The algebraic variety of tight frames

2018 ◽  
pp. 151-163
Author(s):  
Shayne F. D. Waldron
Keyword(s):  
Algebraic Variety ◽  
Tight Frames

scholarly journals Steiner equiangular tight frames

2012 ◽  
Vol 436 (5) ◽  
pp. 1014-1027 ◽  
Author(s):  
Matthew Fickus ◽  
Dustin G. Mixon ◽  
Janet C. Tremain
Keyword(s):  
Tight Frames ◽  
Equiangular Tight Frames

A Remark Concerning the Parametric Representation of an Algebraic Variety

1937 ◽  
Vol 59 (2) ◽  
pp. 363 ◽  
Author(s):  
Oscar Zariski
Keyword(s):  
Algebraic Variety ◽  
Parametric Representation

Equiangular tight frames

2009 ◽  
Vol 157 (6) ◽  
pp. 789-815 ◽  
Author(s):  
V. N. Malozemov ◽  
A. B. Pevnyi
Keyword(s):  
Tight Frames ◽  
Equiangular Tight Frames

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.

Quasi-symmetric designs and equiangular tight frames

2015 ◽  
Author(s):  
Matthew Fickus ◽  
John Jasper ◽  
Dustin Mixon ◽  
Jesse Peterson
Keyword(s):  
Tight Frames ◽  
Symmetric Designs ◽  
Equiangular Tight Frames

Some results concerning the local analytic branches of an algebraic variety

1953 ◽  
Vol 49 (3) ◽  
pp. 386-396 ◽  
Author(s):  
D. G. Northcott
Keyword(s):  
Algebraic Geometry ◽  
Power Series ◽  
Algebraic Variety ◽  
Recent Progress ◽  
Rapid Development ◽  
Noetherian Rings ◽  
Local Rings ◽  
Power Series Rings ◽  
Analytic Algebra ◽  
Topological Theories

The recent progress of modern algebra in analysing, from the algebraic standpoint, the foundations of algebraic geometry, has been marked by the rapid development of what may be called ‘analytic algebra’. By this we mean the topological theories of Noetherian rings that arise when one uses ideals to define neighbourhoods; this includes, for instance, the theory of power-series rings and of local rings. In the present paper some applications are made of this kind of algebra to some problems connected with the notion of a branch of a variety at a point.

Sign in / Sign up

Export Citation Format

Share Document