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Graded Rings and Special K3 Surfaces

Brown, Gavin D. (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. (doi:10.1007/978-3-540-37634-7_6) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:10614)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
Official URL:
http://dx.doi.org/10.1007/978-3-540-37634-7_6

Abstract

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
DOI/Identification number: 10.1007/978-3-540-37634-7_6
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: G.D. Brown
Date Deposited: 05 Sep 2008 13:50 UTC
Last Modified: 16 Nov 2021 09:49 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/10614 (The current URI for this page, for reference purposes)

University of Kent Author Information

Brown, Gavin D..

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