. A C ] 1 9 N ov 2 00 7 FINITE SUBSETS OF PROJECTIVE SPACE , AND THEIR IDEALS
نویسنده
چکیده
Let A be a finite set of closed rational points in projective space, let I be the vanishing ideal of A , and let D(A ) be the set of exponents of those monomials which do not occur as leading monomials of elements of I . We show that the size of A equals the number of axes contained in D(A ). Furthermore, we present an algorithm for the construction of the Gröbner basis of I (A ), hence also of D(A ).
منابع مشابه
7 N ov 2 00 7 FINITE SUBSETS OF PROJECTIVE SPACE , AND THEIR IDEALS
Let A be a finite set of closed rational points in projective space, let I be the vanishing ideal of A , and let D(A ) be the set of exponents of those monomials which do not occur as leading monomials of elements of I . We show that the size of A equals the number of axes contained in D(A ). Furthermore, we present an algorithm for the construction of the Gröbner basis of I (A ), hence also of...
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