Geodesic
Generic lattice ideals
Peeva, Irena 1   ; Sturmfels, Bernd 2
1 Department of Mathematics, Massachussetts Institute of Technology, Cambridge, Massachusetts 02139
2 Department of Mathematics, University of California, Berkeley, California 94720
Journal of the American Mathematical Society, Tome 11 (1998) no. 2, pp. 363-373 Cet article a éte moissonné depuis la source American Mathematical Society

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A concept of genericity is introduced for lattice ideals (and hence for ideals defining toric varieties) which ensures nicely structured homological behavior. For a generic lattice ideal we construct its minimal free resolution and we show that it is induced from the Scarf resolution of any reverse lexicographic initial ideal.
DOI : 10.1090/S0894-0347-98-00255-0

Peeva, Irena  1   ; Sturmfels, Bernd  2

1 Department of Mathematics, Massachussetts Institute of Technology, Cambridge, Massachusetts 02139
2 Department of Mathematics, University of California, Berkeley, California 94720 
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Peeva, Irena; Sturmfels, Bernd. Generic lattice ideals. Journal of the American Mathematical Society, Tome 11 (1998) no. 2, pp. 363-373. doi: 10.1090/S0894-0347-98-00255-0

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[2] Bárány, I., Scarf, H. E., Shallcross, D. The topological structure of maximal lattice free convex bodies: the general case 1995 244 251

[3] Stanley, Richard P. Combinatorics and commutative algebra 1983

[4] Sturmfels, Bernd Gröbner bases and convex polytopes 1996

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