Rational surface automorphisms preserving cuspidal anticanonical curves

Takato Uehara

doi:10.1007/s00208-015-1275-z

Rational surface automorphisms preserving cuspidal anticanonical curves

Takato Uehara

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

3 Citations (Scopus)

Abstract

This article is concerned with automorphisms on rational surfaces. We develop a method for constructing automorphisms in terms of the concept of realization of orbit data, and show that any automorphism preserving a cuspidal anticanonical curve is constructed from a realization of orbit data. Moreover, some properties of automorphisms are discussed.

Original language	English
Pages (from-to)	635-659
Number of pages	25
Journal	Mathematische Annalen
Volume	365
Issue number	1-2
DOIs	https://doi.org/10.1007/s00208-015-1275-z
Publication status	Published - Jun 1 2016
Externally published	Yes

Keywords

14J26
14J50
37F99

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1007/s00208-015-1275-z

Cite this

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abstract = "This article is concerned with automorphisms on rational surfaces. We develop a method for constructing automorphisms in terms of the concept of realization of orbit data, and show that any automorphism preserving a cuspidal anticanonical curve is constructed from a realization of orbit data. Moreover, some properties of automorphisms are discussed.",

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AB - This article is concerned with automorphisms on rational surfaces. We develop a method for constructing automorphisms in terms of the concept of realization of orbit data, and show that any automorphism preserving a cuspidal anticanonical curve is constructed from a realization of orbit data. Moreover, some properties of automorphisms are discussed.

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ER -

Rational surface automorphisms preserving cuspidal anticanonical curves

Abstract

Keywords

ASJC Scopus subject areas

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