Morihiko Saito

activity

20192026

most citedHodge ideals and spectrum of isolated hypersurface singularities

1 citations · 1 across the 8 of their papers we have counts for

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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.AG2026

Factoriality of normal projective varieties

Seung-Jo Jung, Morihiko Saito

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

math.AG2025

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 $X$ …

math.AG2025

Spectrum of cones of projective hypersurfaces with singularities isolated

Seung-Jo Jung, Morihiko Saito, Youngho Yoon

Let $Z$ be a projective hypersurface such that its underlying reduced variety has only isolated singularities. In case its irreducible components have constant multiplicities, for…

math.AG2024

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 Poincaré polynomial of the graded quotients of the $…

math.AG2024

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.AG2019★ 1 cited

Hodge ideals and spectrum of isolated hypersurface singularities

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

We introduce Hodge ideal spectrum for isolated hypersurface singularities to see the difference between the Hodge ideals and the microlocal $V$ -filtration modulo the Jacobian ideal…