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On space curves with good cohomological properties.

Gunnar Floystad — 1991

Mathematische Annalen

Determining obstructions for space curves, with applications to non-reduced components of the Hilbert scheme.

Gunnar Floystad — 1993

Journal für die reine und angewandte Mathematik

Construction of space curves with good properties.

Gunnar Floystad — 1991

Mathematische Annalen

A bound for the degree of smooth surfaces in $P^{4}$ not of general type

Robert Braun; Gunnar Fløystad — 1994

Compositio Mathematica

The existence of equivariant pure free resolutions

David Eisenbud; Gunnar Fløystad; Jerzy Weyman — 2011

Annales de l’institut Fourier

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...

Artin-Schelter regular algebras of dimension five

Gunnar Fløystad; Jon Eivind Vatne — 2011

Banach Center Publications

We show that there are exactly three types of Hilbert series of Artin-Schelter regular algebras of dimension five with two generators. One of these cases (the most extreme) may not be realized by an enveloping algebra of a graded Lie algebra. This is a new phenomenon compared to lower dimensions, where all resolution types may be realized by such enveloping algebras.

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Currently displaying 1 – 6 of 6

On space curves with good cohomological properties.

Determining obstructions for space curves, with applications to non-reduced components of the Hilbert scheme.

Construction of space curves with good properties.

A bound for the degree of smooth surfaces in $P^{4}$ not of general type

The existence of equivariant pure free resolutions

Artin-Schelter regular algebras of dimension five

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Formula preview

Currently displaying 1 – 6 of 6

On space curves with good cohomological properties.

Determining obstructions for space curves, with applications to non-reduced components of the Hilbert scheme.

Construction of space curves with good properties.

A bound for the degree of smooth surfaces in P 4 not of general type

The existence of equivariant pure free resolutions

Artin-Schelter regular algebras of dimension five

A bound for the degree of smooth surfaces in $P^{4}$ not of general type