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Transcendental lattices of some K 3‐surfaces
Author(s) -
Sarti Alessandra
Publication year - 2008
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200510657
Subject(s) - mathematics , transcendental number , quotient , involution (esoterism) , abelian group , pure mathematics , algebra over a field , mathematical analysis , epistemology , consciousness , philosophy
In a previous paper, [12], we described six families of K 3‐surfaces (over ℂ) with Picard‐number 19, and we identified surfaces with Picard‐number 20. In these notes we classify some of the surfaces by computing their transcendental lattices. Moreover, we show that the surfaces with Picard‐number 19 are birational to a Kummer surface which is the quotient of a non‐product type abelian surface by an involution. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)