Exterior algebra methods for the minimal resolution conjecture

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...

Exterior Algebra Methods for the Minimal Resolution Conjecture

If r ≥ 6, r 6= 9, we show that the minimal resolution conjecture (MRC) fails for a general set of γ points in Pr for almost (1/2) √ r values of γ . This strengthens the result of D. Eisenbud and S. Popescu [EP1], 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, ...

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...

The Minimal Resolution Conjecture for Points on the Cubic Surface

In this paper we prove that the generalized version of the Minimal Resolution Conjecture stated in [7] holds for certain general sets of points on a smooth cubic surface X ⊂ P. The main tool used is Gorenstein liaison theory and, more precisely, the relationship between the free resolutions of two linked schemes.

Exterior and Symmetric Algebra Methods in Algebraic Combinatorics