Lazarsfeld-Mukai Bundles on K3 Surfaces Associated with a Pencil Computing the Clifford Index
نویسندگان
چکیده
Let X be a smooth projective K3 surface over the complex numbers and let C an ample curve on . In this paper we will study semistability of Lazarsfeld-Mukai bundle E C,A associated to line A such that |A| is pencil computes Clifford index We give necessary sufficient condition for semistable.
منابع مشابه
Unstable Lazarsfeld-Mukai bundles of rank 2 on a certain K3 surface of Picard number 2
Let g and c be any integers satisfying g ≥ 3 and 0 ≤ c ≤ ⌊ 2 ⌋. It is known that there exists a polarized K3 surface (X,H) such that X is a K3 surface of Picard number 2, and H is a very ample line bundle on X of sectional genus g and Clifford index c, by Johnsen and Knutsen([J-K] and [Kn]). In this paper, we give a necessary and sufficient condition for a Lazarsfeld-Mukai bundles of rank 2 ass...
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ژورنال
عنوان ژورنال: Studia Scientiarum Mathematicarum Hungarica
سال: 2022
ISSN: ['0081-6906', '1588-2896']
DOI: https://doi.org/10.1556/012.2022.01518