Matteo Ruggiero's home page

Links

• List of my articles on Arxiv.
• List of my articles on MathSciNet.
• List of my articles on Hal.

List of prints and preprints

• Dynamics of foliations in the Siegel domain. In: M.Abate (editor), "Local dynamics of singular holomorphic foliations". Edizioni ETS, 2009. pdf
• Rigidification of holomorphic germs with non-invertible differential. Michigan Mathematical Journal, Volume 61 Issue 1, pp. 161-185, 2012. pdf link arxiv
• Contracting rigid germs in higher dimensions. Annales de l'Institut Fourier, Volume 63 no. 5, pp. 1913-1950, 2013. pdf link arxiv
• with William Gignac - Growth of attraction rates for iterates of a superattracting germ in dimension two. Indiana University Mathematics Journal, Volume 63 no. 4, pp. 1195-1234, 2014. pdf link arxiv
• with Charles Favre - Normal surface singularities admitting contracting automorphisms. Annales Mathématiques de la faculté des sciences de Toulouse, Volume 23 no. 4, pp. 797-828, 2014. pdf link arxiv
• Classification of one-dimensional superattracting germs in positive characteristic. Ergodic Theory and Dynamical Systems, Volume 35, Issue 07, pp. 2242-2268, 2015. pdf link arxiv
• Rigid germs, the valuative tree, and applications to Kato varieties. PHD thesis. Edizioni Scuola Normale, Volume 20, 2015. link
• with Kristin Shaw - Tropical Hopf manifolds and contracting germs. Manuscripta Mathematica, Volume 52, Issue 01-02, pp. 1-60, 2017. pdf link arxiv
• with William Gignac - Local dynamics of non-invertible maps near normal surface singularities. Memoirs of the AMS, Volume 272, Number 1337, 2021. pdf link arxiv
• with Evelia García-Barroso, Pedro González Pérez, Patrick Popescu-Pampu - Ultrametric properties for valuation spaces of normal surface singularities. Transactions of the AMS, Volume 372, Issue 12, pp. 8423-8475, 2019. pdf link arxiv
• with Lorenzo Fantini, Charles Favre - Links of sandwiched surface singularities and self-similarity. Manuscripta Mathematica, Volume 162, Issue 1-2, pp. 23-65, 2020. pdf link arxiv
• with Nicolina Istrati, Alexandra Otiman, Massimiliano Pontecorvo - Toric Kato manifolds. Journal de l'\'Ecole polytechnique, Volume 9, pp. 1347--1395, 2022. pdf link arxiv
• with Samuele Mongodi - Birational properties of tangent to the identity germs without non-degenerate singular directions. Journal of the London Mathematical Society, pp. 1--55, 2023. pdf link arxiv
• with Romain Dujardin and Charles Favre - On the dynamical Manin-Mumford conjecture for plane polynomial maps. Preprint, 2023. pdf arxiv

Thesis

• Struttura dell'insieme di Julia per polinomi. Bachelor thesis. 2005. pdf
• Studio della dinamica locale dei punti fissi superattrattivi in C^2 tramite l'albero delle valutazioni. Master thesis. 2007. pdf
• The valuative tree, rigid germs and Kato varieties. PhD thesis. 2011. pdf
• Dynamical singularities. HDR memoir. 2024. pdf

Copyright © All rights reserved by the publishing house of the reviews indicated for accepted papers.

List of my collaborators

Romain Dujardin	Lorenzo Fantini
Charles Favre	Evelia García Barroso
William Gignac	Pedro González Pérez
Nicolina Istrati	Samuele Mongodi
Alexandra Otiman	Massimiliano Pontecorvo
Patrick Popescu-Pampu	Kristin Shaw

Last update: 03.04.2024