Showing papers by "Sukmoon Huh published in 2017"
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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
TL;DR: In this paper, it was shown that for any ample line bundle on a smooth complex projective variety with nonnegative Kodaira dimension, the semistability of co-Higgs bundles of implies the semi-essence of bundles.
Abstract: We show that for any ample line bundle on a smooth complex projective variety with nonnegative Kodaira dimension, the semistability of co-Higgs bundles of implies the semistability of bundles. Then we investigate the criterion for surface $X$ to have $H^0(T_X) = H^0(S^2 T_X) = 0$, which implies that any co-Higgs structure of rank two is nilpotent.
4 citations
TL;DR: In this article, a special type of arithmetric Cohen-Macaulay sheaves of rank two on reducible and reduced quadric hypersurfaces is classified as a wild type.
2 citations
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TL;DR: In this paper, the authors studied various aspects on nontrivial logarithmic co-Higgs structures associated to unstable bundles on algebraic curves and investigated the Segre invariants of these structures.
Abstract: 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. We also investigate the Segre invariants of these structures and see their non-simplicity. In the end we also study the higher dimensional case, specially when the tangent bundle is not semistable.