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On kth-order embeddings of K3 surfaces and Enriques surfaces

✍ Scribed by Andreas Leopold Knutsen

Publisher
Springer
Year
2001
Tongue
English
Weight
189 KB
Volume
104
Category
Article
ISSN
0025-2611

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πŸ“œ SIMILAR VOLUMES

Fundamental groups of open K3 surfaces,
Fundamental groups of open K3 surfaces, Enriques surfaces and Fano 3-folds
✍ J. Keum; D.-Q. Zhang πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 224 KB

We investigate when the fundamental group of the smooth part of a K3 surface or Enriques surface with Du Val singularities, is ΓΏnite. As a corollary we give an e ective upper bound for the order of the fundamental group of the smooth part of a certain Fano 3-fold. This result supports Conjecture A b

Higher order birational embeddings of De
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✍ Andreas Leopold Knutsen πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 203 KB

## Abstract Let __L__ be a nef line bundle on a Del Pezzo surface. We show that __L__ + __K~S~__ is birationally __k__–very ample if and only if all the smooth curves in |__L__| have gonality β‰₯__k__ + 2, and we also find numerical criteria for birational __k__–very ampleness.

Classification of non-symplectic automor
Classification of non-symplectic automorphisms of order 3 on K3 surfaces
✍ Shingo Taki πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 155 KB

In this paper, we study non-symplectic automorphisms of order 3 on algebraic K3 surfaces over C which act trivially on the NΓ©ron-Severi lattice. In particular we shall characterize their fixed loci in terms of the invariants of 3-elementary lattices.