4 citations · 6 across the 8 of their papers we have counts for
7 papers · 1 filter
Higher Du Bois singularities of hypersurfaces
Seung-Jo Jung, In-Kyun Kim, Morihiko Saito +1
For a complex algebraic variety , we introduce higher -Du Bois singularity by imposing canonical isomorphisms between the sheaves of Kähler differential forms and the…
Intersection cohomology of pure sheaf spaces using Kirwan's desingularization
Kiryong Chung, Youngho Yoon
Let be the Simpson compactification of twisted ideal sheaves where is a rank quardric hypersurface in and is a line…
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.
On the explicit calculation of Hirzebruch-Milnor classes of hyperplane arrangements
Xia Liao, Youngho Yoon
The Hirzebruch-Milnor class is given by the difference between the homology Hirzebruch characteristic class and the virtual one. It is known that the Hirzebruch-Milnor class for a…
Spectrum of Projective Plane Curve Arrangements with Ordinary Singularities
Youngho Yoon
The Hodge spectrum is an important analytic invariant of singularities encoding the Hodge filtration and the monodromy of the Milnor fiber. Explicit formulas exist for only a few c…
Rank one local systems and forms of degree one
Nero Budur, Botong Wang, Youngho Yoon
Cohomology support loci of rank one local systems of a smooth quasiprojective complex algebraic variety are finite unions of torsion-translated complex subtori of the character var…
Spectrum of hyperplane arrangements in four variables
Youngho Yoon
One of the most important invariants in singularity theory is the Hodge spectrum. Calculating the Hodge spectrum is a difficult task and formulas exist for only a few cases. In thi…