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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Rational points and homogeneous spaces over function fields of curves
曲线函数场 有理点 齐次空间
2023/4/17
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Number of rational points of difference varieties in finite difference fields
有限差分域 差分簇 有理点数
2023/4/13
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Birkhoff genericity for points on curves in expanding horospheres and Diophantine applications
星座图 曲线 Birkhoff泛型 丢番图应用
2023/5/16
Understanding past climate change 'tipping points' can help us prepare for the future
extreme climate change Earth system models hydrosphere
2021/8/2
Of all the creatures on Earth, humans manipulate their environments the most. But, how far can we push it before something drastic happens? Scientists are calling for a better understanding of past ex...
Is Spring Getting Longer?UNH Research Points to a Lengthening “Vernal Window”
Spring Getting Longer UNH Research Points Vernal Window
2017/3/30
With the first day of spring around the corner, temperatures are beginning to rise, ice is melting, and the world around us is starting to blossom. Scientists sometimes refer to this transition from w...
Research by Rice University Earth scientists suggests that virtually all of Earth’s life-giving carbon could have come from a collision about 4.4 billion years ago between Earth and an embryonic plane...
Ancient extinction of giant Australian bird points to humans
Ancient extinction giant Australian bird
2016/2/22
The first direct evidence that humans played a substantial role in the extinction of the huge, wondrous beasts inhabiting Australia some 50,000 years ago -- in this case a 500-pound bird -- has been d...
Sediment buried in Oregon Coast Range points to a frosty past
Sediment buried Oregon Coast Range points frosty past
2015/12/7
Lush greenery rich in Douglas fir and hemlock trees covers the Triangle Lake valley of the Oregon Coast Range. Today, however, geologists across the country are more focused on sediment samples dating...
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 RELATIONS AMONG INVARIANTS OF POINTS ON THE PROJECTIVE LINE
RELATIONS AMONG INVARIANTS POINTS ON THE PROJECTIVE LINE
2015/10/14
THE RELATIONS AMONG INVARIANTS OF POINTS ON THE PROJECTIVE LINE.
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...
THE EQUATIONS FOR THE MODULI SPACE OF n POINTS ON THE LINE
MODULI SPACE n POINTS ON THE LINE
2015/10/14
A central question in invariant theory is that of determining the relations among invariants. Geometric invariant theory quotients come with a natural ample line bundle, and hence often a natural proj...
JOINTLY PERIODIC POINTS IN CELLULAR AUTOMATA:COMPUTER EXPLORATIONS AND CONJECTURES
JOINTLY PERIODIC POINTS CELLULAR AUTOMATA COMPUTER EXPLORATIONS AND CONJECTURES
2015/9/29
We develop a rather elaborate computer program to investigate the jointly periodic points of one-dimensional cellular automata. The experimental results and mathematical context lead to questions, con...