Sukmoon Huh

ORCID: 0000-0001-9604-8313
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Research Areas
  • Algebraic Geometry and Number Theory
  • Advanced Algebra and Geometry
  • Geometry and complex manifolds
  • Algebraic structures and combinatorial models
  • Homotopy and Cohomology in Algebraic Topology
  • Commutative Algebra and Its Applications
  • Polynomial and algebraic computation
  • Advanced Combinatorial Mathematics
  • Tensor decomposition and applications
  • Nonlinear Waves and Solitons
  • Advanced Differential Equations and Dynamical Systems
  • Geometric Analysis and Curvature Flows
  • Endometrial and Cervical Cancer Treatments
  • Advanced Numerical Analysis Techniques
  • Advanced Topics in Algebra
  • Distributed and Parallel Computing Systems
  • Meromorphic and Entire Functions
  • Semantic Web and Ontologies
  • Advanced Radiotherapy Techniques
  • Finite Group Theory Research
  • Geometric and Algebraic Topology
  • Advanced Database Systems and Queries
  • Hernia repair and management
  • MRI in cancer diagnosis
  • Colorectal Cancer Surgical Treatments

Sungkyunkwan University
2014-2024

University of Trento
2017

Korea Institute for Advanced Study
2007-2010

Korea Advanced Institute of Science and Technology
1995-2007

Samsung Medical Center
2004-2007

Columbia University
1979

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 terms locally free resolution sheaves.

10.1155/2014/346126 article EN cc-by The Scientific World JOURNAL 2014-01-01

We classify Ulrich vector bundles of arbitrary rank on smooth projective varieties minimal degree. In the process, we prove stability sheaves relative differentials rational scrolls.

10.1090/proc/14640 article EN publisher-specific-oa Proceedings of the American Mathematical Society 2019-04-10

Journal Article A TORELLI-TYPE PROBLEM FOR LOGARITHMIC BUNDLES OVER PROJECTIVE VARIETIES Get access E. Ballico, Ballico Università di Trento, 38123 Povo (TN), Italy Search for other works by this author on: Oxford Academic Google Scholar S. Huh, Huh ‡ Sungkyunkwan University, 300 Cheoncheon-dong, Suwon 440-746, South Korea ‡Corresponding author. E-mail: sukmoonh@skku.edu F. Malaspina Politecnico Torino, Corso Duca degli Abruzzi 24, 10129 The Quarterly of Mathematics, Volume 66, Issue 2, June...

10.1093/qmath/hau034 article EN The Quarterly Journal of Mathematics 2014-12-08

10.1016/j.jpaa.2010.11.018 article EN publisher-specific-oa Journal of Pure and Applied Algebra 2011-01-12

Abstract We classify all the embeddings of \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb {P}_n$\end{document} in a Grassmannian Gr (1, N ) such that composition with Plücker embedding is given by linear system cubics on . As direct corollary, we prove every vector bundle giving an embedding, splits if n ⩾ 3. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim

10.1002/mana.200810234 article EN Mathematische Nachrichten 2011-06-14

10.1007/s00229-018-1045-9 article EN manuscripta mathematica 2018-06-11

We classify globally generated vector bundles on with small first Chern class, i.e. , . Our main method is to investigate the associated smooth curves via Hartshorne–Serre correspondence.

10.1002/mana.201500077 article EN Mathematische Nachrichten 2015-11-05

We show that for any ample line bundle on a smooth complex projective variety with nonnegative Kodaira dimension, the semistability of co-Higgs bundles implies bundles. Then we investigate criterion surface $X$ to have $H^0(T_X) = H^0(S^2 T_X) 0$, which structure rank two is nilpotent.

10.11650/tjm/7834 article EN Taiwanese Journal of Mathematics 2017-03-01

10.1016/j.jalgebra.2015.11.021 article EN publisher-specific-oa Journal of Algebra 2015-12-06

We investigate the globally generated vector bundles on complete intersection Calabi-Yau threefolds with first Chern class at most 2. classify all of an arbitrary rank quintic in P 4 and 2 codimension

10.4310/atmp.2016.v20.n5.a6 article EN Advances in Theoretical and Mathematical Physics 2016-01-01

10.1007/s00025-024-02157-9 article EN Results in Mathematics 2024-04-13
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