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Titlebook: Applications of Algebraic Geometry to Coding Theory, Physics and Computation; Ciro Ciliberto,Friedrich Hirzebruch,Mina Teicher Book 2001 K

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期刊全称Applications of Algebraic Geometry to Coding Theory, Physics and Computation
影响因子2023Ciro Ciliberto,Friedrich Hirzebruch,Mina Teicher
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学科分类NATO Science Series II: Mathematics, Physics and Chemistry
图书封面Titlebook: Applications of Algebraic Geometry to Coding Theory, Physics and Computation;  Ciro Ciliberto,Friedrich Hirzebruch,Mina Teicher Book 2001 K
影响因子An up-to-date report on the current status of importantresearch topics in algebraic geometry and its applications, such ascomputational algebra and geometry, singularity theory algorithms,numerical solutions of polynomial systems, coding theory,communication networks, and computer vision. Contributions on morefundamental aspects of algebraic geometry include expositions relatedto counting points on varieties over finite fields, Mori theory,linear systems, Abelian varieties, vector bundles on singular curves,degenerations of surfaces, and mirror symmetry of Calabi-Yaumanifolds.
Pindex Book 2001
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Some Applications of Algebraic Curves to Computational Vision,inition by a set of equations, for which we show that for a generic configuration, two projections of a curve of degree . defines a curve in ℙ. with two irreducible components, one of degree . and the other of degree .(. — 1), (ii) the dual presentation in the dual space ℙ.*, for which we derive a l
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https://doi.org/10.1007/978-94-010-1011-5algorithms; coding theory; communication; computer; finite field; geometry; networks; sets; singularity theo
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978-1-4020-0005-8Kluwer Academic Publishers 2001
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Subvarieties of Abelian Varieties,esentatives of multiples of the minimal cohomology class for curves which in turn produce subvarieties of higher dimension representing multiples of the minimal class. We then discuss the problem of producing curves representing multiples of the minimal class via deformation-theoretic methods.
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Characteristic Varieties of Algebraic Curves,tori in the group of characters of the fundamental group of the complement to the curve. This invariant is a generalization of one variable Alexander polynomial. The paper discusses the basic properties of characterisitic varieties and their calculation in terms of position of the singularities of the curve in the plane.
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