Local dynamics of non-invertible maps near normal surface singularities

Local dynamics of non-invertible maps near normal surface singularities [electronic resource] / William Gignac, Matteo Ruggiero.

"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...

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Main Authors: Gignac, William (Author), Ruggiero, Matteo Luca (Author)
Format: Electronic eBook
Language:English
Published: Providence, RI : AMS, American Mathematical Society, 2021.
Series:Memoirs of the American Mathematical Society, volume 272, number 1337 (July 2021)
Subjects:
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.

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