A construction of codimension three arithmetically Gorenstein subschemes of projective space

DOI10.1090/S0002-9947-97-01978-8zbMath0885.14022OpenAlexW1552515192MaRDI QIDQ4372568

Chris Peterson, Juan C. Migliore

Publication date: 16 December 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-01978-8

zbMATH Keywords

codimension threeliaisonarithmetically Gorensteincodimension three linkagerank three reflexive sheaf

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Syzygies, resolutions, complexes and commutative rings (13D02) Linkage (14M06) Low codimension problems in algebraic geometry (14M07)

Related Items

An iterative construction of Gorenstein ideals, The equations defining blowup algebras of height three Gorenstein ideals, Special cubic Cremona transformations of \(\mathbb{P}^{6}\) and \(\mathbb{P}^{7}\), Pfaffian representations of cubic surfaces, Maximal families of Gorenstein algebras, The weak and strong Lefschetz properties for Artinian \(K\)-algebras, The minimal free resolution of the Migliore-Peterson rings in the case that the reflexive sheaf has even rank, A constructive approach to one-dimensional Gorenstein ${\mathbf {k}}$-algebras, Determinantal schemes and Buchsbaum-Rim sheaves, Reduced Gorenstein codimension three subschemes of projective space, Buchsbaum-Rim sheaves and their multiple sections, Sheaves with canonical determinant on Cohen-Macaulay schemes., The structure of the inverse system of Gorenstein \(k\)-algebras

Uses Software

• Macaulay2

Cites Work

• Threefolds of degree 9 and 10 in \({\mathbb{P}}^ 5\)
• Numerical invariants of liaison classes
• On a theorem of Castelnuovo, and the equations defining space curves
• On the complexity of computing syzygies
• Sur les surfaces lisses de \({\mathbb{P}}_ 4\). (On the smooth surfaces of \({\mathbb{P}}_ 4)\)
• Residues and zero-cycles on algebraic varieties
• Stable reflexive sheaves
• Vector bundles on complex projective spaces
• Liaison equivalence classes
• The syzygy problem
• On 0-dimensional complete intersections
• Liaison des variétés algébriques. I
• Liaison among curves in \(\mathbb{P}^3\)
• The Lazarsfeld-Rao property on an arithmetically Gorenstein variety
• Notes on varieties of codimension 3 in \(\mathbb{P}^ N\)
• On the equations which are needed to define a closed subscheme of the projective space
• The Hilbert function of generic plane sections of curves of \({\mathbb P}^ 3\)
• Notes on liaison and duality
• Almost complete intersections are not Gorenstein rings
• Reduced Gorenstein codimension three subschemes of projective space
• Hyperplane sections of a smooth curve in P³
• Gorenstein Algebras and the Cayley-Bacharach Theorem
• The Lazarsfeld-Rao Problem for Liaison Classes of Two-Codimensional Subschemes of P n
• BOUNDEDNESS OF LOW-CODIMENSIONAL SUBMANIFOLDS OF PROJECTIVE SPACE
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• The Degree of Smooth Non-Arithmetically Cohen-Macaulay Threefolds in P 5
• On surfaces in P^4 and 3-folds in P^5
• Surfaces of Degree 10 in the Projective Fourspace via Linear Systems and Linkage
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