0 M ay 1 99 9 QUOTIENTS OF K 3 SURFACES
نویسنده
چکیده
Let X be a K3 surface with an involution σ which has non-empty fixed locus X σ and acts non-trivially on a non-zero holomorphic 2-form. We shall construct all such pairs (X, σ) in a canonical way, from some better known double coverings of log del Pezzo surfaces of index ≤ 2 or rational elliptic surfaces, and construct the only family of each of the three extremal case where X σ contains 10 (maximum possible) curves. We also classify rational log Enriques surfaces of index 2.
منابع مشابه
1 0 M ay 1 99 9 QUANTUM n - SPACE AS A QUOTIENT OF CLASSICAL n - SPACE
The prime and primitive spectra of Oq(kn), the multiparameter quantized coordinate ring of affine n-space over an algebraically closed field k, are shown to be topological quotients of the corresponding classical spectra, specO(k) and maxO(k) ≈ k, provided the multiplicative group generated by the entries of q avoids −1.
متن کاملar X iv : m at h / 99 07 02 0 v 1 [ m at h . A G ] 3 J ul 1 99 9 K 3 SURFACES WITH ORDER 11 AUTOMORPHISMS
In the present paper we describe the K3 surfaces admitting order 11 automorphisms and apply this to classify log Enriques surfaces of global index 11.
متن کاملar X iv : a lg - g eo m / 9 50 20 26 v 2 9 M ay 1 99 5 ALGEBRAIC SURFACES AND SEIBERG - WITTEN INVARIANTS
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. A G ] 1 3 M ay 1 99 9 On smooth surfaces in projective four - space lying on quartic hypersurfaces with isolated singularities
Dedicated to Robin Hartshorne in occasion of his 60th birthday.
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