GALOIS COVERINGS OF THE PLANE BY K3 SURFACES
نویسندگان
چکیده
منابع مشابه
Group Actions, Cyclic Coverings and Families of K3-surfaces
In this paper we describe six pencils of K3-surfaces which have large Picardnumber (15 ≤ ρ ≤ 20) and contain precisely five singular fibers: four have A-D-E singularities and one is non-reduced. In particular we describe these surfaces as cyclic coverings of the K3-surfaces of [BS]. In many cases using this description and latticetheory we are able to compute the exact Picard-number and to desc...
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Of course, smooth surfaces of degree 4 are one type of K3 surface. (For those who don’t know, a K3 surface is a (smooth) surface X which is simply connected and has trivial canonical bundle. Such surfaces satisfy χ(OX ) = ∞, and for every divisor D on X, D · D is an even integer.) We first try a very straightforward approach to this problem. Let C be any smooth curve of genus 3, and let Z be an...
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Being surfaces of intermediate type, i.e., neither geometrically rational or ruled, nor of general type, K3 surfaces have a rich yet accessible arithmetic theory, which has started to come into focus over the last fifteen years or so. These notes, written to accompany a 4-hour lecture series at the 2015 Arizona Winter School, survey some of these developments, with an emphasis on explicit metho...
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ژورنال
عنوان ژورنال: Kyushu Journal of Mathematics
سال: 2005
ISSN: 1340-6116
DOI: 10.2206/kyushujm.59.393