Towards Birational Classification of Algebraic Varieties

1987 ◽  
Vol 19 (1) ◽  
pp. 1-48 ◽  
Author(s):  
P. M. H. Wilson
Keyword(s):  
Algebraic Varieties

scholarly journals Structure and classification of Hom-associative algebras

2020 ◽  
Vol 24 (1) ◽  
pp. 79-102
Author(s):  
Abdenacer Makhlouf ◽  
Ahmed Zahari
Keyword(s):  
Deformation Theory ◽  
Matrix Algebra ◽  
Algebraic Varieties ◽  
Associative Algebras ◽  
Irreducible Components

The purpose of this paper is to study the structure and the algebraic varieties of Hom-associative algebras. We characterize multiplicative simple Hom-associative algebras and give some examples deforming the 2 × 2-matrix algebra to simple Hom-associative algebras. We provide a classification of n-dimensional Hom-associative algebras for n ≤ 3. Then we study irreducible components using deformation theory.

scholarly journals Classification of algebraic varieties

1977 ◽  
Vol 53 (3) ◽  
pp. 103-105 ◽  
Author(s):  
Shigeru Iitaka
Keyword(s):  
Algebraic Varieties
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