Local Dynamics of Non-invertible Maps Near Normal Surface Singularities - Couverture souple

Gignac, William ; Ruggiero, Matteo

9781470449582: Local Dynamics of Non-invertible Maps Near Normal Surface Singularities

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ISBN 10 : 1470449587 ISBN 13 : 9781470449582

Editeur : American Mathematical Society, 2022

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We study the problem of finding algebraically stable models for non-invertible holomorphic fixed point germs f : (X, x0) --> (X, x0), where X is a complex surface having x0 as a normal singularity. We prove that as long as x0 is not a cusp singularity of X, then it is possible to find arbitrarily high modifications ?: X? --> (X, x0) such that the dynamics of f (or more precisely of fN for N big enough) on X? is algebraically stable. This result is proved by understanding the dynamics induced by f on a space of valuations associated to X; in fact, we are able to give a strong classification of all the possible dynamical behaviors of f on this valuation space. We also deduce a precise description of the behavior of the sequence of attraction rates for the iterates of f . Finally, we prove that in this setting the first dynamical degree is always a quadratic integer.

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� propos de l'auteur

William Gignac, University of Michigan, Ann Arbor, MI.

Matteo Ruggiero, University of Torino, Italy.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: American Mathematical Society
Date d'�dition: 2022
Langue: anglais
ISBN 10: 1470449587
ISBN 13: 9781470449582
Reliure: Broch�
Nombre de pages: 277
Coordonn�es du fabricant: non disponible
Personne responsable: non disponible

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Local Dynamics of Non-Invertible Maps Near Normal Surface Singularities

William Gignac

Edit� par MP-AMM American Mathematical, 2022

ISBN 10 : 1470449587 ISBN 13 : 9781470449582

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Local Dynamics of Non-Invertible Maps Near Normal Surface Singularities

William Gignac, Matteo Ruggiero

Edit� par American Mathematical Society, US, 2022

ISBN 10 : 1470449587 ISBN 13 : 9781470449582

Neuf Paperback

Vendeur : Rarewaves.com USA, London, LONDO, Royaume-Uni

�valuation du vendeur 5 sur 5 �toiles

Paperback. Etat : New. We study the problem of finding algebraically stable models for non-invertible holomorphic fixed point germs f : (X, x0) -- (X, x0), where X is a complex surface having x0 as a normal singularity. We prove that as long as x0 is not a cusp singularity of X, then it is possible to find arbitrarily high modifications ?: X? -- (X, x0) such that the dynamics of f (or more precisely of fN for N big enough) on X? is algebraically stable. This result is proved by understanding the dynamics induced by f on a space of valuations associated to X; in fact, we are able to give a strong classification of all the possible dynamical behaviors of f on this valuation space. We also deduce a precise description of the behavior of the sequence of attraction rates for the iterates of f . Finally, we prove that in this setting the first dynamical degree is always a quadratic integer. N� de r�f. du vendeur LU-9781470449582

Contacter le vendeur