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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...
A difference field is a field with a distinguished automorphism. Automorphisms of a finite field are powers of the Frobenius map. In this talk, I will discuss how to estimate the number of rational po...
The full Kostant-Toda lattice defined on simple Lie algebras can be viewed as finite version of KP type hierarchies. In this talk I will show you how to explicitly construct (all) rational solutions o...
The method of moving planes and moving quadrics expresses the implicit equation of a rational parametric surface as a compact determinant. Efficient computation of the moving planes and moving quadric...
Various factors influence the tunneling are simplified considering the axial symmetry of the composite lining structure. The analytical expressions for the seepage field,stress,and displacement in the...
Given a sequence {αn} in (0, 1) converging to a rational, we examine the model theoretic properties of structures obtained as limits of ShelahSpencer graphs G(m, m−αn ). We show that in most c...
The criterion proved in this paper was stated by Thurston in November 1982. Thurston lectured on its proof on several occasions, notably at the NSF summer conference inDuluth, 1983, where one of the a...
In this paper, a geometric interpretation is provided of a new rational Landen transformation. The convergence of its iterates is also established.
During the last decade many national and regional Land Cover/Land Use projects are implemented based on computer aided satellite image interpretation. An essential procedure for the European CORINE ...
We study the geometry of moduli spaces of genus 0 and 1 curves in Pn with speci ed contact with a hyperplane H. We compute intersection numbers on these spaces that correspond to the number of degre...
Caporaso and Harris derive recursive formulas counting nodal plane curves of degree d and geometric genus g in the plane (through the appropriate number of xed general points). We rephrase their ar...
The following divisors in the space Sym12 P1 of twelve points on P1 are actually the same: (A) the possible locus of the twelve nodal bers in a rational elliptic bration (i.e. a pencil of plane cu...
INVOLUTIVE RATIONAL NORMAL STRUCTURES.
From Rudolf Clausius’ classical version of Thermodynamics two different traditions of research really emerged. If James C. Maxwell and Ludwig Boltzmann pursued the integration of thermodynamics with t...
Let K be a global field. For each prime p of K, the p-part of a multiple Dirichlet series defined over K is a generating function in several variables for the p-power coefficients. Let _ be an irreduc...

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