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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
In the last decade, there has been a growing interest in the study of rational points on homogeneous spaces of linear algebraic groups defined over fields having good arithmetical properties other tha...
GALOIS THEORY OF ITERATED MORPHISMS ON REDUCIBLE ELLIPTIC CURVES AND ABELIAN SURFACES WITH REAL MULTIPLICATION
Kummer map elliptic curves abelian surfaces with real multiplication
2014/12/8
Let $F$ be a number field and let $A$ be an abelian algebraic group defined over $F$. For a prime $\ell$ and a point $\alpha \in A(F)$, we obtain the tower of extensions $F([\ell^n]^{-1}(\alpha))$ by ...
Optimal phase response curves for stochastic synchronization of limit-cycle oscillators by common Poisson noise
Euler-Lagrange equation phase response curve limit-cycle oscillators Poisson noise
2011/7/6
We consider optimization of phase response curves for stochastic synchronization of non-
interacting limit-cycle oscillators by common Poisson impulsive signals. The optimal functional
shape for suf...
Holomorphic Cartan geometries, Calabi--Yau manifolds and rational curves
Cartan geometry holomorphic connection Calabi–Yau manifold rational curve
2010/12/14
We prove that if a Calabi–Yau manifold M admits a holomorphic Cartan geometry, then M is covered by a complex torus. This is done by establishing the Bogomolov inequality for semistable sheaves on com...
In this paper, we give an elementary proof of the fact that symmetric arithmetically Cohen-Macaulay monomial curves are set-theoretic complete intersections. The proof is constructive and provides the...
The n-point functions for intersection numbers on moduli spaces of curves
n-point functions intersection numbers moduli spaces curves
2018/4/20
We derive from Witten's KdV equation a simple formula of the $n$-point functions for intersection numbers on moduli spaces of curves, generalizing Dijkgraaf's two-point function and Zagier's three-poi...
Mathematical function for the transition curves description
transition curve transition temperature impact energy
2014/2/28
Toughness is one of important material properties. At present steel is still the most used material. Owing to the temperature this material can fail both brittly and ductily. Therefore we look for the...