Volume 25: The 16th International Workshop on Real and Complex Singularities, 23-30 November 2020, virtual from ICMC-USP, São Carlos, Brazil

Contents

Preface	i
Editors: Miriam Manoel, Laurentiu Maxim, Maria Aparecida Ruas, and David Trotman

Right Network-Preserving Diffeomorphisms	1
Fernando Antoneli and Ian Stewart

Algebraic knots associated with Milnor fibrations	30
Raimundo Araújo dos Santos, Osamu Saeki, and Taciana O. Souza

Algebraic differential equations of period-integrals	54
Daniel Barlet

Topological classification of circle-valued simple Morse-Bott functions on closed orientable surfaces	78
Erica Boizan Batista, João Carlos Ferreira Costa, and I.S. Meza-Sarmiento

Local Euler obstruction, old and new, III	90
Jean-Paul Brasselet, Nivaldo G. Grulha Jr., and Thuy Nguyên Thį Bích

Bi-Lipschitz and differentiable sufficiency of weighted jets	123
João Carlos Ferreira Costa, Marcelo José Saia, and Carlos Humberto Soares Junior

Curvature lines of a transversal equiaffine vector field along a surface in 3-space	134
Marcos Craizer and Ronaldo A. Garcia

Two short proofs of the topological invariance of intersection homology	144
Greg Friedman

Critical principal singularities of hypersurfaces in Euclidean 4-spaces	150
Ronaldo Garcia, Débora Lopes, and Jorge Sotomayor

The Delta Invariant and Fiberwise Normalization for Families of isolated Non-Normal Singularities	173
Gert-Martin Greuel and Gerhard Pfister

Key polynomials for simple extensions of valued fields	197
F. J. Herrera Govantes, W. Mahboub, M. A. Olalla Acosta, and M. Spivakovsky

The integral monodromy of the cycle type singularities	268
Claus Hertling and Makiko Mase

A generalization of Zakalyukin's lemma, and symmetries of surface singularities	299
Atsufumi Honda, Kosuke Naokawa, Kentaro Saji, Masaaki Umehara, and Kotaro Yamada

Remarks on semi-simplicity of Alexander modules	325
Anatoly Libgober

Monster towers from differential and algebraic viewpoints	331
Piotr Mormul

Invariants and classification of simple function germs with respect to Lipschitz A-equivalence	348
Nhan Nguyen and Saurabh Trivedi

Minkowski symmetry sets for 1-parameter families of plane curves	361
Graham Reeve

Classification at infinity of polynomials of degree 3 in 3 variables	377
Nilva Rodrigues Ribeiro

On bi-Lipschitz invariance and the uniqueness of tangent cones	393
J. Edson Sampaio and E. Carvalho da Silva

Some notes on the local topology of a deformation of a function-germ with a one-dimensional critical set	403
Hellen Santana

Derived KZ Equations	422
Vadim Schechtman and Alexander Varchenko

Smooth rigidity and Remez inequalities via Topology of level sets	443
Y. Yomdin

Characteristic Classes of Homogeneous Essential Isolated Determinantal Varieties	456
Xiping Zhang