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Sukmoon Huh

Bio: Sukmoon Huh is an academic researcher from Sungkyunkwan University. The author has contributed to research in topics: Vector bundle & Chern class. The author has an hindex of 7, co-authored 49 publications receiving 147 citations. Previous affiliations of Sukmoon Huh include Korea Institute for Advanced Study.


Papers
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Journal ArticleDOI
TL;DR: The moduli spaces of stable sheaves on a smooth quadric surface with linear Hilbert bipolynomial in some special cases are investigated and their geometry is described in terms of the locally free resolution of the sheaves.
Abstract: We investigate the moduli spaces of stable sheaves on a smooth quadric surface with linear Hilbert bipolynomial in some special cases and describe their geometry in terms of the locally free resolution of the sheaves.

19 citations

Journal ArticleDOI
14 Jun 2019
TL;DR: In this article, the stability of the sheaves of relative differentials on rational scrolls has been shown to be stable on smooth projective varieties of minimal degree, and it has also been shown that they can be used to classify the Ulrich vector bundles of arbitrary rank.
Abstract: 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.

16 citations

Journal ArticleDOI
TL;DR: In this article, the existence of globally generated vector bundles of rank 2 with c 1 ≤ 3 on a smooth quadric was investigated and the Chern classes of these bundles were determined.

14 citations

Journal ArticleDOI
TL;DR: In this paper, the authors investigated the logarithmic bundles associated to arrangements of hypersurfaces with a fixed degree in a smooth projective variety and proved a Torelli type theorem in some cases.
Abstract: We investigate the logarithmic bundles associated to arrangements of hypersurfaces with a fixed degree in a smooth projective variety. We then specialize to the case when the variety is a quadric hypersurface and a multiprojective space to prove a Torelli type theorem in some cases.

9 citations

Posted Content
TL;DR: In this paper, the stability of the sheaves of relative differentials on rational scrolls has been shown for smooth projective varieties of minimal degree, and it has also been shown that the stable sheaves can be computed on rational scroll.
Abstract: 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

8 citations


Cited by
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Book
01 Jan 1994
TL;DR: In this paper, the authors present a legal opinion on the applicability of commercial or impression systématiques in the context of the agreement of publication mathématique de l'I.H.S.
Abstract: © Publications mathématiques de l’I.H.É.S., 1994, tous droits réservés. L’accès aux archives de la revue « Publications mathématiques de l’I.H.É.S. » (http:// www.ihes.fr/IHES/Publications/Publications.html) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.

203 citations

Journal ArticleDOI
TL;DR: In this article, the authors extend the main result of Sierra and Ugaglia (2009) and classify globally generated vector bundles on Pn with first Chern class equal to 3.

41 citations

Journal ArticleDOI
TL;DR: In this article, the first Chern class c1 = 3, rank = 2 with codimension 2 lci subschemes and its generalization for higher ranks, considered firstly by Vogelaar in [48] was considered.
Abstract: One classifies the globally generated vector bundles on with the first Chern class c1 = 3. The case c1 = 1 is very easy, the case c1 = 2 was done in [42], the case c1 = 3, rank =2 was settled in [21] and the case c1 ≤ 5, rank = 2 in [10]. Our work is based on Serre's theorem relating vector bundles of rank = 2 with codimension 2 lci subschemes and its generalization for higher ranks, considered firstly by Vogelaar in [48].

19 citations

Journal ArticleDOI
TL;DR: In this paper, the authors studied the orbits of vector spaces of skew-symmetric matrices of constant rank 2 r and type ( N + 1 ) × ( N+ 1 ) over an algebraically closed field of characteristic zero.

18 citations

Journal ArticleDOI
TL;DR: In this article, the irreducible components of the moduli space of instanton sheaves on the rank 2 torsion free sheaves were studied, where the modulus space of stable sheaves was studied.
Abstract: We study the irreducible components of the moduli space of instanton sheaves on $\mathbb{P}^3$, that is rank 2 torsion free sheaves $E$ with $c_1(E)=c_3(E)=0$ satisfying $h^1(E(-2))=h^2(E(-2))=0$. In particular, we classify all instanton sheaves with $c_2(E)\le4$, describing all the irreducible components of their moduli space. A key ingredient for our argument is the study of the moduli space ${\mathcal T}(d)$ of stable sheaves on $\mathbb{P}^3$ with Hilbert polynomial $P(t)=d\cdot t$, which contains, as an open subset, the moduli space of rank 0 instanton sheaves of multiplicity $d$; we describe all the irreducible components of ${\mathcal T}(d)$ for $d\le4$.

17 citations