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In 2017, astronomers captured the first image of a black hole by coordinating radio dishes around the world to act as a single, planet-sized telescope. The synchronized network, known collectively as ...
New findings from the expedition, funded largely by the U.S. National Science Foundation with contributions from more than 20 partner nations, were recently published in the Geological Society of Amer...
Current approaches to reconstructing past climate by using tree-ring data need to be improved on so that they can better take uncertainty into account, new University of Otago-led suggests.Tree growth...
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...
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 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...
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 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...
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...
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 ...
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...
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...

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