| |
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNIORUON00257602 |
|
|
Titolo |
Café chantant / Michle L. Straniero |
|
|
|
|
|
Pubbl/distr/stampa |
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
2. |
Record Nr. |
UNINA9910972376703321 |
|
|
Autore |
Gignac William |
|
|
Titolo |
Local Dynamics of Non-Invertible Maps near Normal Surface Singularities |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Providence : , : American Mathematical Society, , 2021 |
|
©2021 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
|
|
Edizione |
[1st ed.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (118 pages) |
|
|
|
|
|
|
Collana |
|
Memoirs of the American Mathematical Society ; ; v.272 |
|
|
|
|
|
|
Classificazione |
|
32S0532H5013A1837P5032S45 |
|
|
|
|
|
|
Altri autori (Persone) |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Singularities (Mathematics) |
Holomorphic mappings |
Germs (Mathematics) |
Holomorphic functions |
Several complex variables and analytic spaces -- Singularities -- Local singularities |
Several complex variables and analytic spaces -- Holomorphic mappings and correspondences -- Iteration problems |
Commutative algebra -- General commutative ring theory -- Valuations and their generalizations |
Dynamical systems and ergodic theory -- Arithmetic and non-Archimedean dynamical systems -- Dynamical systems on Berkovich spaces |
Several complex variables and analytic spaces -- Singularities -- Modifications; resolution of singularities |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references. |
|
|
|
|
|
|
Nota di contenuto |
|
Normal surface singularities, resolutions, and intersection theory -- Normal surface singularities and their valuation spaces -- Log discrepancy, essential skeleta, and special singularities -- Dynamics on valuation spaces -- Dynamics of non-finite germs -- Dynamics of non-invertible finite germs -- Algebraic stability -- Attraction rates -- Examples and remarks. |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
"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 f N 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"-- |
|
|
|
|
|
|
|
| |