3.1. Introduction......................................... 3.2. Connection Between Integral and Rational
Invariants...... 3.3. Basic Invariants...................................... 3.4. Hilbert's Theorem on …

The central theme of this book is an exposition of the geometric technique of calculating
syzygies. It is written from a point of view of commutative algebra, and without assuming any …

Restricting linear syzygies: algebra and geometry Page 1 Compositio Math. 141 (2005)
1460–1478 doi:10.1112/S0010437X05001776 Restricting linear syzygies: algebra and …

In Chapter 1 we show that when a set D—(Q, P) of generator and relation degrees is given,
Q={q1:..., qu} and P={px,..., pw}, the family GorD of Gorenstein algebras A= R/J with J having …

This article is an expository account of the theory of twisted commutative algebras, which
simply put, can be thought of as a theory for handling commutative algebras with large …

We survey results and techniques in the topological study of simplicial complexes of (di-,
multi-, hyper-) graphs whose node degrees are bounded from above. These complexes …

As remarked in [1], where this result was conjectured, the surfaces containing a line give a
component of Σ^ codimension exactly d—3. In this paper, we give a substantially easier …

Let X be the set of n• n matrices over a field k of characteristic 0. For a partition u=(nl, u2.....
us) of n we denote by O (u) the set of nilpotent matrices in X with Jordan blocks of sizes ul …

Syzygies of Veronese Embeddings Page 1 Syzygies of Veronese Embeddings GIORGIO
OTTAVIANI1 and RAFFAELLA PAOLETTI2* 1Dipartimento di Matematica `U. Dini' …

This is the first in a series of papers in which we study representations of the Brauer category
and its allies. We define a general notion of triangular category that abstracts key properties …