Unirational surfaces on the noether line

Christian Liedtke; Matthias Schütt

doi:10.2140/pjm.2009.239.343

Unirational surfaces on the noether line

Christian Liedtke
, Matthias Schütt

Universitä t Düsseldorf
University of Copenhagen

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	343-356
Number of pages	14
Journal	Pacific Journal of Mathematics
Volume	239
Issue number	2
DOIs	https://doi.org/10.2140/pjm.2009.239.343
State	Published - Feb 2009
Externally published	Yes

Keywords

Lüroth problem
Noether-Horikawa surface
Unirationality

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10.2140/pjm.2009.239.343

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abstract = "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 = "L{\"u}roth problem, Noether-Horikawa surface, Unirationality",

author = "Christian Liedtke and Matthias Sch{\"u}tt",

year = "2009",

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AB - 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.

KW - Lüroth problem

KW - Noether-Horikawa surface

KW - Unirationality

UR - https://www.scopus.com/pages/publications/70349775556

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DO - 10.2140/pjm.2009.239.343

M3 - Article

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VL - 239

SP - 343

EP - 356

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 2

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Unirational surfaces on the noether line

Abstract

Keywords

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