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Binomial free resolutions for normal toric surfaces
Author(s):
Vesselin
Gasharov;
Irena
Peeva
Journal:
Proc. Amer. Math. Soc.
127
(1999),
1583-1588.
MSC (1991):
Primary 13D02
Posted:
February 17, 1999
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Abstract:
We construct the minimal free resolution of the residue field over a normal toric surface.
References:
- [Ei]
- D. Eisenbud, Commutative Algebra With a View Toward Algebraic Geometry, Springer-Verlag, NY, 1995. MR 97a:13001
- [Fu]
- W. Fulton, Introduction to toric varieties, Ann. Math. Studies 131, Princeton University Press, Princeton, 1993. MR 94g:14028
- [HRW]
- J. Herzog, V. Reiner, and V. Welker, The Koszul property in affine semigroup rings, preprint (1997).
- [Fr]
- R. Fröberg, Determination of a class of Poincaré series, Math. Scand. 37 (1975), 29-39. MR 53:8057
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- O. Laudal and A. Sletsjøe, Betti numbers of monoid algebras. Applications to 2-dimensional torus embeddings, Math. Scand. 56 (1985), 145-162. MR 87h:13010
- [PRS]
- I. Peeva, V. Reiner, and B. Sturmfels, How to shell a monoid, preprint, Math. Ann. 310 (1998), 379-393. CMP 98:07
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Additional Information:
Vesselin
Gasharov
Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
Address at time of publication:
Department of Mathematics, Cornell University, Ithaca, New York 14853
Irena
Peeva
Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Address at time of publication:
Department of Mathematics, Cornell University, Ithaca, New York 14853
DOI:
10.1090/S0002-9939-99-04732-2
PII:
S 0002-9939(99)04732-2
Received by editor(s):
September 4, 1997
Posted:
February 17, 1999
Communicated by:
Wolmer V. Vasconcelos
Copyright of article:
Copyright
1999,
American Mathematical Society
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