1,083 research outputs found
On rationality of the intersection points of a line with a plane quartic
We study the rationality of the intersection points of certain lines and
smooth plane quartics C defined over F_q. For q \geq 127, we prove the
existence of a line such that the intersection points with C are all rational.
Using another approach, we further prove the existence of a tangent line with
the same property as soon as the characteristic of F_q is different from 2 and
q \geq 66^2+1. Finally, we study the probability of the existence of a rational
flex on C and exhibit a curious behavior when the characteristic of F_q is
equal to 3.Comment: 17 pages. Theorem 2 now includes the characteristic 2 case;
Conjecture 1 from the previous version is proved wron
Duality with expanding maps and shrinking maps, and its applications to Gauss maps
We study expanding maps and shrinking maps of subvarieties of Grassmann
varieties in arbitrary characteristic. The shrinking map was studied
independently by Landsberg and Piontkowski in order to characterize Gauss
images. To develop their method, we introduce the expanding map, which is a
dual notion of the shrinking map and is a generalization of the Gauss map. Then
we give a characterization of separable Gauss maps and their images, which
yields results for the following topics: (1) Linearity of general fibers of
separable Gauss maps; (2) Generalization of the characterization of Gauss
images; (3) Duality on one-dimensional parameter spaces of linear subvarieties
lying in developable varieties.Comment: 28 pages, v3: added some examples, v2: the title has been changed
from v1 "Linearity of general fibers of separable Gauss maps
Preparation of Short-life Berkelium Tracers by 241Am(α,xn) or 243Am(α,xn) Reactions
開始ページ、終了ページ: 冊子体のページ付
Progress on the hybrid gun project at UCLA
UCLA/INFN-LNF/Univ. Rome has been developing the hybrid gun which has an RF gun and a short linac for velocity bunching in one structure. After the cavity was manufactured at INFN-LNF in 2012, tests of the gun was carried out at UCLA. The field in the standing wave part was 20 % smaller than the simulation but the phase advance was fine. The cavity was commissioned successfully up to 13 MW. The beam test was performed at 11.5 MW and demonstrated the bunch compression
Characterization of the QUartz Photon Intensifying Detector (QUPID) for Noble Liquid Detectors
Dark Matter and Double Beta Decay experiments require extremely low
radioactivity within the detector materials. For this purpose, the University
of California, Los Angeles and Hamamatsu Photonics have developed the QUartz
Photon Intensifying Detector (QUPID), an ultra-low background photodetector
based on the Hybrid Avalanche Photo Diode (HAPD) and entirely made of
ultraclean synthetic fused silica. In this work we present the basic concept of
the QUPID and the testing measurements on QUPIDs from the first production
line. Screening of radioactivity at the Gator facility in the Laboratori
Nazionali del Gran Sasso has shown that the QUPIDs safely fulfill the low
radioactive contamination requirements for the next generation zero background
experiments set by Monte Carlo simulations. The quantum efficiency of the QUPID
at room temperature is > 30% at the xenon scintillation wavelength. At low
temperatures, the QUPID shows a leakage current less than 1 nA and a global
gain of 10^5. In these conditions, the photocathode and the anode show > 95%
linearity up to 1 uA for the cathode and 3 mA for the anode. The photocathode
and collection efficiency are uniform to 80% over the entire surface. In
parallel with single photon counting capabilities, the QUPIDs have a good
timing response: 1.8 +/- 0.1 ns rise time, 2.5 +/- 0.2 ns fall time, 4.20 +/-
0.05 ns pulse width, and 160 +/- 30 ps transit time spread. The QUPIDs have
also been tested in a liquid xenon environment, and scintillation light from
57Co and 210Po radioactive sources were observed.Comment: 15 pages, 22 figure
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