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Based on a pQCD inspired dynamical model of jet-medium interactions, Jewel, we have studied possible modifications to inclusive jet yields and a set of jet shape observables, namely, the fragmentation functions and radial momentum…

高能物理 - 唯象学 · 物理学 2019-07-25 Rathijit Biswas , Subikash Choudhury , Sidharth Kumar Prasad , Supriya Das

This article studies jet schemes of monomial schemes. They are known to be equidimensional but usually are not reduced. We thus investigate their structure further, giving a formula for the multiplicity along every component of the jet…

代数几何 · 数学 2007-05-23 Cornelia Yuen

We investigate the problem of holomorphic algebraizibility for real hypersurfaces in complex space. We introduce a new invariant of a (real-analytic) Levi-nondegenerate hypersurface called {\em the jet transcendence degree}. Using this…

复变函数 · 数学 2024-02-20 Jan Gregorovic , Ilya Kossovskiy

In this paper, we investigate meromorphic solutions in $\mathbb{C}^m$ of the nonlinear differential equation \[\displaystyle f^n\partial_u(f)g^n\partial_u(g)=1,\] where $\partial_u(f)=\sum_{j=1}^mu_j\partial_j(f)$ and $\sum_{j=1}^m u_j\neq…

复变函数 · 数学 2025-11-14 Abhijit Banerjee , Sujoy Majumder , Debabrata Pramanik , Nabadwip Sarkar

We investigate the role discrete clumps embedded in an astrophysical jet play on the jet's morphology and line emission characteristics. By varying clumps' size, density, position, and velocity, we cover a range of parameter space motivated…

太阳与恒星天体物理 · 物理学 2015-05-27 Kristopher Yirak , Ed Schroeder , Adam Frank , Andrew J. Cunningham

We review selected results from a recent in-depth study of jet shapes and jet cross sections in ultra-relativistic reactions with heavy nuclei at the LHC arXiv:0810.2807 [hep-ph]. We demonstrate that at the highest collider energies these…

高能物理 - 唯象学 · 物理学 2009-07-22 Ivan Vitev , Ben-Wei Zhang , Simon Wicks

We link $n$-jets of the affine monomial scheme defined by $x^p$ to the stable set polytope of some perfect graph. We prove that, as $p$ varies, the dimension of the coordinate ring of a certain subscheme of the scheme of $n$-jets as a…

代数几何 · 数学 2025-05-27 Rida Ait El Manssour , Anna-Laura Sattelberger

This note discusses the structure of J-holomorphic curves in symplectic 4-manifolds (M,\om) when J\in \Jj(\Ss), the set of \om-tame J for which a fixed chain \Ss of transversally intersecting embedded spheres of self-intersection \le -2 is…

辛几何 · 数学 2013-05-02 Dusa McDuff

We have calculated jet shapes in low $Q^2$ $ep$ and $p\overline{p}$ collisions in perturbation theory at order $\alpha_s^3$ for the hard parton-parton processes. For the $\gamma p$ process resolved and direct contributions are superimposed.…

高能物理 - 唯象学 · 物理学 2016-08-24 M. Klasen , G. Kramer

Full jet reconstruction in heavy-ion collisions enables a complete study of the modification of jet structure due to energy loss in hot and dense QCD matter, but is challenging due to the high multiplicity environment. The STAR and PHENIX…

核实验 · 物理学 2009-11-26 Jan Kapitan

Within a multiphase transport model, medium modifications of differential jet shapes are investigated in Pb+Pb collisions at $\sqrt{s_{_{\rm NN}}}$ = 2.76 TeV. The differential jet shapes are significantly modified by the strong…

核理论 · 物理学 2014-02-07 Guo-Liang Ma

This is primarily an expository note showing that earlier work of Lai on CR geometry provides a clean interpretation, in terms of a Gauss map, for an adjunction formula for embedded surfaces in an almost complex four manifold. We will see…

微分几何 · 数学 2007-05-23 Mikhail Chkhenkeli , Thomas Garrity

To each variety $X$ and a nonnegative integer $m$, there is a space $X_m$ over $X$, called the jet scheme of $X$ of order $m$, parametrizing $m$-th jets on $X$. Its fiber over a singular point of $X$ is called a singular fiber. For a…

代数几何 · 数学 2020-12-16 Yoshimune Koreeda

The modification of jet shapes in PbPb collisions, relative to those in pp collisions, is studied for jets associated with an isolated photon. The data were collected with the CMS detector at the LHC at a nucleon-nucleon center-of-mass…

高能物理 - 实验 · 物理学 2019-04-24 CMS Collaboration

Let $k$ be an algebraically closed field, $S$ a variety over $k$ and m a nonnegative integer. There is a space $S_m$ over $S$ , called the jet scheme of $X$ of order $m$, parameterizing $m$-th jets on $S$. The fiber over the singular locus…

代数几何 · 数学 2024-04-30 Yoshimune Koreeda

A wide class of exact solutions is obtained for the problem of finding the equilibrium configurations of charged jets of a conducting liquid; these configurations correspond to the finite-amplitude azimuthal deformations of the surface of a…

流体动力学 · 物理学 2009-11-10 N. M. Zubarev , O. V. Zubareva

Chern number formulas for holomorphic jet bundles are computed for projective curves and for projective surfaces. These formulas are used to show that certain minimal surfaces of general type (generic hypersurfaces of degree at least 5 in…

代数几何 · 数学 2007-05-23 W. Stoll , P. M. Wong

The algebraic degeneracy of holomorphic curves in a semi-Abelian variety omitting a divisor is proved (Lang's conjecture generalized to semi-Abelian varieties) by making use of the {\it jet-projection method} and the logarithmic Wronskian…

数论 · 数学 2016-09-06 Junjiro Noguchi

We give a fully algebraic proof of an important theorem of Demailly, stating the existence of many Green-Griffiths jet differentials on a complex projective manifold of general type. To this end, we introduce a new algebraic version of the…

代数几何 · 数学 2019-12-10 Benoit Cadorel

In this paper, we study a Malmquist-Yosida type theorem for Schwarzian differential equations \begin{equation}\label{1} S(f,z)^{m} = R(z,f) = \frac{P(z,f)}{Q(z,f)},\tag{+} \end{equation} where $m \in \mathbb{N}^{+}$, $P(z,f)$ and $Q(z,f)$…

复变函数 · 数学 2025-09-24 Xiong-Feng Liu