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math.AG2025
The Complete Intersection Discrepancy of a Curve I: Numerical Invariants
Andrei Benguş-Lasnier, Antoni Rangachev
We generalize two classical formulas for complete intersection curves by introducing the complete intersection discrepancy of a curve as a correction term. The first is a well-know…
math.AG2023
The Complete Intersection Discrepancy of a Curve II: Families of Curves
Andrei Benguş-Lasnier, Terence Gaffney, Antoni Rangachev
We study equisingularity of families of reduced curves over smooth parameter spaces of arbitrary positive dimension, using the difference between two analytic invariants of a curve…
math.AG2018
The A_f condition and relative conormal spaces for functions with non-vanishing derivative
Terence Gaffney, Antoni Rangachev
We introduce a join construction as a way of completing the description of the relative conormal space of an analytic function on a complex analytic space that has a non-vanishing…