3 papers
math.AG2026
On the logarithmic terms in the asymptotic expansion of integrals
Achim Hennings
We consider integrals over vanishing cycles in the Milnor fibration of an isolated singularity defined by a Newton non-degenerate function. We single out a condition where the lead…
math.AC2025
Euler characteristic of a mixed Koszul complex and the index of vector fields
Achim Hennings
A three-term complex of free modules over a local ring determines a mixed Koszul complex, whose Euler characteristic can be expressed by mixed multiplicities. As an application, we…
math.AG2025
The index of a real vector field at an isolated complete intersection singularity
Achim Hennings
In an unpublished note [H1] we have described a method to obtain a formula for the index of an analytic vector field with (complex) isolated zero on a real analytic hypersurface wi…