Seung-Jo Jung

collaborators

6 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.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 $X$ …

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…