Abstract
Let f1, ..., fr ∈ K [x], K is a field, be homogeneous polynomials and put F = ∑i = 1r yi fi ∈ K [x, y]. The quotient J = K [x, y] / I, where I is the ideal generated by the ∂ F / ∂ xi and ∂ F / ∂ yj, is the Jacobian ring of F. We describe J by computing the cohomology of a certain complex whose top cohomology group is J.
Original language | English (US) |
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Pages (from-to) | 1193-1227 |
Number of pages | 35 |
Journal | Journal of Algebra |
Volume | 304 |
Issue number | 2 |
DOIs | |
State | Published - Oct 15 2006 |
Keywords
- Complete intersection
- Hodge numbers
- Jacobian ring