arXiv Open Access 2016

Index theorems for couples of holomorphic self-maps

Paolo Arcangeli

Lihat Sumber

Abstrak

Let $M$ be a $n$-dimensional complex manifold and $f,g:M\to M$ two distinct holomorphic self-maps. Suppose that $f$ and $g$ coincide on a globally irreducible compact hypersurface $S\subset M$. We show that if one of the two maps is a local biholomorphism around $S'=S-\text{Sing}(S)$ and, if needed, $S'$ sits into $M$ in a particular nice way, then it is possible to define a $1$-dimensional holomorphic (possibly singular) foliation on $S'$ and partial holomorphic connections on certain holomorphic vector bundles on $S'$. As a consequence, we are able to localize suitable characteristic classes and thus to get index theorems.

Topik & Kata Kunci

math.CV math.DG

Penulis (1)

Paolo Arcangeli

Format Sitasi

APA MLA BibTeX

Arcangeli, P. (2016). Index theorems for couples of holomorphic self-maps. https://arxiv.org/abs/1604.01569

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2016
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓