Geometric classification of quadratic algebras in two variables
Ueyama, Kenta
Tsukuba J. Math., Tome 34 (2010) no. 1, p. 79-96 / Harvested from Project Euclid
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In this paper, we classify quadratic algebras in two variables at two levels: (1) up to isomorphism of graded algebras, (2) up to graded Morita equivalence. In general, it is difficult to classify algebras by looking at generators and relations, so we take a geometric approach, namely, using point schemes defined by Artin, Tate and Van den Bergh, to complete the classification.
Publié le : 2010-08-15
Classification:  quadratic algebra,  graded Morita equivalence,  point scheme,  16S37,  16W50,  16D90,  16S38 
@article{1283967409,
     author = {Ueyama, Kenta},
     title = {Geometric classification of quadratic algebras in two variables},
     journal = {Tsukuba J. Math.},
     volume = {34},
     number = {1},
     year = {2010},
     pages = { 79-96},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1283967409}
}

Ueyama, Kenta. Geometric classification of quadratic algebras in two variables. Tsukuba J. Math., Tome 34 (2010) no. 1, pp.  79-96. http://gdmltest.u-ga.fr/item/1283967409/