Výsledky vyhledávání - "Dimension of an algebraic variety"

Generic Finiteness for a Class of Symmetric Planar Central Configurations of the Six-Body Problem and the Six-Vortex Problem

Autor: Bo-Yu Pan, Thiago Dias

Publikováno v: Journal of Dynamics and Differential Equations. 32:1579-1602

A symmetric planar central configuration of the Newtonian six-body problem x is called cross central configuration if there are precisely four bodies on a symmetry line of x. We use complex algebraic geometry and Groebner basis theory to prove that f

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::555f005540ac0695a37e0edc3682a3f3
https://doi.org/10.1007/s10884-019-09765-y

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Algebraic constructions of modular lattices

Autor: Xiaolu Hou

This thesis is dedicated to the constructions of modular lattices with algebraic methods. The goal is to develop new methods as well as constructing new lattices. There are three methods considered: construction from number fields, construction from

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d9fecfb490b210d2ff541148bc015df
https://doi.org/10.32657/10356/70653

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Algebraic geometry over algebraic structures X: Ordinal dimension

Autor: Vladimir N. Remeslennikov, Alexei Myasnikov, Evelina Daniyarova

Publikováno v: International Journal of Algebra and Computation. 28:1425-1448

This work is devoted to interpretation of concepts of Zariski dimension of an algebraic variety over a field and of Krull dimension of a coordinate ring in algebraic geometry over algebraic structures of an arbitrary signature. Proposed dimensions ar

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::534c59268bb7daf82d029ceeed190014
https://doi.org/10.1142/s0218196718400039

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Bounding the degree of solutions of differential equations

Autor: S. C. Coutinho

Publikováno v: Journal of Symbolic Computation. 89:9-25

We present an algorithmic strategy to compute an upper bound for the degree of the algebraic solutions of non-degenerate polynomial differential equations in dimension two.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b7e078c6ebfb6877544b2d491a84566f
https://doi.org/10.1016/j.jsc.2017.11.002

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Fast Algebraic Rewriting Based on And-Inverter Graphs

Autor: Cunxi Yu, Alan Mishchenko, Maciej Ciesielski

Publikováno v: IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems. 37:1907-1911

Constructing algebraic polynomials using computer algebra techniques is believed to be state-of-the-art in analyzing gate-level arithmetic circuits. However, the existing approach applies algebraic rewriting directly to the gate-level netlist, which

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0fff58c830c6f984e74a90585f4be633
https://doi.org/10.1109/tcad.2017.2772854

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A Module-theoretic Characterization of Algebraic Hypersurfaces

Autor: Cleto B. Miranda-Neto

Publikováno v: Canadian Mathematical Bulletin. 61:166-173

In this note we prove the following surprising characterization: if X ⊂ is an (embedded, non-empty, proper) algebraic variety deûned over a field k of characteristic zero, then X is a hypersurface if and only if the module of logarithmic vector fi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8af4ecf6b469157b03fd3b8f5a6f679a
https://doi.org/10.4153/cmb-2016-099-6

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Algebraic independence of the values of functions satisfying Mahler type functional equations under the transformation represented by a power relatively prime to the characteristic of the base field

Autor: Akinari Goto, Taka Aki Tanaka

Publikováno v: Journal of Number Theory. 184:384-410

We give positive characteristic analogues of complex entire functions having remarkable property that their values as well as their derivatives of any order at any nonzero algebraic numbers are algebraically independent. These results are obtained by

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::bd9a4cb3bb289221ec1dfc96a5a70aef
https://doi.org/10.1016/j.jnt.2017.08.026

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On the algebraic properties of the univalent functions in class S

Autor: Neslihan Uyanik, Ismet Yildiz, Hasan Sahin

Publikováno v: Volume: 5, Issue: 3 293-298
New Trends in Mathematical Sciences
New Trends in Mathematical Sciences, Vol 5, Iss 3, Pp 293-298 (2017)

This work is shown below, the algebraic sum of the two functions selected from class S of univalent functions which is a subclass of this class A of functions f(z) satisfy the conditions analiytic in the open unit disk U={z∈C:|z

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6f13aa5468ef203a2528b6abb1bbf959
https://doi.org/10.20852/ntmsci.2017.204

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