Brown, Gavin (2006) Graded Rings and Special K3 Surfaces. In: Bosma, W. and Cannon, J.J, eds. Discovering Mathematics with Magma: Reducing the Abstract to the Concrete. Algorithms and Computation in Mathematics, 19 . Springer-Verlag, pp. 137-159. ISBN 978-3-540-37632-3.
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Many recent constructions of varieties, including the lists of K3 surfaces in Magma, use graded ring methods.We show how to apply the method using Magma and, as an application, construct 27 families of K3 surfaces that appear as degenerate cases of surfaces in the usual lists. These are displayed in Tables 1–3 and include both standard degenerations and new examples.
|Item Type:||Book section|
|Subjects:||Q Science > QA Mathematics (inc Computing science)|
|Divisions:||Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Pure Mathematics|
|Depositing User:||G.D. Brown|
|Date Deposited:||05 Sep 2008 13:50|
|Last Modified:||14 Jan 2010 14:41|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/10614 (The current URI for this page, for reference purposes)|
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