3 papers
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.AC2020
A valuation theorem for Noetherian rings
Antoni Rangachev
Let A and B be integral domains. Suppose A is Noetherian and B is a finitely generated A-algebra that contains A. Denote by A' the integral closure of A in B. We show that A' is de…
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…