Author | Migliore, Juan C. author |
---|---|
Title | Introduction to Liaison Theory and Deficiency Modules [electronic resource] / by Juan C. Migliore |
Imprint | Boston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 1998 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-1794-7 |
Descript | XIII, 218 p. online resource |
1 Background -- 1.1 Finitely Generated Graded S-Modules -- 1.2 The Deficiency Modules (Mi)(V) -- 1.3 Hyperplane and Hypersurface Sections -- 1.4 Artinian Reductions and h-Vectors -- 1.5 Examples -- 2 Submodules of the Deficiency Module -- 2.1 Measuring Deficiency -- 2.2 Generalizing Dubreilโs Theorem -- 2.3 Lifting the Cohen-Macaulay Property -- 3 Buchsbaum Curves and Liaison Addition -- 3.1 Buchsbaum Curves -- 3.2 Liaison Addition -- 3.3 Constructing Buchsbaum Curves in P3 -- 4 Gorenstein Subschemes of Projective Space -- 4.1 Basic Results on Gorenstein Ideals -- 4.2 Constructions of Gorenstein Schemes -- 4.3 Codimension Three Gorenstein Ideals -- 5 Liaison Theory in Arbitrary Codimension -- 5.1 Definitions and First Examples -- 5.2 Relations Between Linked Schemes -- 5.3 The Hartshorne-Schenzel Theorem -- 5.4 The Structure of an Even Liaison Class -- 5.5 Geometric Invariants of a Liaison Class -- 6 Liaison Theory in Codimension Two -- 6.1 The aCM Situation and Generalizations -- 6.2 Raoโs Results -- 6.3 The Lazarsfeld-Rao Property -- 6.4 Applications