Date and time: October 20, 2025, 2:00 pm
Place: Room 578, IMI – BAS
Title:
The complete intersection discrepancy of curves
Lecturer: Andrei Bengus-Lasnier (ИМИ – БАН)
Abstract: In this talk I will introduce an invariant for reduced curves called the complete intersection discrepancy (cid for short). This numerical quantity arose naturally when trying to generalize known formulas for complete intersection curves to general curves. The cid then serves as a correction term in these formulas.
I will present some of the cid’s basic properties and derive two formulas. The first relates basic invariants such as Milnor number, its multiplicity and the multiplicity of its Jacobian ideal, and generalizes a well-known result in singularity theory due to Lê, Greuel and Teissier. The second formula is a generalization of the genus-degree formula for projective curves.
This work is in collaboration with Antoni Rangachev and Terence Gaffney.