Geodesic
A new discriminant algebra construction
Documenta mathematica, Tome 21 (2016), pp. 1051-1088
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A discriminant algebra operation sends a commutative ring R and an R-algebra A of rank n to an R-algebra Δ_A/R of rank 2 with the same discriminant bilinear form. Constructions of discriminant algebra operations have been put forward by Rost, Deligne, and Loos. We present a simpler and more explicit construction that does not break down into cases based on the parity of n. We then prove properties of this construction, and compute some examples explicitly.
DOI : 10.4171/dm/552
Classification : 11R11, 13B02, 13B40, 13C10, 14B25
Mots-clés : discriminant algebra, discriminant form, algebra of finite rank, étale algebra, polynomial law 
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     author = {Owen Biesel and Alberto Gioia},
     title = {A new discriminant algebra construction},
     journal = {Documenta mathematica},
     pages = {1051--1088},
     year = {2016},
     volume = {21},
     doi = {10.4171/dm/552},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/552/}
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Owen Biesel; Alberto Gioia. A new discriminant algebra construction. Documenta mathematica, Tome 21 (2016), pp. 1051-1088. doi: 10.4171/dm/552

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