Xu) On base point freeness in positive characteristic,
    Ann. Sci. École Norm. Sup., 48 (2015), no. 5, 1239-1272.
  26. (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.
  27. (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.
  28. (with D.-Q. Zhang) Effective finite generation for adjoint rings,
    Annales de l'Institut Fourier, 64 (2014), no. 1, 127-144.
  29. (with J. McKernan, 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.
  30. (with M. Nakamaye) Seshadri constant on smooth threefolds,
    Advances in Geometry, 14 (2014), no. 1, 59-79.
  31. (with Y. Gongyo) On the anti-canonical ring and varieties of Fano type,
    Saitama Math J., 30 (2013), 27-38.
  32. (with D. Panov) Symplectic generic complex structures on 4-manifolds with b_+ = 1,
    Journal of Symplectic Geometry, 10 (2012), no. 4, 1-10.
  33. (with V. Lazić) New outlook on the Minimal Model Program, I,
    Duke Math. Journal, 161 (2012), no. 12, 2415-2467.
  34. (with C. Birkar, C. Hacon, J. McKernan) Existence of Minimal Models for Varieties of Log General Type, J. Amer. Math. Soc. 23 (2010), no. 2, 405-468.
  35. (with G. La Nave) Kahler-Ricci Flow and the Minimal Model Program for Projective Varieties,
    math.AG/0603064.
  36. (with F.A. Bogomolov, B. De Oliveira) Singularities on Complete Algebraic Varieties,
    Central European Journal of Math. 4 (2006), no. 2, 194-208.
  37. Subsheaves of the Cotangent Bundle,
    Central European Journal of Math. 4 (2006), no. 2, 209-224.
  38. On the moduli space of the Schwarzenberger bundles,
    Pacific J. Math. 205 (2002), no. 2, 311-323.
  39. Weighted Tango Bundles on $\mathbb{P}^n$ and their moduli spaces,
    Forum Math. 13 (2001), no. 2, 251-260.

Books edited

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

Survey papers

  1. (with C. Bisi, L. Tasin) Forms and Complex Manifolds, EMS Surv. Math. Sci. (2025).
  2. New directions in the Minimal Model Program, Bollettino dell'Unione Matematica Italiana (2020).
  3. Higher dimensional varieties and their moduli spaces: Guanajuato, Mexico. Moduli of curves, 27–47, Lect. Notes Unione Mat. Ital., 21, Springer, Cham, 2017.
  4. Rational curves on complex manifolds, Milan J. of Math. 81 (2013), no. 2, 291-315.
  5. (with V. Lazić) The Minimal Model Program Revisited, Contributions to Algebraic Geometry, EMS Publishing House (2012) 169-187.