ENOKIZONO, Makoto

Title
Assistant Professor
Field
Algebraic Geometry
Research interests
Algebraic surfaces, moduli spaces
Current research

I study algebraic curves, algebraic surfaces, and their degenerations, as well as the related moduli spaces. In particular, I focus on the structure of algebraic surfaces equipped with families of algebraic curves and analyze their numerical invariants using intersection theory on the moduli space of algebraic curves.

Selected publications
  1. An integral version of Zariski decompositions on normal surfaces, Eur. J. Math. 10 article number 38 (2024).
  2. Vanishing theorems and adjoint linear systems on normal surfaces in positive characteristic, Pacific J. Math. 324 (2023) 71-110.
  3. (with T. Horiguchi, T. Nagaoka and A. Tsuchiya) An additive basis for the cohomology rings of regular nilpotent Hessenberg varieties, Transform. Groups 28 (2023) 695-732.
  4. Durfee-type inequality for complete intersection surface singularities, Duke Math. J. 170 (2021) 1-21.
  5. Slopes of fibered surfaces with a finite cyclic automorphism, Michigan Math. J. 66 (2017) 125-154.

Memberships, activities and

Awards

The Mathematical Society of Japan