Artículos de revistas
On The Gauss Algebra Associated To A Rational Map ℙd → ℙn
Registro en:
Journal Of Algebra. , v. 207, n. 2, p. 557 - 571, 1998.
218693
10.1006/jabr.1998.7438
2-s2.0-0039413621
Autor
Brumatti P.
Gimenez P.
Simis A.
Institución
Resumen
Letkbe a field of characteristic zero. Given a polynomial ringBoverkand a finitely generatedk-subalgebraA⊂B, one associates toAak-subalgebra G(A)⊂Bin such a way that whenAis generated byn+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)⊂Pnin the Plücker embedding of the Grassmannian G(d,n), whered=dimProj(A). The precise structure of G(A) is established whenAis the homogeneous coordinate ring of a Veronese embedding of Pdor of a projective monomial curve. © 1998 Academic Press. 207 2 557 571 Cavaliere, M.P., Niesi, G., On monomial curves and Cohen-Macaulay type (1983) Manuscripta Math., 42, pp. 147-159 Griffiths, P., Harris, J., (1978) Principles of Algebraic Geometry, , New York: Wiley Harris, J., Algebraic Geometry: A First Course (1992) Graduate Texts in Mathematics, 133. , Berlin/Heidelberg/New York: Springer-Verlag Morales, M., Equation des variétés monomiales en codimension deux (1995) J. Algebra, 175, pp. 1082-1095 Morales, M., Simis, A., Monomial curves in ℙ3 (1992) Comm. Algebra, 20, pp. 1109-1121 Simis, A., On the jacobian module associated to a graph (1998) Proc. Amer. Math. Soc., 126, pp. 989-997 Sturmfels, B., Gröbner Bases and Convex Polytopes (1996) University Lecture Series, 8. , Providence: Amer. Math. Soc Zariski, O., Samuel, P., (1967) Commutative Algebra, , Princeton: Van Nostrand