Joonyeong Won

Log canonical thresholds of certain Fano hypersurfaces

We study log canonical thresholds on quartic threefolds, quintic fourfolds, and double spaces. As an important application, we show that they have Kähler–Einstein metrics if they are general.

Affine cones over smooth cubic surfaces

We show that affine cones over smooth cubic surfaces do not admit non-trivial

Cylinders in singular del Pezzo surfaces

mathbb{G}_a

Cylinders in del Pezzo Surfaces

-actions.

Okounkov bodies associated to pseudoeffective divisors

For each delxa0Pezzo surface

Okounkov Bodies Associated to Pseudoeffective Divisors II

S

Asymptotic base loci via Okounkov bodies

n with duxa0Val singularities, we determine whether it admits a

Okounkov bodies and zariski decompositions on surfaces

(-K_{S})

Flexible affine cones over del Pezzo surfaces of degree 4

n -polar cylinder or not. If it allows one, then we present an effective

Alpha Invariants of Birationally Rigid Fano Three-folds

mathbb{Q}