Zobrazeno 1 - 10
of 89
pro vyhledávání: '"Huh, Sukmoon"'
Autor:
Huh, Sukmoon, Jeong, Min-Gyo
We study the logarithmic vector bundles associated to arrangements of smooth irreducible curves with small degree on the blow-up of the projective plane at one point. We then investigate whether they are Torelli arrangements, that is, they can be rec
Externí odkaz:
http://arxiv.org/abs/2302.08778
We define the notion of generalized logarithmic sheaves on a smooth projective surface, associated to a pair consisting of a reduced curve and some fixed points on it. We then set up the study of the Torelli property in this setting, focusing mostly
Externí odkaz:
http://arxiv.org/abs/2302.07632
In this paper, we regard the smooth quadric threefold $Q_{3}$ as Lagrangian Grassmannian and search for fixed rational curves of low degree in $Q_{3}$ with respect to a torus action, which is the maximal subgroup of the special linear group $\text{SL
Externí odkaz:
http://arxiv.org/abs/2301.11539
Autor:
Ballico, Edoardo, Huh, Sukmoon
We investigate the arrangement of hypersurfaces on a nonsingular varieties whose associated logarithmic vector bundle is arithmetically Cohen-Macaulay (for short, aCM), and prove that the projective space is the only smooth complete intersection with
Externí odkaz:
http://arxiv.org/abs/1902.00599
In this paper we contribute to the construction of families of arithmetically Cohen-Macaulay (aCM) indecomposable vector bundles on a wide range of polarized surfaces $(X,\Oo_X(1))$ for $\Oo_X(1)$ an ample line bundle. In many cases, we show that for
Externí odkaz:
http://arxiv.org/abs/1807.08918
Autor:
Ballico, Edoardo, Huh, Sukmoon
The goal of this article is to prove that every surface with a regular point in the three-dimensional projective space of degree at least four, is of wild representation type under the condition that either $X$ is integral or $\mathrm{Pic}(X) \cong \
Externí odkaz:
http://arxiv.org/abs/1807.08916
We classify the Ulrich vector bundles of arbitrary rank on smooth projective varieties of minimal degree. In the process, we prove the stability of the sheaves of relative differentials on rational scrolls.
Comment: 12 pages; Comments welcome
Comment: 12 pages; Comments welcome
Externí odkaz:
http://arxiv.org/abs/1705.07790
Autor:
Ballico, Edoardo, Huh, Sukmoon
We study various aspects on nontrivial logarithmic co-Higgs structure associated to unstable bundles on algebraic curves. We check several criteria for (non-)existence of nontrivial logarithmic co-Higgs structures and describe their parameter spaces.
Externí odkaz:
http://arxiv.org/abs/1703.04475
Akademický článek
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Autor:
Ballico, Edoardo, Huh, Sukmoon
In this article we introduce a notion of logarithmic co-Higgs sheaves associated to a simple normal crossing divisor on a projective manifold, and show their existence with nilpotent co-Higgs fields for fixed ranks and second Chern classes. Then we d
Externí odkaz:
http://arxiv.org/abs/1609.03733