Seung-Jo Jung · wovepaper

activity

20152026

most citedHodge ideal and spectrum of weighted homogeneous isolated singularities

1 citations · 3 across the 12 of their papers we have counts for

collaborators

14 papers

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…

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…

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 $X$ …

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…

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 $…

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…

Briançon-Skoda exponents and the maximal root of reduced Bernstein-Sato polynomials

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

For a holomorphic function $f$ on a complex manifold $X$ , the Briançon-Skoda exponent $e^{BS} (f)$ is the smallest integer $k$ with $f^{k} \in (\partial f)$ (replacing $X$ with a ne…

Higher Du Bois singularities of hypersurfaces

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

For a complex algebraic variety $X$ , we introduce higher $p$ -Du Bois singularity by imposing canonical isomorphisms between the sheaves of Kähler differential forms $Ω_{X}^{q}$ and the…

Spectrum of non-degenerate functions with simplicial Newton polytopes

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

We show a precise proof of Steenbrink's formula for the spectrum of convenient Newton non-degenerate functions, and prove the symmetry of combinatorial polynomials in the simplicia…

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…

math.AG2018★ 1 cited

Hodge ideal and spectrum of weighted homogeneous isolated singularities

Seung-Jo Jung, In-Kyun Kim, Youngho Yoon

This note provides a connection between the Hodge spectrum and the Hodge ideals recently developed by Mustaţǎ--Popa in the case of weighted homogeneous isolated singularities.

math.AG2018★ 1 cited

A product formula for volumes of divisors via Okounkov bodies

Sung Rak Choi, Seung-Jo Jung, Jinhyung Park +1

We generalize Kawamata's product formula for volumes of canonical divisors to arbitrary divisors using Okounkov bodies

On the Craw-Ishii conjecture

Seung-Jo Jung

Craw and Ishii proved that for a finite abelian group G in SL_3(C) every (projective) relative minimal model of C^3/G is isomorphic to the fine moduli space of θ-stable G-constella…

Terminal Quotient Singularities in Dimension three via variation of GIT

Seung-Jo Jung

A 3-fold terminal quotient singularity X=C^3/G admits the economic resolution Y-> X, which is "close to being crepant". This paper proves that the economic resolution Y is isomorph…