Polynomial inequalities on certain algebraic hypersurfaces

2018 ◽  
Vol 459 (2) ◽  
pp. 822-838 ◽  
Author(s):  
Leokadia Bialas-Ciez ◽  
Jean-Paul Calvi ◽  
Agnieszka Kowalska
Keyword(s):  
Polynomial Inequalities ◽  
Algebraic Hypersurfaces

scholarly journals Polynomial inequalities on the Hamming cube

2020 ◽  
Vol 178 (1-2) ◽  
pp. 235-287
Author(s):  
Alexandros Eskenazis ◽  
Paata Ivanisvili
Keyword(s):  
Polynomial Inequalities

A Module-theoretic Characterization of Algebraic Hypersurfaces

2018 ◽  
Vol 61 (1) ◽  
pp. 166-173
Author(s):  
Cleto B. Miranda-Neto
Keyword(s):  
Algebraic Variety ◽  
Characteristic Zero ◽  
Vector Fields ◽  
Exterior Power ◽  
Algebraic Hypersurfaces ◽  
Theoretic Characterization

AbstractIn 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 fields of X is a reflexive -module. As a consequence of this result, we derive that if is a free -module, which is shown to be equivalent to the freeness of the t-th exterior power of for some (in fact, any) t ≤ n, then necessarily X is a Saito free divisor.

scholarly journals Singular Points of Complex Algebraic Hypersurfaces

2018 ◽  
Vol 11 (6) ◽  
pp. 670-679
Author(s):  
Antipova Irina A. ◽  
◽  
Mikhalkin Evgeny N. ◽  
Tsikh Avgust K. ◽  
◽  
...  
Keyword(s):  
Singular Points ◽  
Algebraic Hypersurfaces

scholarly journals Equivalent reliability polynomials modeling EAS and their geometries

2015 ◽  
Vol 53 (1) ◽  
pp. 177-195 ◽  
Author(s):  
Zahir Abdul Haddi Hassan ◽  
Constantin Udriște
Keyword(s):  
Graph Theory ◽  
Reliability Analysis ◽  
Geometric Modeling ◽  
Intrinsic Properties ◽  
Matlab Software ◽  
Reliability Models ◽  
Algebraic Hypersurfaces ◽  
Theory Technique ◽  
Made In

AbstractIn this paper we shall introduce two equivalent techniques in order to evaluate reliability analysis of electrical aircrafts systems (EAS): (i) graph theory technique, and (ii) simplifying diffeomorphism technique. Geometric modeling of reliability models is based on algebraic hypersurfaces, whose intrinsic properties are able to select those models which are relevant for applications. The basic idea is to cover the reliability hypersurfaces by exponentially decay curves. Most of the calculations made in this paper have used Maple and Matlab software.

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