## Combinatorial construction of toric residues

*Khetan, Amit*;

*Soprounov, Ivan*;

- Subject: Mathematics - Combinatorics | 14M25, 52B20 | Mathematics - Algebraic Geometryarxiv: Mathematics::Algebraic Geometry

- References (19) 19 references, page 1 of 2
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[1] Ian Anderson, A first course in combinatorial mathematics, Oxford University Press, 1989 (2nd ed.)

[2] V. Batyrev and D. Cox. On the Hodge structure of projective hypersurfaces in toric varieties, Duke J. Math. 75 (1994), 293-338

[3] V. Batyrev, E. Materov, Toric Residues and Mirror Symmetry, Moscow Math. J. 2 (2002), no. 3, 435-475.

[4] E. Cattani, D. Cox, A. Dickenstein, Residues in Toric Varieties, Compositio Math. 108 (1997), no. 1, 35-76.

[5] E. Cattani, A. Dickenstein, A global view of residues in the torus, J. Pure Appl. Algebra 117/118 (1997), 119-144.

[6] E. Cattani, A. Dickenstein, Planar Configurations of Lattice Vectors and GKZ-Rational Toric Fourfolds in P6 , J. Alg. Comb. 19 (2004), 47-65.

[7] E. Cattani, A. Dickenstein, B. Sturmfels, Residues and Resultants, J. Math. Sci. Univ. Tokyo, 5 (1998), 119-148.

[8] E. Cattani, A. Dickenstein, and B. Sturmfels. Computing multidimensional residues. Algorithms in algebraic geometry and applications (Santander, 1994), 135-164, Progr. Math., 143, Birkha¨user, Basel, 1996.

[9] E. Cattani, A. Dickenstein, B. Sturmfels, Rational hypergeometric functions, Compositio Math. 128 (2001), 217-240.

[10] E. Cattani, A. Dickenstein, B. Sturmfels, Binomial Residues, Ann. Inst. Fourier 52 (2002), 687-708.

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