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Abstract: . We present a complete list of extremal elliptic K3surfaces (Theorem 1.1). As an application, we give a su#cient condition for the topological fundamental group of complement to an ADE-configuration of smooth rational curves on a K3surface to be trivial (Proposition 4.1 and Theorems 4.3). 1.I#I# oduction Acompl#; el#pl#;- 3 surface f : X # P 1 with a section O is said to be extremal if the Picard number #(X)ofX is 20 and theMordel#7N eil group MW f of f is finite. The purpose of this... (Update)
Context of citations to this paper: More
...Torelli theorem. By a similar method, the complete list of configurations of singular fibers on complex elliptic K3 surfaces has been obtained in [25] and [24] In [9] the maximal configurations of ordinary nodes on rational surfaces in characteristic 2 are investigated. The...
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BibTeX entry: (Update)
I. Shimada and De-Qi Zhang, Classification of extremal elliptic K3 surfaces and fundamental groups of open K3 surfaces, Nagoya Math. J. 161 (2001), 23--54. http://citeseer.ist.psu.edu/shimada01classification.html More
@misc{ shimada01classification,
author = "I. Shimada and D. Zhang",
title = "Classification of extremal elliptic K3 surfaces and fundamental groups
of open K3 surfaces",
text = "I. Shimada and De-Qi Zhang, Classification of extremal elliptic K3 surfaces
and fundamental groups of open K3 surfaces, Nagoya Math. J. 161 (2001),
23--54.",
year = "2001",
url = "citeseer.ist.psu.edu/shimada01classification.html" }
Citations (may not include all citations):242 Groupes et algebres de Lie (context) - Bourbaki - 1968
16 Grundlehren der Mathematischen Wissenschaften (context) - Conway, Sloane et al. - 1993
1 's problem extremal elliptic K#gGY es# preprint (context) - Tokunaga, Miranda et al.
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