We study algebraic invariants of the symmetric algebra of the square-free monomial ideal L = I_n-1+J_n-1 in the polynomial ring R = K[X_1; ... ;X_n;Y_1, ..., Yn], where I_n-1 (resp. Jn_1) is generated by all square-free monomials of degree n-1 in the variables X1;...;Xn (resp. Y1; ... ;Yn). In particular, the dimension and the depth of Sym(L) are investigated by techniques of Gr¨obner bases and theory of s-sequences.
COMPUTING GROEBNER BASES AND INVARIANTS OF THE SYMMETRIC ALGEBRA
LA BARBIERA, MONICA;
2016-01-01
Abstract
We study algebraic invariants of the symmetric algebra of the square-free monomial ideal L = I_n-1+J_n-1 in the polynomial ring R = K[X_1; ... ;X_n;Y_1, ..., Yn], where I_n-1 (resp. Jn_1) is generated by all square-free monomials of degree n-1 in the variables X1;...;Xn (resp. Y1; ... ;Yn). In particular, the dimension and the depth of Sym(L) are investigated by techniques of Gr¨obner bases and theory of s-sequences.File in questo prodotto:
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