Associated Graded Algebra of a Gorenstein Artin Algebra - Memoirs of the American Mathematical Society (Paperback)
  • Associated Graded Algebra of a Gorenstein Artin Algebra - Memoirs of the American Mathematical Society (Paperback)
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Associated Graded Algebra of a Gorenstein Artin Algebra - Memoirs of the American Mathematical Society (Paperback)

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Paperback 115 Pages / Published: 28/02/1994
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In 1904, Macaulay described the Hilbert function of the intersection of two plane curve branches: It is the sum of a sequence of functions of simple form. This monograph describes the structure of the tangent cone of the intersection underlying this symmetry. Iarrobino generalizes Macaulay's result beyond complete intersections in two variables to Gorenstein Artin algebras in an arbitrary number of variables. He shows that the tangent cone of a Gorenstein singularity contains a sequence of ideals whose successive quotients are reflexive modules. Applications are given to determining the multiplicity and orders of generators of Gorenstein ideals and to problems of deforming singular mapping germs. Also included are a survey of results concerning the Hilbert function of Gorenstein Artin algebras and an extensive bibliography.

Publisher: American Mathematical Society
ISBN: 9780821825761
Number of pages: 115
Weight: 255 g
Dimensions: 255 x 180 mm

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