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Gorenstein liaison in
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Joshua Lesperance
Veröffentlicht/Copyright:
17. Mai 2006
Abstract
One of the main open questions for Gorenstein liaison is whether or not the deficiency module of a curve will determine its even G-liaison class in ℙn, n ≥ 4. In this paper, we show that this is indeed the situation for many degenerate curves in ℙ4. As a special case we are able to show that any two degenerate Buchsbaum curves will belong to the same even G-liaison class if and only if they have isomorphic deficiency modules (up to shifts). We then explore when this may also be true for curves which are obtained as hypersurface sections of Buchsbaum surfaces in ℙ4.
Received: 2004-08-27
Published Online: 2006-05-17
Published in Print: 2006-03-24
© Walter de Gruyter
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Artikel in diesem Heft
- On ovoids of PG(3, q)
- Real algebraic morphisms on 2-dimensional conic bundles
- Interpolation of homogeneous polynomials over a finite field
-
Extensions of isomorphisms for affine Grassmannians over
- Geodesics in non-positively curved plane tessellations
- Elation generalized quadrangles of order (q, q2), q even, with a classical subquadrangle of order q
-
Gorenstein liaison in
- Flat manifolds, harmonic spinors, and eta invariants
- Cremona convexity, frame convexity and a theorem of Santaló
- Two-transitive ovals
Artikel in diesem Heft
- On ovoids of PG(3, q)
- Real algebraic morphisms on 2-dimensional conic bundles
- Interpolation of homogeneous polynomials over a finite field
-
Extensions of isomorphisms for affine Grassmannians over
- Geodesics in non-positively curved plane tessellations
- Elation generalized quadrangles of order (q, q2), q even, with a classical subquadrangle of order q
-
Gorenstein liaison in
- Flat manifolds, harmonic spinors, and eta invariants
- Cremona convexity, frame convexity and a theorem of Santaló
- Two-transitive ovals
