On improper isolated intersection in complex analytic geometry

Jet Spaces in Complex Analytic Geometry: an Exposition

In [7] Pillay described the model-theoretic significance of a result in complex analytic geometry due to Campana [1] and Fujiki [2]. These notes are an exposition of the “jet space” constructions that underly the Campana/Fujiki theorem. In particular, we discuss infinitesimal neighbourhoods as well as the sheaves of principal parts, jets, and differential operators. The material is drawn largel...

Lipschitz Geometry of Complex Surfaces: Analytic Invariants and Equisingularity

We prove that the outer Lipschitz geometry of the germ of a normal complex surface singularity determines a large amount of its analytic structure. In particular, it follows that any analytic family of normal surface singularities with constant Lipschitz geometry is Zariski equisingular. We also prove a strong converse for families of normal complex hypersurface singularities in C3: Zariski equ...

Lecture Notes on Local Analytic Geometry

The aim of the CIMPA-ICTP-UNESCO-MESR-MICINN-PAKISTAN Research School on Local Analytic Geometry at Abdus Salam School of Mathematical Sciences, GC University Lahore, Pakistan (organized by A. D. Choudary, Alexandru Dimca and Gerhard Pfister) was to introduce the participants to local analytic geometry and related topics. A basis of the course was the book entitled Local Analytic Geometry (cf. ...

Computational geometry: Generalized intersection searching

Coolidge on Complex Geometry