A classic problem in mathematics is solving systems of polynomial equations in several
unknowns. Today, polynomial models are ubiquitous and widely used across the sciences …

In the remarkable paper Graded Betti numbers of Cohen-Macaulay modules and the
multiplicity conjecture, Mats Boij and Jonas Söderberg conjectured that the Betti table of a …

We derive an explicit version of the Bernstein-Gel'fand-Gel'fand (BGG) correspondence
between bounded complexes of coherent sheaves on projective space and minimal doubly …

The subject of this book is the solution of polynomial equations, that is, systems of
(generally) non-linear algebraic equations. This study is at the heart of several areas of …

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Log in Menu Find a journal Publish with us Search Cart 1.Home 2.European Journal of …

Algebraic Geometry often seems very abstract, but in fact it is full of concrete examples and
problems. This side of the subject can be approached through the equations of a variety …

The existence of stable ACM vector bundles of high rank on algebraic varieties is a
challenging problem. In this paper, we study stable Ulrich bundles (that is, stable ACM …

The goal of this book is to cover the active developments of arithmetically Cohen-Macaulay
and Ulrich bundles and related topics in the last 30 years, and to present relevant …

Given a smooth projective toric variety X of Picard rank 2, we resolve the diagonal sheaf on
X× X by a linear complex of length dim⁡ X consisting of finite direct sums of line bundles. As …

The Mabuchi K-energy map is exhibited as a singular metric on the refined CM polarization
of any equivariant family X S. Consequently we show that the generalized Putaki invariant is …