English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In the first part of this paper we give a survey of classical results onKummer surfaces with Picard number 17 from the point of view of lattice theory.We prove ampleness properties for certain divisors on Kummer surfaces and weuse them to describe projective models of Kummer surfaces of (1,d)-polarizedAbelian surfaces for d=1,2,3. As a consequence we prove that in these cases theN\'eron--Severi group can be generated by lines. In the second part of thepaper we use Kummer surfaces to obtain results on K3 surfaces with a symplecticaction of the group (\Z/2\Z)^4. In particular we describe the possibleN\'eron--Severi groups of the latter in the case that the Picard number is 16,which is the minimal possible. We describe also the N\'eron--Severi groups ofthe minimal resolution of the quotient surfaces which have 15 nodes. We extendcertain classical results on Kummer surfaces to these families.

Kummer surfaces and K3 surfaces with (Z/2Z)^4 symplectic action