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Products of Homogeneous Forms by E Ballico is a Mathematics article available to read on EtoBox.

What is Products of Homogeneous Forms about?

Here we give a geometric proof of the following result. Let K be an algebraically closed ÿeld. Fix an integer s ¿ 1 and positive integers ni and di, 1 6 i 6 s. Set mi = min{ni; di + 1}. For 1 6 i 6 s and 1 6 j 6 ni, take general homogeneous forms Fij ∈ K[x; y] with deg(Fij) = di. Let Ii ⊂ K[x; y] be the homogeneous ideal generated by the forms Fij, for 1 6 j 6 ni. Let d:= s i=1 di and denote by (I1 • • • Is) d be the degree d part of the homogeneous ideal I1 • • • Is. Then dim(I1 • • • Is) d = min

Who reads Products of Homogeneous Forms?

It is typically read by researchers, students, and practitioners in Mathematics.

Author
E Ballico
Publisher
Elsevier Science; Elsevier ; Elsevier BV (ISSN 0022-4049)
Published
2002
Language
EN
Field
Mathematics (Physical Sciences)

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