Classification of extremal elliptic K3 surfaces and fundamental groups of open K3 surfaces

By Ichiro Shimada, De-Qi Zhang. Nagoya mathematical journal, 2000

108 citations recorded by the source corpus.

We present a complete list of extremal elliptic K3 surfaces (Theorem 1.1). As an application, we give a sufficient condition for the topological fundamental group of complement to an ADE-configuration of smooth rational curves on a K3 surface to be trivial (Proposition 4.1 and Theorem 4.3).

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/316efbd6768b79c4efae834e2e6dd8e8f540acdc

How researchers see this paper

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In Geometry and Topology

1. D. Huybrechts
2. M. Schuett
3. T. Shioda
4. Qiang Ye
5. E. Markman
6. Kieran G. O’Grady
7. P. Stellari
8. Emanuele Macrì

In Mathematical Physics

1. D. Huybrechts
2. T. Shioda
3. Qiang Ye
4. M. Schuett
5. P. Stellari
6. Emanuele Macrì
7. E. Markman
8. Keiji Oguiso

Citations in the corpus

• Lectures on K3 Surfaces (2016, background): “Extremal elliptic K3 surfaces have been classified in terms of lattices by Shimada and Zhang in [554].”
• On Gorenstein log del Pezzo Surfaces (2001, methodology): “For extremal elliptic K3 surfaces, we refer to [ATZ], [MP1], [MP2], [ SZ ] and [Ye].”
• Elliptic Surfaces (2009, background): “• In [89], Shimada and Zhang classify all extremal elliptic K3 surfaces.”