We prove several index theorems for holomorphic self-maps having positive-dimensional fixed points set. To do so we show that the fixed points set of a holomorphic self-map has a surprisingly rich structure, expressed by canonically defined meromorphic connections and bundle maps. Finally, we present some applications to holomorphic dynamics
We investigate the dynamical behaviour of a holomorphic map on a $f-$invariant subset $C$ of $U,$ wh...
Open Access. Click on the DOI link to access the article at the publisher's website.We study fixed p...
AbstractIn this paper, we will study a conjecture on fixed-point indices of mappings in cones propos...
This chapter uses techniques from the theory of local dynamics of holomorphic germs tangent to the i...
Let $M$ be a complex manifold and $S\subset M$ a (possibly singular) subvariety of $M$. Let $f\colon...
Let $M$ be a complex manifold and $S\subset M$ a (possibly singular) subvariety of $M$. Let $f\colon...
Let $M$ be a complex manifold and $S\subset M$ a (possibly singular) subvariety of $M$. Let $f\colon...
Let $M$ be a complex manifold and $S\subset M$ a (possibly singular) subvariety of $M$. Let $f\colon...
We describe a general construction providing index theorems localizing the Chern classes of the norm...
We describe a general construction providing index theorems localizing the Chern classes of the norm...
We describe a general construction providing index theorems localizing the Chern classes of the norm...
Let f be a (germ of) holomorphic self-map of C-2 such that the origin is an isolated fixed point and...
AbstractLet f be a smooth self-map of Rm, when m is an arbitrary natural number. We give a complete ...
Let M be a n-dimensional complex manifold, let S be a globally irreducible compact analytic hypersur...
We prove an index theorem for inhomogeneous differential operators satisfying the Rockland condition...
We investigate the dynamical behaviour of a holomorphic map on a $f-$invariant subset $C$ of $U,$ wh...
Open Access. Click on the DOI link to access the article at the publisher's website.We study fixed p...
AbstractIn this paper, we will study a conjecture on fixed-point indices of mappings in cones propos...
This chapter uses techniques from the theory of local dynamics of holomorphic germs tangent to the i...
Let $M$ be a complex manifold and $S\subset M$ a (possibly singular) subvariety of $M$. Let $f\colon...
Let $M$ be a complex manifold and $S\subset M$ a (possibly singular) subvariety of $M$. Let $f\colon...
Let $M$ be a complex manifold and $S\subset M$ a (possibly singular) subvariety of $M$. Let $f\colon...
Let $M$ be a complex manifold and $S\subset M$ a (possibly singular) subvariety of $M$. Let $f\colon...
We describe a general construction providing index theorems localizing the Chern classes of the norm...
We describe a general construction providing index theorems localizing the Chern classes of the norm...
We describe a general construction providing index theorems localizing the Chern classes of the norm...
Let f be a (germ of) holomorphic self-map of C-2 such that the origin is an isolated fixed point and...
AbstractLet f be a smooth self-map of Rm, when m is an arbitrary natural number. We give a complete ...
Let M be a n-dimensional complex manifold, let S be a globally irreducible compact analytic hypersur...
We prove an index theorem for inhomogeneous differential operators satisfying the Rockland condition...
We investigate the dynamical behaviour of a holomorphic map on a $f-$invariant subset $C$ of $U,$ wh...
Open Access. Click on the DOI link to access the article at the publisher's website.We study fixed p...
AbstractIn this paper, we will study a conjecture on fixed-point indices of mappings in cones propos...