scholarly journals On the Algebraic Construction of the Picard Variety

1951 ◽  
Vol 21 (0) ◽  
pp. 217-235 ◽  
Author(s):  
Teruhisa MATSUSAKA
Keyword(s):  
Algebraic Construction ◽  
Picard Variety

scholarly journals Abelian varieties attached to cycles of intermediate dimension

1979 ◽  
Vol 75 ◽  
pp. 95-119 ◽  
Author(s):  
Hiroshi Saito
Keyword(s):  
Abelian Variety ◽  
Projective Variety ◽  
Classical Case ◽  
Degree Zero ◽  
Algebraic Construction ◽  
Jacobian Varieties ◽  
Codimension One ◽  
Picard Variety ◽  
Complex Tori ◽  
Intermediate Jacobian

The group of cycles of codimension one algebraically equivalent to zero of a nonsingular projective variety modulo rational equivalence forms an abelian variety, i.e., the Picard variety. To the group of cycles of dimension zero and of degree zero, there corresponds an abelian variety, the Albanese variety. Similarly, Weil, Lieberman and Griffiths have attached complex tori to the cycles of intermediate dimension in the classical case. The aim of this article is to give a purely algebraic construction of such “intermediate Jacobian varieties.”

scholarly journals An Algebraic Construction of a Class of One-Dependent Processes

1989 ◽  
Vol 17 (1) ◽  
pp. 128-143 ◽  
Author(s):  
Jon Aaronson ◽  
David Gilat ◽  
Michael Keane ◽  
Vincent de Valk
Keyword(s):  
Algebraic Construction ◽  
Dependent Processes

Algebraic construction of a new class of quasi-orthogonal arrays for steganography

1999 ◽  
Author(s):  
Ron G. van Schyndel ◽  
Andrew Z. Tirkel ◽  
Imants D. Svalbe ◽  
Thomas E. Hall ◽  
Charles F. Osborne
Keyword(s):  
Orthogonal Arrays ◽  
Algebraic Construction ◽  
New Class

scholarly journals ALGEBRAIC ASPECT AND CONSTRUCTION OF LAX OPERATORS IN QUANTUM INTEGRABLE SYSTEMS

1995 ◽  
Vol 10 (40) ◽  
pp. 3113-3117 ◽  
Author(s):  
B. BASU-MALLICK ◽  
ANJAN KUNDU
Keyword(s):  
Integrable Systems ◽  
Integrable Models ◽  
Quantum Integrable Systems ◽  
Algebraic Construction ◽  
Algebraic Aspect ◽  
Quantum Integrable Models

An algebraic construction which is more general and closely connected with that of Faddeev,1 along with its application for generating different classes of quantum integrable models is summarized to complement the recent results of Ref. 1.

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