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ZETA FUNCTIONS, GROTHENDIECK GROUPS, AND THE WITT RING
ZETA FUNCTIONS GROTHENDIECK GROUPS
2015/12/10
After preliminary definitions and a review (in the first section) of the basic structures (such as
Frobenius Fm and Verschiebung Vm) of the Witt ring W(R) of a ring R, we present our main...
Motivic complexes over finite fields and the ring of correspondences at the generic point
fi nite fi elds generic point
2015/12/10
Already in the 1960s Grothendieck understood that one could obtain an almost
entirely satisfactory theory of motives over a finite field when one assumes the Tate
conjecture. In this not...
THE RING OF PROJECTIVE INVARIANTS OF EIGHT POINTS ON THE LINE VIA REPRESENTATION THEORY
PROJECTIVE INVARIANTS EIGHT POINTS ON THE LINE VIA
2015/10/14
The ring of projective invariants of eight ordered points on the line is a quotient of the polynomial ring on V , where V is a fourteen-dimensional representation of S8, by an ideal I8, so the modular...
THE IDEAL OF RELATIONS FOR THE RING OF INVARIANTS OF n POINTS ON THE LINE:INTEGRALITY RESULTS
RELATIONS FOR THE RING INVARIANTS OF n POINTS ON THE LINE INTEGRALITY RESULTS
2015/10/14
Consider the projective coordinate ring of the GIT quotient (P1)n//SL(2), with the usual linearization, where n is even. In 1894, Kempe proved that this ring is generated in degree one. In [HMSV2]we s...
THE IDEAL OF RELATIONS FOR THE RING OF INVARIANTS OF n POINTS ON THE LINE
RELATIONS FOR THE RING INVARIANTS OF n POINTS THE LINE
2015/10/14
The ring of projective invariants of n ordered points on the projective line is one of the most basic and earliest studied examples in Geometric Invariant Theory. It is a remarkable fact and the point...
Exploring the Submarine Ring of Fire: Mariana Arc - Western Pacific
Western Pacific Exploring the Submarine Ring
2015/7/22
Sampling an erupting volcano at 550-m depth, discovering roiling pools of liquid sulfur at 400-m depth, watching tropical fish swimming amid fields of black smoker vents, and encountering a blizzard o...
The ring of projective invariants of n ordered points on the projective line is one of the most
basic and earliest studied examples in Geometric Invariant Theory. It is a remarkable fact and the poin...
The moduli space of curves has proven itself a central object in geometry. The past
decade has seen substantial progress in understanding the moduli space of curves, involving ideas, for example, fro...
Tree-ring cellulose d18O variability in pine and oak and its potential to reconstruct precipitation and relative humidity in central Japan
tree-ring cellulose d18O pine oak precipitation relative humidity central Japan
2017/4/10
Oxygen isotope ratios (d18O) of tree-ring cellulose in pine (Pinus densiflora) and oak (Quercus serrate and Quercus
variabilis) growing in central Japan from 1970 to 2011 share a common inter-annual ...
The ring-shaped thermal field of Stefanos crater, Nisyros Island: a conceptual model
The ring-shaped thermal field Stefanos crater, Nisyros Island conceptual model
2015/1/6
Fumarole fields related to hydrothermal processes release the heat of the underground through permeable pathways. Thermal changes, therefore, are likely to depend also on the size and permeability var...
Nonnuclear Hyper/Ultraluminous X-Ray Sources in the Starbursting Cartwheel Ring Galaxy
VV 784 Cartwheel
2014/12/24
We report the Chandra/ACIS-S detection of more than 20 ultraluminous X-ray sources (ULXs; L0.5-10 keV 3 × 1039 ergs s-1) in the Cartwheel collisional ring galaxy system, of which over a dozen are loca...
Far-infrared line imaging of the starburst ring in NGC 1097 with the Herschel/PACS spectrometer
Seyfert nucleus interstellar medium
2014/12/20
NGC 1097 is a nearby SBb galaxy with a Seyfert nucleus and a bright starburst ring. We study the physical properties of the interstellar medium (ISM) in the ring using spatially resolved far-infrared ...
THE "SWARM" MODEL FOR THE AZIMUTHAL BRIGHTNESS VARIATIONS IN SATURN'S RING A
Saturn's rings. Photometry observation ring system The image calibration
2014/12/10
A number of researchers have observed asymmetric azimuthal variations in Saturn's ring A not seen in any other portion of the rings. In order to explore this effect, photometric observations of the ri...
Comparison of water isotope analysis between cavity ring-down spectroscopy and isotope ratio mass spectrometry
oxygen isotopes hydrogen isotopes water isotope ratio mass spectrometry (IRMS) cavity ring-down spectroscopy (CRDS)
2017/4/10
δD and δ18O of natural waters with δ18O ranging from –24 to –6‰ were measured using a cavity ring-down spectroscopy
(CRDS) in order to confirm that the CRDS method can be an alternative to convention...
Theoretical investigations on the electronic and optical characteristics of fused-ring homopolymers:Comparison of oligomer method and PBC
HMX NTO cocrystal intermolecular interaction AIM NBO thermodynamic properties detonation performance
2016/12/2
The electronic and optical characteristics of conjugated polymers are the curial parameters for their photovoltaic and photonic applications. Here, the electronic and optical properties of six selecte...
