Euler-Mellin integrals are shown to have their D-module characteristic variety and characteristic cycle computed by explicit blow-up or Whitney stratification recipes, giving Landau singularities.
Segre Class Computation and Practical Applications
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
Let $X \subset Y$ be closed (possibly singular) subschemes of a smooth projective toric variety $T$. We show how to compute the Segre class $s(X,Y)$ as a class in the Chow group of $T$. Building on this, we give effective methods to compute intersection products in projective varieties, to determine algebraic multiplicity without working in local rings, and to test pairwise containment of subvarieties of $T$. Our methods may be implemented without using Groebner bases; in particular any algorithm to compute the number of solutions of a zero-dimensional polynomial system may be used.
citation-role summary
background 1
citation-polarity summary
fields
math-ph 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Spectral Decomposition of Euler-Mellin Integrals
Euler-Mellin integrals are shown to have their D-module characteristic variety and characteristic cycle computed by explicit blow-up or Whitney stratification recipes, giving Landau singularities.