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Unirational surfaces
on the Noether line
Christian Liedtke and Matthias Schütt |
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Vol. 239 (2009), No. 2, 343–356
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Abstract |
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We show that among simply connected surfaces of general type unirationality is a common feature, even when fixing the positive characteristic or numerical invariants. To do so, we construct unirational Horikawa surfaces in abundance. |
Keywords
unirationality, Lüroth problem, Noether–Horikawa surface
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Mathematical Subject Classification 2000
Primary: 14M20, 14J29
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Milestones
Received: 16 June 2008
Revised: 10 September 2008
Accepted: 11 September 2008
Published: 27 November 2008
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Authors |
| Christian Liedtke | |
| Mathematisches Institut Universität Düsseldorf Universitätsstraße 1 40225 Düsseldorf Germany |
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| Matthias Schütt | |
| Department of Mathematical
Sciences University of Copenhagen Universitetspark 5 2100 Copenhagen Denmark |
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