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42 papers · 1 filter
On the Eisenbud-Green-Harris Conjecture
Abed Abedelfatah
It has been conjectured by Eisenbud, Green and Harris that if is a homogeneous ideal in containing a regular sequence of degrees , wh…
CFT representation of interacting bulk gauge fields in AdS
Daniel Kabat, Gilad Lifschytz
We develop the representation of interacting bulk gauge fields and charged scalar matter in AdS in terms of non-local observables in the dual CFT. We work in holographic gauge in t…
The projector algorithm: a simple parallel algorithm for computing Voronoi diagrams and Delaunay graphs
Daniel Reem
The Voronoi diagram is a certain geometric data structure which has numerous applications in various scientific and technological fields. The theory of algorithms for computing 2D…
Hamiltonian vector fields on almost symplectic manifolds
Izu Vaisman
Let be an almost symplectic manifold ( is a non degenerate, not closed, 2-form). We say that a vector field of is locally Hamiltonian if , and…
Two trapped particles interacting by a finite-ranged two-body potential in two spatial dimensions
Rostislav A. Doganov, Shachar Klaiman, Ofir E. Alon +2
We examine the problem of two particles confined in an isotropic harmonic trap, which interact via a finite-ranged Gaussian-shaped potential in two spatial dimensions. We derive an…
Truncated Derived Functors and Spectral Sequences
Hans-Joachim Baues, David Blanc, Boris Chorny
The term of the Adams spectral sequence may be identified with certain derived functors, and this also holds for a number of other spectral sequences. Our goal is to show how…