First Chern class and birational germs of Kato surfaces

TL;DR

This paper explores the relationship between the first Chern class coefficients and birational germs in intermediate Kato surfaces, providing insights into their geometric structure.

Contribution

It establishes new connections between the first Chern class and birational germs specifically for intermediate Kato surfaces, advancing understanding of their geometry.

Findings

Relations between Chern class coefficients and birational germs elucidated

New formulas linking geometric invariants of Kato surfaces

Enhanced understanding of the structure of intermediate Kato surfaces

Abstract

We describe some relations between coefficients of irreducible components of the first Chern class [FP15] and birational germs introduced by Dloussky {Dl16] for intermediate Kato surfaces.