EUDML

Let $A = K [x_{1}, \dots, x_{m}]$ be a polynomial ring in $m$ variables and let $d = (d_{0} < \dots < d_{m})$ be a strictly increasing sequence of $m + 1$ integers. Boij and Söderberg conjectured the existence of graded $A$ -modules $M$ of finite length having pure free resolution of type $d$ in the sense that for $i = 0, \dots, m$ the $i$ -th syzygy module of $M$ has generators only in degree $d_{i}$ . This paper provides a construction, in characteristic zero, of modules with this property that are also $G L (m)$ -equivariant. Moreover, the construction works over...

Cohomology of coherent sheaves and series of supernatural bundles

David Eisenbud; Frank-Olaf Schreyer — 2010

Journal of the European Mathematical Society

We show that the cohomology table of any coherent sheaf on projective space is a convergent—but possibly infinite—sum of positive real multiples of the cohomology tables of what we call supernatural sheaves.

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Notes on an extension of Krull's principal ideal theorem

The Classification of Homogeneous Cohen-Macauly Rings of Finite Representation Type.

Evolutions, symbolic squares, and Fitting ideals.

The dimension of the Chow variety of curves

Direct method for primary decomposition.

Irreducibility and monodromy of some families of linear series

Irreducibility of some families of linear series with Brill-Noether number. I

Every Algebraic Set in n-Space Is the Intersection of n Hypersurfaces.

On the Variety of Smooth Rational Space Curves with Given Degree and Normal Bundle.

The existence of equivariant pure free resolutions

Cohomology of coherent sheaves and series of supernatural bundles

Projective Resolutions of Cohen-Macaulay Algebras.

On the Hurwitz scheme and its monodromy

The Clifford dimension of a projective curve