Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/68669
Type: Artigo de periódico
Title: On the Gauss algebra associated to a rational map P-d -> P-n
Author: Brumatti, P
Gimenez, P
Simis, A
Abstract: Let k be a field of characteristic zero. Given a polynomial ring B over k and a finitely generated k-subalgebra A subset of B, one associates to A a k-subalgebra G(A) subset of B in such a way that when A is generated by n + 1 forms of the same degree then so is G(A) and, moreover, in this case, G(A) is the homogeneous coordinate ring of the Gauss image of Proj(A) subset of P-n in the Plucker embedding of the Grassmannian G(d, n), where d = dim Proj(A). The precise structure of G(A) is established when A is the homogeneous coordinate ring of a Veronese embedding of P-d Or Of a projective monomial curve. (C) 1998 Academic Press.
Country: EUA
Editor: Academic Press Inc
Rights: fechado
Identifier DOI: 10.1006/jabr.1998.7438
Date Issue: 1998
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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