Greuel G.-M., Narváez Macarro L., Xambó-Descamps S. (Eds.) Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics: Festschrift for Antonio Campillo on the Occasion of his 65th Birthday

Springer, 2018. — 604 p. — ISBN: 978-3-319-96826-1.This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra. The motivation for this collection comes from the wide-ranging research of the distinguished mathematician, Antonio Campillo, in these and related fields. Besides his influence in the mathematical community stemming from his research, Campillo has also endeavored to promote mathematics and mathematicians' networking everywhere, especially in Spain, Latin America and Europe. Because of his impressive achievements throughout his career, we dedicate this book to Campillo in honor of his 65th birthday.
Researchers and students from the world-wide, and in particular Latin American and European, communities in singularities, algebraic geometry, commutative algebra, coding theory, and other fields covered in the volume, will have interest in this book.Antonio Campillo
Singularities in Positive Characteristic: Equisingularity, Classification, Determinacy
Ultrametric Spaces of Branches on Arborescent Singularities
Two Points of the Boundary of Toric Geometry
On the Milnor Formula in Arbitrary Characteristic
Foliations in the Plane Uniquely Determined by Minimal Subschemes of its Singularities
Newton Transformations and the Motivic Milnor Fiber of a Plane Curve
Nash Modification on Toric Curves
A Recursive Formula for the Motivic Milnor Fiber of a Plane Curve
On Hasse–Schmidt Derivations: The Action of Substitution Maps
An Introduction to Resolution of Singularities via the Multiplicity
Platonic Surfaces
Coverings of Rational Ruled Normal Surfaces
Ulrich Bundles on Veronese Surfaces
Multiple Structures on Smooth on Singular Varieties
Smoothness in Some Varieties with Dihedral Symmetry and the DFT Matrix
The Greedy Algorithm and the Cohen-Macaulay Property of Rings, Graphs and Toric Projective Curves
Binomial Ideals and Congruences on Nn
The K-Theory of Toric Schemes Over Regular Rings of Mixed Characteristic
On Finite and Nonfinite Generation of Associated Graded Rings of Abhyankar Valuations
Symbolic Powers of Monomial Ideals and Cohen-Macaulay Vertex-Weighted Digraphs
Asymptotics of Reduced Algebraic Curves Over Finite Fields
The Poincaré Polynomial of a Linear Code
The Metric Structure of Linear Codes
On Some Properties of A Inherited by C b(X, A)
A Fractional Partial Differential Equation for Theta Functions
On Continued Fractions