Tate resolutions for commutative graded algebras over a local ring
Tensor products of Clifford modules and linear maximal Cohen-Macaulay modules on quadrics
Tensor products of modules and the rigidity of Tor.
Tensor products of modules, rigidity and local cohomology.
Ternary quartics and 3-dimensional commutative algebras.
Testing for Cotorsionness over Domains
The André-Quillen homology of commutative graded algebras
The Bass-Murthy question: Serre dimension of Laurent polynomial extensions.
The Bass-Quillen conjecture in dimension three but characteristic ? 2,3 via a question of A. Suslin.
The Category of Graded Modules.
The Construction of a Module of Finite Projective Dimension from a Finitely Generated Module of Finite Injective Dimension.
The covering of rings by valuation rings
The deformation relation on the set of Cohen-Macaulay modules on a quotient surface singularity
Let X be a quotient surface singularity, and define as the directed graph of maximal Cohen-Macaulay (MCM) modules with edges corresponding to deformation incidences. We conjecture that the number of connected components of is equal to the order of the divisor class group of X, and when X is a rational double point (RDP), we observe that this follows from a result of A. Ishii. We view this as an enrichment of the McKay correspondence. For a general quotient singularity X, we prove the conjecture...
The dimension of certain catalecticant varieties.
The Divisor Class Group of Ordinary and Symbolic Blow-ups.
The dual notion of prime submodules
In this paper the concept of the second submodule (the dual notion of prime submodule) is introduced.
The equations of Rees algebras of ideals with linear presentation.
The Euler Characteristic of a Finitely Generated Module of Finite Injective Dimension.
The existence of equivariant pure free resolutions
Let be a polynomial ring in variables and let be a strictly increasing sequence of integers. Boij and Söderberg conjectured the existence of graded -modules of finite length having pure free resolution of type in the sense that for the -th syzygy module of has generators only in degree .This paper provides a construction, in characteristic zero, of modules with this property that are also -equivariant. Moreover, the construction works over rings of the form where is a polynomial...
The first term in a minimal pure injective resolution.