Results 41 to 50 of about 45,702 (171)

Top dimensional group of the basic intersection cohomology for singular riemannian foliations

, 2005
It is known that, for a regular riemannian foliation on a compact manifold, the properties of its basic cohomology (non-vanishing of the top-dimensional group and Poincar\'e Duality) and the tautness of the foliation are closely related.
Prieto, J. I. Royo, Saralegi-Aranguren, M., Wolak, R.   +2 more
core   +2 more sources

On cohomologically complete intersections

Journal of Algebra, 2008
An ideal $I$ of a local Gorenstein ring $(R, \mathfrak m)$ is called cohomologically complete intersection whenever $H^i_I(R) = 0$ for all $i \not= \height I.$ Here $H^i_I(R), i \in \mathbb Z,$ denotes the local cohomology of $R$ with respect to $I.$ For instance, a set-theoretic complete intersection is a cohomologically complete intersection. Here we
Hellus, Michael, Schenzel, Peter
openaire   +2 more sources

Feynman integrals: Synergies between particle physics and gravitational waves [PDF]

EPJ Web of Conferences
Feynman integrals are essential for computing scattering amplitudes. Linear relations among these integrals, through Integral-By-Parts (IBP) identities, reduce them to a smaller set of independent integrals, known as master integrals (MIs). In twisted de-
Mandal Manoj Kumar
doaj   +1 more source

Intersection cohomology of 𝑆¹-actions [PDF]

Transactions of the American Mathematical Society, 1993
Given a free action of the circle S 1 {{\mathbf {S}}^1} on a differentiable manifold M M , there exists a long exact sequence that relates the cohomology of M M with the cohomology of the manifold M
Gilbert Hector, Martin Saralegi
openaire   +1 more source

Intersection theory, relative cohomology and the Feynman parametrization

Journal of High Energy Physics
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
Mingming Lu, Ziwen Wang, Li Lin Yang
doaj   +1 more source

Rational points on even‐dimensional Fermat cubics

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley   +1 more source

Cohomological Methods in Intersection Theory [PDF]

, 2021
Final version in publisher's document class ...
openaire   +2 more sources

Coulomb branch algebras via symplectic cohomology

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González, Cheuk Yu Mak, Dan Pomerleano   +2 more
wiley   +1 more source

Coordinate rings of regular nilpotent Hessenberg varieties in the open opposite schubert cell

Forum of Mathematics, Sigma
Dale Peterson has discovered a surprising result that the quantum cohomology ring of the flag variety $\operatorname {\mathrm {GL}}_n({\mathbb {C}})/B$ is isomorphic to the coordinate ring of the intersection of the Peterson variety ...
Tatsuya Horiguchi, Tomoaki Shirato
doaj   +1 more source

MULTIPLICATIVE SUB-HODGE STRUCTURES OF CONJUGATE VARIETIES

Forum of Mathematics, Sigma, 2014
For any subfield $K\subseteq \mathbb{C}$ , not contained in an imaginary quadratic extension of
STEFAN SCHREIEDER
doaj   +1 more source