Ya Deng

Publications

My papers can also be found on arXiv.

• Linear Shafarevich Conjecture in Positive Characteristic, Hyperbolicity, and Applications
  Ya Deng, Katsutoshi Yamanoi. to appear in J. Reine Angew. Math..
  arXiv:2403.16199
  journalarXiv:2403.16199
• Vanishing theorem for tame harmonic bundles via L²-cohomology
  Ya Deng, Feng Hao. Compos. Math. 160(12) (Dec 2024), 2828–2855.
  arXiv:1912.02586
  journalarXiv:1912.02586
• On the nilpotent orbit theorem of complex variation of Hodge structures
  Ya Deng. Forum of Mathematics, Sigma 11 (2023), e106.
  arXiv:2203.04266
  journalarXiv:2203.04266
• Big Picard theorems and algebraic hyperbolicity for varieties admitting a variation of Hodge structures
  Ya Deng. L'Épijournal de Géométrie Algébrique, Vol. 7 (2023).
  arXiv:2001.04426 — Oberwolfach report
  journalarXiv:2001.04426
• A characterization of complex quasi-projective manifolds uniformized by unit balls
  Ya Deng (with an appendix jointly with Benoît Cadorel). Math. Ann. 384 (2022), 1833–1881.
  arXiv:2006.16178
  journalarXiv:2006.16178
• On the hyperbolicity of base spaces for maximal variational families of smooth projective varieties
  Ya Deng (with an appendix by Dan Abramovich). J. Eur. Math. Soc. 24(7) (2022), 2315–2359.
  arXiv:1806.01666
  journalarXiv:1806.01666
• Picard theorems for moduli spaces of polarized varieties
  Ya Deng, Steven Lu, Ruiran Sun, Kang Zuo. Math. Ann. 390 (2024), 1125–1154.
  arXiv:1911.02973
  journalarXiv:1911.02973
• Kobayashi hyperbolicity of the complements of general hypersurfaces of high degrees
  Damian Brotbek, Ya Deng. Geom. Funct. Anal. (GAFA) 29(3) (2019), 690–750.
  arXiv:1804.01719
  journalarXiv:1804.01719
• On the Diverio–Trapani Conjecture
  Ya Deng. Ann. Sci. Éc. Norm. Supér. 53 (2020), 787–814.
  arXiv:1703.07560
  journalarXiv:1703.07560
• On the positivity of the logarithmic cotangent bundle
  Damian Brotbek, Ya Deng. Ann. Inst. Fourier 68(7) (2018), 3001–3051 (en l'honneur de J.-P. Demailly).
  arXiv:1712.09887
  journalarXiv:1712.09887
• Applications of the Ohsawa–Takegoshi Extension Theorem to Direct Image Problems
  Ya Deng. Int. Math. Res. Not. IMRN (rnaa018).
  journal
• Transcendental Morse inequality and generalized Okounkov bodies
  Ya Deng. Algebraic Geometry 4(2) (2017), 177–202.
  journal
• Simpson correspondence for semistable Higgs bundles over Kähler manifolds
  Ya Deng. Pure and Applied Mathematics Quarterly 17(5) (2021), 1899–1911.
  journal
• Kobayashi measure hyperbolicity for singular directed varieties of general type
  Ya Deng. C. R. Math. 354(9) (2016), 920–924.
  journal