منابع مشابه
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...
متن کاملThe 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.
متن کامل0 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...
متن کاملExterior 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, ...
متن کاملThe Crepant Resolution Conjecture
For orbifolds admitting a crepant resolution and satisfying a hard Lefschetz condition, we formulate a conjectural equivalence between the GromovWitten theories of the orbifold and the resolution. We prove the conjecture for the equivariant Gromov-Witten theories of Sym n C2 and Hilbn C2 .
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1993
ISSN: 0021-8693
DOI: 10.1006/jabr.1993.1060