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Jet bundles on projective space: New examples
Atiyah sequence jet bundle characteristic class generalized Atiyah class
2012/6/21
In previous papers it was shown that the left and right O-module structure of the jet bundles on the projective line differed. In this paper we show that similar statements hold for jet bundles on pro...
On the Demailly-Semple jet bundles of hypersurfaces in $\CP^3$
Demailly-Semple jet bundles hypersurfaces Algebraic Geometry
2011/9/15
Abstract: Let $X$ be a smooth hypersurface of degree $d$ in $\CP^3$. By totally algebraic calculations, we prove that on the third Demailly-Semple jet bundle $X_3$ of $X$, the bundle $\ocal_{X_3}(1)$ ...
Jets are an important tool to probe the hot, dense medium produced in ultra-relativistic heavy-ion collisions. At the collision energies available at the Large Hadron Collider (LHC), there is copious ...
A geometric construction for invariant jet differentials
De Bruijn Sequence Ford sequence preference function
2011/1/19
A nonbinary Ford sequence is a de Bruijn sequence generated by sim-ple rules that determine the priorities of what symbols are to be tried first, given an initial word of size n which is the order of ...
For m 2 N,m 1, we determine the irreducible components of the m − th jet scheme of a toric
surface S. For m big enough, we connect the number of a class of these irreducible components to the...
Jet schemes of complex plane branches and equisingularity
Jet schemes of complex plane branches equisingularity
2010/12/14
For m 2 N, we give formulas for the number N(m) of irreducible components of the m-th Jet Scheme of a complex branch C and for their codimensions, in terms of m and the generators of the semigroup of ...
An overview of some recent results on geometry of partial differential equations in application to integrable systems is given. Lagrangian and Hamiltonian formalism both in the free case (on the space...
A jet from container and flow past a vertical flat plate in a channel with the surface tension effects
Free surface Potential flow Jet Surface tension
2010/9/16
The problem of steady two-dimensional free surface potential flow of incompressible fluid emerging from a slot of container of infinite long is considered. The fluid is assumed to be inviscid and the ...
The free-surface flow due to a jet against an infinite vertical plate in presence of surface tension
Free surface Potential flow Weber number
2010/9/16
In the present work, we are interested by the study of a bidimensional and potential jet with a free surface. The fluid is assumed to be inviscid, incompressible and irrotational against a vertical pl...
Finite jet determination of holomorphic mappings at the boundary
holomorphic mappings boundary
2010/10/29
Let M,M' be smooth real hypersurfaces in N-dimensional space and assume that M is k-nondegenerate at a point p in M. We prove that holomorphic mappings that extend smoothly to M, sending a neighborho...
We generalize Demailly's construction of projective jet bundles and strictly negatively curved pseudometrics on them to the logarithmic case. We establish this logarithmic generalization explicitly v...