activity
20152026
most citedStable rationality of del Pezzo fibrations of low degree over projective spaces

8 citations · 13 across the 14 of their papers we have counts for

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21 papers · 1 filter

math.AG2026

K-stability and birational rigidity of Fano 3-fold weighted complete intersections

Takuzo Okada

We show that any birationally rigid well-formed and quasismooth Fano 3-fold weighted complete intersection is K-stable.

math.AG2026

Local inequalities for and singularities

Chi-Kang Chang, Jheng-Jie Chen, Takuzo Okada

We obtain inequalities for isolated and singularities, analogues of the -inequality for isolated singularity in \cite{KOP}. These inequ…

math.AG2025

Local inequalities for 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 -inequality for isolated 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.

math.AG2025

Birational geometry of weighted complete intersections of type in

Takuzo Okada

We show that any quasismooth Fano threefold weighted complete intersections of type in is birationally solid.

math.AG2024

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…