Algebraic Geometry (math.AG)
Classical Algebraic Geometry: A Modern View - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials
... in algebraic geometry, for example, based on Shafarevich’s book [531], it often relies on current cohomological techniques, such as those found in Hartshorne’s book ...in algebraic geometry ...
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Algebraic Models of Robot Kinematics, Obtained by Using H – Geometry (Numerical Algebraic Geometry) MethodsDr. Donaldas Zanevicius
... Numerical Algebraic Geometry to Kinematics” they write about algebraic models of ...“Numerical Algebraic Geometry” was suggested by the authors in 1996 and discussed at various ...
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Numerical algebraic geometry: a new perspective on gauge and string theories
... pure algebraic geometry, has turned out to enumerate supersym- metric BPS spectra of operators ...enumerative geometry where the NAG method can be directly and efficiently ...
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Diffusion Matrices from Algebraic-Geometry Codes with Efficient SIMD Implementation
... use algebraic-geometry codes [21], as they precisely offer this ...on algebraic curves; thus our proposal brings a nice connection between these objects and symmetric ...
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Computational Algebraic Geometry and Quantum Mechanics: An Initiative toward Post-Contemporary Quantum Chemistry
... A new framework in quantum chemistry has been proposed recently (“An approach to first principles electronic structure calculation by symbolic- numeric computation” by A. Kikuchi). It is based on the modern tech- nique ...
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Algorithmic Algebraic Geometry and Flux Vacua
... We have now a mathematical object defining the space of extrema of the potential: it is the variety L( p h ∂V i ) corresponding to the ideal p h ∂V i . This variety is not in general irreducible. Physically, this simply ...
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Algebraic Geometry of Phylogenetic Models.
... why algebraic geometry is the appropriate tool for studying these models by associating to each set of tree parameters an irreducible algebraic variety containing the possible distributions arising ...
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Exact Sums-of-Squares Certificates in Numeric Algebraic Geometry.
... [32] Reznick, B. Some concrete aspects of Hilbert’s 17th problem, Seminaire de Struc- tures Algbriques Ordonnes, (F. Delon, M.A. Dickmann, D. Gondard eds), Publ. quipe de Logique, Univ. Paris VII, Jan. 1996; revised ...
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On algebraic geometry over completely simple semigroups
... Below we describe the coordinate semigroups of irreducible algebraic sets over a c.s. semigroup S. We show that this problem is reduced to the same problem for the structural group G of S (see Theorems 3.1, 5.1). ...
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SQCD: A Geometric Apercu
... rithmic algebraic geometry and also affirm the fact that the generating function (Hilbert series) encodes the defining relations of the moduli space of ...the geometry of the classical moduli space ...
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Numerical elimination and moduli space of vacua
... Indeed, there are classical and modern techniques for elimination, such as using resultants and computing the Gr¨ obner basis of the ideal with a so-called elimination ordering for the variables. Although it is ...
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Exploring the vacuum geometry of N=1 gauge theories
... ordering, Γ is a Gr¨obner basis for the ideal I when the ideal given by the leading terms of polynomials in I is itself generated by the leading terms of the basis Γ. In computational algebraic geometry, ...
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AFSII Pune2017
... The main objects of study in algebraic geometry are the sets of solutions of a system of polynomial equations called affine varieties. The solutions of finitely many linear equations is [r] ...
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Vacuum Geometry and the Search for New Physics
... of algebraic geometry as an affine variety which is specified in terms of relations among a basis of gauge invariant operators (composite singlets built from the matter ...the algebraic ...
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Filtered and graded Procesi extensions of rings
... Van Oystaeyen, Birational extensions of rings, Proceedings of the 1978 Antwerp Conference, Lecture Notes in Pure and Applied Math. Verschoren, Non-commutative algebraic geometry, Lec- tu[r] ...
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On locally nilpotent derivations of Fermat rings
... Daigle, Locally nilpotent derivations , Lecture notes for the Setember School of algebraic geometry, Luk¸ecin, Poland, Setember 2003, Avaible at. http://aix1.uottawa.ca/~ddaigle[r] ...
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Scattering diagrams, Hall algebras and stability conditions
... Algebraic Geometry 4 5 2017 523–561 doi:10.14231/AG-2017-027 Scattering diagrams, Hall algebras and stability conditions Tom Bridgeland In memory of Kentaro Nagao Abstract With any quive[r] ...
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Basis of a multicyclic code as an Ideal in F[X_1,...,X_s]/
... involving Algebraic Geometry or in [5, 9, 10, 11], using group algebra and Galois Theory or ideals in a polynomial quotient ring, multicyclic codes are of great ...
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Grobner Basis for Bivariate Normal with Missing Data Model Estimation Problem
... Originally, the method of Grobner bases was introduced by Buchberger (1965, 1970) for the algorithmic solution of some of the fundamental problems in commutative algebra (polynomial ideal theory, algebraic ...
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Solving ECDLP via List Decoding
... List Decoding. List decoding is a powerful decoding algorithm for linear error-correction codes. It has a longer history than elliptic-curve cryptography and dates back to the works of Elias [8] and Wozencraft [36] in ...
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