Seminars of Section Algebra Geometry
Santiago Zarzuela Armengou
Departament d Algebra i Geometria, Univeristat de Barcelona, Spain.
Full text of lecture:
University of Ioannina
Department of Mathematics
7 September 2010
Santiago Zarzuela
ON THE INVARIANTS OF THE TANGENT CONE OF A ONE DIMENSIONAL LOCAL RING
ABSTRACT
Given a one-dimensional Cohen-Macaulay local ring we study the structure of its tangent cone
defined by means of the graded Noether normalization provided by a minimal reduction. This
allows to define a set of invariants that refines classical invariants of the ring as the multiplicity. We describe such invariants and give explicit formulas for them in terms of colon ideals. Computations will also be given, particularly for the case of semigroup rings.
