Articoli correlati a Local Dynamics of Non-invertible Maps Near Normal Surface...
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Gignac and Ruggiero study the problem of finding algebraically stable models for non-invertible holomorphic fixed point germs f: (X,x0) to (X,x0), where X is a complex surface having x0 as a normal singularity. Their topics include normal surface singularities and their valuation spaces, dynamics on valuation spaces, dynamics of non-invertible finite germs, algebraic stability, attraction rates, and examples and remarks. Annotation ©2022 Ringgold, Inc., Portland, OR (protoview.com)
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Local Dynamics of Non-Invertible Maps Near Normal Surface Singularities
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Local Dynamics of Non-Invertible Maps Near Normal Surface Singularities
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American Mathematical Society, US, 2022
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ISBN 13: 9781470449582
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Paperback. Condizione: 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. Codice articolo LU-9781470449582
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Local Dynamics of Non-invertible Maps Near Normal Surface Singularities: July 2021; Number 1337 (Seventh of 7 Numbers)
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Local Dynamics Of Non-invertible Maps Ne
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Local Dynamics Of Non-invertible Maps Ne
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Local Dynamics of Non-Invertible Maps Near Normal Surface Singularities
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American Mathematical Society, 2021
ISBN 10: 1470449587
ISBN 13: 9781470449582
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Local Dynamics of Non-Invertible Maps Near Normal Surface Singularities
Editore:
American Mathematical Society, US, 2022
ISBN 10: 1470449587
ISBN 13: 9781470449582
Nuovo
Paperback
Da: Rarewaves.com UK, London, Regno Unito
Valutazione del venditore 5 su 5 stelle
Paperback. Condizione: 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. Codice articolo LU-9781470449582
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