منابع مشابه
Minimal Varieties of Algebras of Exponential Growth
The exponent of a variety of algebras over a field of characteristic zero has been recently proved to be an integer. Through this scale we can now classify all minimal varieties of a given exponent and of finite basic rank. As a consequence we describe the corresponding T-ideals of the free algebra, and we compute the asymptotics of the related codimension sequences. We then verify in this sett...
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The complete first order theories of the exponential differential equations of semiabelian varieties are given. It is shown that these theories also arise from an amalgamation-with-predimension construction in the style of Hrushovski. The theories include necessary and sufficient conditions for a system of equations to have a solution. The necessary conditions generalize Ax’s differential field...
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Abstract. Given any n-variate exponential sum, g, the real part of the complex zero set of g forms a sub-analytic variety R(Z(g)) generalizing the amoeba of a complex polynomial. We extend the notion of Archimedean tropical hypersurface to derive a piecewise linear approximation, Trop(g), of R(Z(g)), with explicit bounds — solely as a function of n, the number of terms, and the minimal distance...
متن کاملA Singly Exponential Stratification Scheme for Real Semi-Algebraic Varieties and its Applications
Chazelle, B., H. Edelsbrunner, L.J. Guibas and M. Sharir, A singly exponential stratification scheme for real semi-algebraic varieties and its applications, Theoretical Computer Science 84 (1991) 77-105. This paper describes an effective procedure for stratifying a real semi-algebraic set into cells of constant description size. The attractive feature of our method is that the number of cells p...
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If X is a smooth projective toric variety of dimension n we give explicit conditions on characters of the torus giving an embedding X →֒ Pr that guarantee dimSecX = 2n+ 1. We also give necessary and sufficient conditions for a general point of SecX to lie on a unique secant line when X is embedded into Pr using a complete linear system. For X of dimension 2 and 3 we give formulas for deg SecX in...
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ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 2016
ISSN: 0024-6115,1460-244X
DOI: 10.1112/plms/pdv066