6533b834fe1ef96bd129e293

RESEARCH PRODUCT

Maximal Cohen-Macaulay Modules over the Affine Cone of the Simple Node

Corina Baciu

subject

Mathematics - Algebraic GeometryMathematics::Commutative AlgebraFOS: MathematicsCommutative Algebra (math.AC)Mathematics - Commutative AlgebraAlgebraic Geometry (math.AG)13C14 13H1014H60 14H45

description

A concrete description of all graded maximal Cohen-Macaulay modules of rank one and two over the affine cone of the simple node (a non-isolated singularity) is given. For this purpose we construct an alghoritm that provides extensions of MCM modules over an arbitrary hypersurface.

http://arxiv.org/abs/math/0511405