3 papers
hep-th2025
Geometric Singularities of Feynman Integrals
Martin Helmer, Felix Tellander
We provide a new method to calculate the full microlocal description of singularities of Feynman integrals. This is done by associating a unique constructible function to the syste…
math-ph2025
Spectral Decomposition of Euler-Mellin Integrals
Martin Helmer, Felix Tellander
We consider the spectral decomposition of singularities of integrals and their integrands. Our results apply to any integral of Euler-Mellin type, and thus especially to every scal…
math.AG2024
Stratification of Projection Maps From Toric Varieties
Boulos El Hilany, Martin Helmer, Elias Tsigaridas
We prove a combinatorial version of Thom's Isotopy Lemma for projection maps applied to any complex or real toric variety. Our results are constructive and give rise to a method fo…