Let C⊂ P2 be a reduced, singular curve of degree d and equation f= 0. Let Σ denote the jacobian subscheme of C. We have 0 → E→ 3. O→ IΣ(d- 1) → 0 (the surjection is given by the partials of f). We study the relationships between the Betti numbers of the module H∗0(E) and the integers, d, τ, where τ= deg (Σ). We observe that our results apply to any quasi-complete intersection of type (s, s, s).
Quasi-complete intersections in P2 and syzygies
Ellia P.
2020
Abstract
Let C⊂ P2 be a reduced, singular curve of degree d and equation f= 0. Let Σ denote the jacobian subscheme of C. We have 0 → E→ 3. O→ IΣ(d- 1) → 0 (the surjection is given by the partials of f). We study the relationships between the Betti numbers of the module H∗0(E) and the integers, d, τ, where τ= deg (Σ). We observe that our results apply to any quasi-complete intersection of type (s, s, s).File in questo prodotto:
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