- 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.
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.
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...
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
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.
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.
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