Morihiko Saito

collaborators

7 papers

math.AG2026

Roots of Bernstein-Sato polynomials for projective hypersurfaces with ordinary double points

Seung-Jo Jung, Morihiko Saito

Let $X \subset P^{n - 1}$ be a hypersurface of degree $d \geq 3$ with ordinary double points, where $n \geq 3$ . The roots of Bernstein-Sato polynomial of its defining polynomial $f…

math.CV2026

Subtlety of oscillation indices of oscillatory integrals of real analytic functions

In-Kyun Kim, Morihiko Saito

For a locally defined real analytic function $f$ , we study the relation between the oscillation index of oscillatory integrals and the real log canonical threshold. The former is a…

math.AG2026

Some remarks on the generalized Hertling conjecture for Tjurina spectrum

Seung-Jo Jung, In-Kyun Kim, Morihiko Saito +1

We study the original version of the generalized Hertling conjecture on the variance of the Tjurina spectral numbers, which was proposed by Shi, Wang, and Zuo, and provide a suffic…

math.AG2026

Tjurina spectrum and graded symmetry of missing spectral numbers

Seung-Jo Jung, In-Kyun Kim, Morihiko Saito +1

For a hypersurface isolated singularity defined by a convergent power series $f$ , the Steenbrink spectrum can be defined as the PoincarÃ© polynomial of the graded quotients of the…

math.AG2026

Factoriality of normal projective varieties

Seung-Jo Jung, Morihiko Saito

For a normal projective variety $X$ , the $Q$ -factoriality defect $I ¨ (X)$ is defined to be the rank of the quotient of the group of Weil divisors by the subgroup of Cartier…

math.AG2026

Defect of projective hypersurfaces with isolated singularities

Seung-Jo Jung, Morihiko Saito

Let $X$ be a hypersurface with isolated singularities defined by $f$ in $P^{n + 1}$ with $n > 1$ . The difference $def (X) := h^{n + 1} (X) - h^{n - 1} (X)$ is called the defect of $X$ …