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math.AG2025
Virtual Poincare polynomial of moduli space of semistable sheaves of rank two on reducible curves
Sukmoon Huh, Dongsun Lim, Sang-Bum Yoo
The main purpose of this paper is to give an explicit description of the moduli space of semistable sheaves of rank two on a stable curve C obtained by gluing two smooth curves at…
math.AG2025
Counting aCM Toric Bundles of Rank Two on the Veronese Surface
Yeonjae Hong, Sukmoon Huh
We define the isomorphism classes of torus-equivariant rank 2 arithmetically Cohen-Macaulay (aCM) vector bundles on the Veronese surface, up to a twist by the hyperplane class, and…
math.AG2025
Net logarithmic tangent sheaves of complete intersections
Sukmoon Huh, Min-gyo Jeong
The main purpose of this paper is to define the {\it net logarithmic tangent sheaf}, as a generalization of the logarithmic tangent sheaf introduced by P.~Deligne, over the field o…