Takuzo Okada

collaborators

4 papers

math.AG2026

K-stablity of Fano threefold hypersurfaces of index 1

Livia Campo, Takuzo Okada

We settle the problem of K-stability of quasi-smooth Fano 3-fold hypersurfaces with Fano index 1 by providing lower bounds for their delta invariants. We use the method introduced…

math.AG2025

Birational geometry of weighted complete intersections of type $(12, 14)$ in $P (1, 2, 3, 4, 7, 11)$

Takuzo Okada

We show that any quasismooth Fano threefold weighted complete intersections of type $(12, 14)$ in $P (1, 2, 3, 4, 7, 11)$ is birationally solid.

math.AG2025

Local inequalities for $c A_{k}$ singularities

Igor Krylov, Takuzo Okada, Erik Paemurru

We generalize an intersection-theoretic local inequality of Fulton-Lazarsfeld to weighted blowups. As a consequence, we obtain the $4 n^{2} / (k + 1)$ -inequality for isolated $c A_{k}$ singu…

math.AG2025

A survey on birational Rigidity of threefold Weighted Complete Intersections

Tiago Duarte Guerreiro, Takuzo Okada

We survey what is known about Fano threefold weighted complete intersections from the point of view of birational rigidity.

K-stablity of Fano threefold hypersurfaces of index 1

Birational geometry of weighted complete intersections of type (12,14) in P(1,2,3,4,7,11)

Local inequalities for cAk​ singularities

A survey on birational Rigidity of threefold Weighted Complete Intersections

Birational geometry of weighted complete intersections of type $(12, 14)$ in $P (1, 2, 3, 4, 7, 11)$

Local inequalities for $c A_{k}$ singularities