K3 surfaces with non-symplectic automorphisms of prime order
Artebani, Michela ; Sarti, Alessandra ; Taki, Shingo
arXiv, 0903.3481 / Harvested from arXiv
Text on arXiv
In this note we present the classification of non-symplectic automorphisms of prime order on K3 surfaces, i.e.we describe the topological structure of their fixed locus and determine the invariant lattice in cohomology. We provide new results for automorphisms of order 5 and 7 and alternative proofs for higher orders. Moreover, for any prime p, we identify the irreducible components of the moduli space of K3 surfaces with a non-symplectic automorphism of order p.
Publié le : 2009-03-20
Classification:  Mathematics - Algebraic Geometry,  14J28 (Primary), 14J50 (Secondary), 14J10 
@article{0903.3481,
     author = {Artebani, Michela and Sarti, Alessandra and Taki, Shingo},
     title = {K3 surfaces with non-symplectic automorphisms of prime order},
     journal = {arXiv},
     volume = {2009},
     number = {0},
     year = {2009},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0903.3481}
}

Artebani, Michela; Sarti, Alessandra; Taki, Shingo. K3 surfaces with non-symplectic automorphisms of prime order. arXiv, Tome 2009 (2009) no. 0, . http://gdmltest.u-ga.fr/item/0903.3481/