2 Fabrizio Catanese and Frank - Olaf Schreyer

Non-general Type Surfaces in P4: Some Remarks on Bounds and Constructions

0 Exterior algebra methods for the Minimal Resolution Conjecture

If r ≥ 6, r = 9, we show that the Minimal Resolution Conjecture fails for a general set of γ points in P r for almost 1 2 √ r values of γ. This strengthens the result of Eisenbud and Popescu [1999], who found a unique such γ for each r in the given range. Our proof begins like a variation of that of Eisenbud and Popescu, but uses exterior algebra methods as explained by Eisenbud and Schreyer [2...

algebra methods for the Minimal Resolution Conjecture

If r ≥ 6, r 6= 9, we show that the Minimal Resolution Conjecture fails for a general set of γ points in P for almost 12 √ r values of γ. This strengthens the result of Eisenbud and Popescu [1999], who found a unique such γ for each r in the given range. Our proof begins like a variation of that of Eisenbud and Popescu, but uses exterior algebra methods as explained by Eisenbud and Schreyer [200...

A ug 2 00 5 Exterior algebra methods for the construction of rational surfaces in the projective fourspace

The aim of this paper is to present a construction of smooth rational surfaces in projective fourspace with degree 12 and sectional genus 13. The construction is based on exterior algebra methods, finite field searches and standard deformation theory.

A Quick and Dirty Irreducibility Test for Multivariate Polynomials over Fq

2000 AMS Subject Classification: Primary 12E05