On birational transformations of pairs in the complex plane

Blanc, Jeremy; Pan, Ivan; Vust, Thierry

doi:10.1007/s10711-008-9316-3

Scientific article

English

On birational transformations of pairs in the complex plane

ContributorsBlanc, Jeremy; Pan, Ivan; Vust, Thierry

Published inGeometriae dedicata, vol. 139, p. 57-73

Publication date2009

Abstract

This article deals with the study of the birational transformations of the projective complex plane which leave invariant an irreducible algebraic curve. We try to describe the state of art and provide some new results on this subject.

Classification

arxiv : math.AG

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

BLANC, Jeremy, PAN, Ivan, VUST, Thierry. On birational transformations of pairs in the complex plane. In: Geometriae dedicata, 2009, vol. 139, p. 57–73. doi: 10.1007/s10711-008-9316-3

Article (Published version)

Identifiers

PID : unige:6707
DOI : 10.1007/s10711-008-9316-3
arXiv : 0804.0933

Journal ISSN0046-5755

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Update time14/03/2023 15:29:22

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On birational transformations of pairs in the complex plane

This article deals with the study of the birational transformations of the projective complex plane which leave invariant an irreducible algebraic curve. We try to describe the state of art and provide some new results on this subject.

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