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Transcendental lattices of some K 3-surfaces

โœ Scribed by Alessandra Sarti

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
339 KB
Volume
281
Category
Article
ISSN
0025-584X

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โœฆ Synopsis

Abstract

In a previous paper, [12], we described six families of K 3โ€surfaces (over โ„‚) with Picardโ€number 19, and we identified surfaces with Picardโ€number 20. In these notes we classify some of the surfaces by computing their transcendental lattices. Moreover, we show that the surfaces with Picardโ€number 19 are birational to a Kummer surface which is the quotient of a nonโ€product type abelian surface by an involution. (ยฉ 2008 WILEYโ€VCH Verlag GmbH & Co. KGaA, Weinheim)

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