4,993 research outputs found
Algebraic vector bundles on spheres
We determine the first non-stable -homotopy sheaf of .
Using techniques of obstruction theory involving the -Postnikov
tower, supported by some ideas from the theory of unimodular rows, we classify
vector bundles of rank on split smooth affine quadrics of dimension
. These computations allow us to answer a question posed by Nori, which
gives a criterion for completability of certain unimodular rows. Furthermore,
we study compatibility of our computations of -homotopy sheaves
with real and complex realization.Comment: 35 pages; final version (before page proofs) to appear J. Top.
Significantly reorganized and incorporates some material from
http://arxiv.org/abs/1204.0770 (which will also soon be replaced
Some remarks on orbit sets of unimodular rows
We give a cohomological interpretation of orbit sets of unimodular rows of
length d+1 over smooth algebras of Krull dimension d.Comment: 18 page
Measurement of the nuclear modification factor of electrons from heavy-flavour hadron decays in Pb-Pb collisions at {\surd}sNN = 2.76 TeV with ALICE at the LHC
We present a measurement of the nuclear modification factor of electrons from
heavy- flavour hadron decays at midrapidity in Pb-Pb collisions at {\surd}sNN =
2.76 TeV. Electrons are identified in the pt range 1.5 GeV/c < pt < 6 GeV/c. A
suppression is seen for pt larger than 3.5 GeV/c in the most central
collisions.Comment: 6 pages, 5 figures, EPIC@LHC - International Workshop on Early
Physics with Heavy Ion Collisions at the LHC; Published by American Institute
of Physics (AIP) in the Conference Proceedings Series (2011
Stably free modules over smooth affine threefolds
We prove that the stably free modules over a smooth affine threefold over an
algebraically closed field of characteristic different from 2 are free.Comment: 11 page
A degree map on unimodular rows
We associate to any endomorphism of the punctured affine space over some
field an element in the Witt group of the base field that we call degree. We
use this degree to give a counter-example to a question on unimodular rowsComment: Final version; J. Ramanujan Math. Soc. 27 (2012), no
Jet substructure measurements in pp collisions at = 13 TeV with ALICE
We present a variety of jet substructure measurements performed in pp
collisions at = 13 TeV with the focus on the groomed jet momentum
fraction in a wide range of between 20 and 200
GeV/ and jet resolution . Thanks to the capabilities of the
ALICE apparatus jet substructure measurement are possible with an infrared
constituent cutoff at 0.3 GeV. Furthermore, the angular resolution of the ALICE
detectors allows the measurement of jet substructure observables with a high
precision. The measurements are compared to pQCD calculations and MC
generators. Furthermore, the measurement of track-based jets at the same
centre-of-mass energy and its dependence on the event activity are presented
for different jet resolutions.Comment: Proceedings of the International Conference on Hard and
Electromagnetic Probes of High-Energy Nuclear Collisions, 201
The stable Adams operations on Hermitian K-theory
We prove that exterior powers of (skew-)symmetric bundles induce a
-ring structure on the ring , when is a
scheme where is invertible. Using this structure, we define stable Adams
operations on Hermitian -theory. As a byproduct of our methods, we also
compute the ternary laws associated to Hermitian -theory
Comparing Euler classes
We establish the equality of two definitions of an Euler class in algebraic
geometry: the first definition is as a "characteristic class" with values in
Chow-Witt theory, while the second definition is as an "obstruction class."
Along the way, we refine Morel's relative Hurewicz theorem in A^1-homotopy
theory, and show how to define (twisted) Chow-Witt groups for geometric
classifying spaces.Comment: 33 pages; Final version (before proofs). To appear Q. J. Mat
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