Intersection theory, relative cohomology and the Feynman parametrization
Sign Up to like & getrecommendations! Published in 2024 at "Journal of High Energy Physics"
DOI: 10.1007/jhep05(2025)158
Abstract: We present a novel approach for loop integral reduction in the Feynman parametrization using intersection theory and relative cohomology. In this framework, Feynman integrals correspond to boundary-supported differential forms in the language of relative cohomology.… read more here.
Keywords: feynman parametrization; relative cohomology; intersection; intersection theory ... See more keywords
Toroidal b-divisors and Monge–Ampère measures
Sign Up to like & getrecommendations! Published in 2021 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-021-02789-5
Abstract: We generalize the intersection theory of nef toric (Weil) b-divisors on smooth and complete toric varieties to the case of nef b-divisors on complete varieties which are toroidal with respect to a snc divisor. As… read more here.
Keywords: monge amp; intersection theory; weil divisors; divisors monge ... See more keywords