On the fundamental group of the fixed points of an unipotent action.
Daniel Gross (1988)
Manuscripta mathematica
Takashi Tsuboi (2009)
Annales scientifiques de l'École Normale Supérieure
The group of real analytic diffeomorphisms of a real analytic manifold is a rich group. It is dense in the group of smooth diffeomorphisms. Herman showed that for the -dimensional torus, its identity component is a simple group. For fibered manifolds, for manifolds admitting special semi-free actions and for 2- or 3-dimensional manifolds with nontrivial actions, we show that the identity component of the group of real analytic diffeomorphisms is a perfect group.
Masaki Kashiwara (1978)
Inventiones mathematicae
E. Backelin (1996)
Mathematica Scandinavica
Edoardo Ballico, Giorgio Bolondi (1983)
Rendiconti del Seminario Matematico della Università di Padova
Mogens Esrom Larsen (1973)
Mathematica Scandinavica
Sławomir Rams (2000)
Annales Polonici Mathematici
We prove that the generalized index of intersection of an analytic set with a closed submanifold (Thm. 4.3) and the intersection product of analytic cycles (Thm. 5.4), which are defined in [T₂], are intrinsic. We define the intersection product of analytic cycles on a reduced analytic space (Def. 5.8) and prove a relation of its degree and the exponent of proper separation (Thm. 6.3).
Maciej P. Denkowski, Rafał Pierzchała (2008)
Annales Polonici Mathematici
We discuss some conditions which guarantee that the Kuratowski limit of a sequence of analytic sets is a Nash set.
Sȩkalski, Maciej (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
Jacek Chądzyński, Tadeusz Krasiński (1998)
Banach Center Publications
An effective formula for the Łojasiewicz exponent for analytic curves in a neighbourhood of 0 ∈ ℂ is given.
Andrzej Lenarcik (1998)
Banach Center Publications
The Łojasiewicz exponent of the gradient of a convergent power series h(X,Y) with complex coefficients is the greatest lower bound of the set of λ > 0 such that the inequality holds near for a certain c > 0. In the paper, we give an estimate of the Łojasiewicz exponent of grad h using information from the Newton diagram of h. We obtain the exact value of the exponent for non-degenerate series.
S.M. Webster (1978)
Mathematische Annalen
Denkowski, Maciej P. (2007)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
Shiing-Shen Chern (1975)
Mathematica Scandinavica
Francesca Acquistapace, Fabrizio Broglia, José F. Fernando, Jesús M. Ruiz (2005)
Annales scientifiques de l'École Normale Supérieure
Jesùs M. Ruiz (1986)
Publications mathématiques et informatique de Rennes
Alberto Tancredi, Alberto Tognoli (1998)
Revista Matemática Complutense
F.R. Harvey, J.R. King (1971/1972)
Inventiones mathematicae
Olle Stormark (1982)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Mogens Esrom Larsen (1973)
Inventiones mathematicae