TANAKA, Hiromu

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Title
Associate Professor
Field
Algebraic Geometry
Research interests
Minimal model program in positive characteristic
Current research

I study minimal model program in positive characteristic.

Selected publications
  1. Minimal models and abundance for positive characteristic log surfaces.
    Nagoya Math. J. 216 (2014), 1-70.
  2. The X-method for klt surfaces in positive characteristic.
    J. Algebraic Geom. 24 (2015), no. 4, 605-628.
  3. On base point freeness in positive characteristic. (with P. Cascini,C. Xu)
    Ann. Sci. Ec. Norm. Super. (4) 48 (2015), no. 5, 1239-1272.
  4. A characterization of ordinary abelian varieties by the Frobenius push-forward of the structure sheaf. (with. A. Sannai)
    Math. Ann. 366 (2016), no. 3-4, 1067-1087.
  5. On log del Pezzo surfaces in large characteristic. (with P. Cascini,J. Witaszek)
    Compos. Math. 153 (2017), no. 4, 820-850.

Memberships, activities and

Awards

The Mathematical Society of Japan

MSJ Takebe Katahiro Prize for Encouragement of Young Researchers (2013)