Batyrev, V., On the Classification of Smooth Projective Toric Varieties, Tôhoku Mathematical Journal, 43 (1991), no. 4, 569–585.

Batyrev, V., On the Classification of Smooth Projective Toric Varieties, Tôhoku Mathematical Journal, 43 (1991), no. 4, 569–585.)| false
• Search Google Scholar
• Export Citation

Batyrev, V., Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties, J. Algebraic Geom., 3 (1994), no. 3, 493–535.

Batyrev, V., Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties, J. Algebraic Geom., 3 (1994), no. 3, 493–535.)| false
• Search Google Scholar
• Export Citation

Beck, M. and Robins, S., Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra, Springer, 2007

Beck, M. and Robins, S., Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra, Springer, 2007)| false
• Search Google Scholar
• Export Citation

Bruns, W. and Herzog, J., Cohen–Macauley rings, revised ed., Cambridge University Press, Cambridge, 1998

Bruns, W. and Herzog, J., Cohen–Macauley rings, revised ed., Cambridge University Press, Cambridge, 1998)| false
• Search Google Scholar
• Export Citation

Beck, M. and Sottile, F., Irrational proofs for three theorems of Stanley, European J. Combin., 28 (2007), no. 1, 403–409.

Beck, M. and Sottile, F., Irrational proofs for three theorems of Stanley, European J. Combin., 28 (2007), no. 1, 403–409.)| false
• Search Google Scholar
• Export Citation

Casagrande, C., The number of vertices of a Fano polytope, Ann. Inst. Fourier (Grenoble), 56 (2006), no. 1, 121–130.

Casagrande, C., The number of vertices of a Fano polytope, Ann. Inst. Fourier (Grenoble), 56 (2006), no. 1, 121–130.)| false
• Search Google Scholar
• Export Citation

Cox, D., Little, J. and O’Shea, D., Using Algebraic Geometry, Springer, 2005.

Cox, D., Little, J. and O’Shea, D., Using Algebraic Geometry, Springer, 2005.)| false
• Search Google Scholar
• Export Citation

Ehrhart, E., Sur un problème de géométrie diophantienne linéaire. II. Systèmes diophantiens linéaires, J. Reine Angew. Math., 227 (1967), 25–49.

Ehrhart, E., Sur un problème de géométrie diophantienne linéaire. II. Systèmes diophantiens linéaires, J. Reine Angew. Math., 227 (1967), 25–49.)| false
• Search Google Scholar
• Export Citation

Fiset, M. H. J. and Kasprzyk, A. M., A note on palindromic δ-vectors for certain rational polytopes, Electron. J. Combin., 15 (2008), no. N18.

Fiset, M. H. J. and Kasprzyk, A. M., A note on palindromic δ-vectors for certain rational polytopes, Electron. J. Combin., 15 (2008), no. N18.)| false
• Search Google Scholar
• Export Citation

Geramita, A. V., Maroscia, P. and Roberts, L. G., The Hilbert function of a reduced k-algebra, J. London Math. Soc. (2), 28 (1983), no. 3, 443–452.

Geramita, A. V., Maroscia, P. and Roberts, L. G., The Hilbert function of a reduced k-algebra, J. London Math. Soc. (2), 28 (1983), no. 3, 443–452.)| false
• Search Google Scholar
• Export Citation

Hochster, M., Rings of invariants of tori, Cohen-Macaulay rings generated by monomials, and polytopes, Ann. of Math. (2), 96 (1972), 318–337.

Hochster, M., Rings of invariants of tori, Cohen-Macaulay rings generated by monomials, and polytopes, Ann. of Math. (2), 96 (1972), 318–337.)| false
• Search Google Scholar
• Export Citation

Hibi, T., What can be said about pure O-sequences? J. Combin. Theory Ser. A, 50 (1989), no. 2, 319–322.

Hibi, T., What can be said about pure O-sequences? J. Combin. Theory Ser. A, 50 (1989), no. 2, 319–322.)| false
• Search Google Scholar
• Export Citation

Hibi, T., A lower bound theorem for Ehrhart polynomials of convex polytopes, Adv. Math., 105 (1994), no. 2, 162–165.

Hibi, T., A lower bound theorem for Ehrhart polynomials of convex polytopes, Adv. Math., 105 (1994), no. 2, 162–165.)| false
• Search Google Scholar
• Export Citation

Hibi, T., Ehrhart polynomials of convex polytopes, h-vectors of simplicial complexes, and nonsingular projective toric varieties, Discrete and computational geometry (New Brunswick, NJ, 1989/1990), DIMACS Ser. Discrete Math. Theoret. Comput. Sci., vol. 6, Amer. Math. Soc., Providence, RI, 1991, pp. 165–177.

Hibi, T., Ehrhart polynomials of convex polytopes, h-vectors of simplicial complexes, and nonsingular projective toric varieties, Discrete and computational geometry (New Brunswick, NJ, 1989/1990), DIMACS Ser. Discrete Math. Theoret. Comput. Sci., vol. 6, Amer. Math. Soc., Providence, RI, 1991, pp. 165–177.)| false
• Search Google Scholar
• Export Citation

Haase, C. and Melnikov, I. V., The reflexive dimension of a lattice polytope, Ann. Comb., 10 (2006), no. 2, 211–217.

Haase, C. and Melnikov, I. V., The reflexive dimension of a lattice polytope, Ann. Comb., 10 (2006), no. 2, 211–217.)| false
• Search Google Scholar
• Export Citation

Ohsugi, H. and Hibi, T., Convex polytopes all of whose reverse lexicographic initial ideals are squarefree, Proc. Amer. Math. Soc., 129 (2001), no. 9, 2541–2546

Ohsugi, H. and Hibi, T., Convex polytopes all of whose reverse lexicographic initial ideals are squarefree, Proc. Amer. Math. Soc., 129 (2001), no. 9, 2541–2546)| false
• Search Google Scholar
• Export Citation

Harris, J., Algebraic Geometry. A First Course, Springer, 1992.

Harris, J., Algebraic Geometry. A First Course, Springer, 1992.)| false
• Search Google Scholar
• Export Citation

Macdonald, I. G., Polynomials associated with finite cell-complexes, J. London Math. Soc. (2), 4 (1971), 181–192.

Macdonald, I. G., Polynomials associated with finite cell-complexes, J. London Math. Soc. (2), 4 (1971), 181–192.)| false
• Search Google Scholar
• Export Citation

Oda, T., Problems on Minkowski sums of convex lattice polytopes, arXiv preprint: http://arxiv.org/abs/0812.1418 (2008).

Oda, T., Problems on Minkowski sums of convex lattice polytopes, arXiv preprint: http://arxiv.org/abs/0812.1418 (2008).)| false
• Search Google Scholar
• Export Citation

Øbro, M., An algorithm for the classification of smooth Fano polytopes, arXiv preprint: http://arxiv.org/abs/0704.0049 (2007), classifications available from http://grdb.co.uk/.

Øbro, M., An algorithm for the classification of smooth Fano polytopes, arXiv preprint: http://arxiv.org/abs/0704.0049 (2007), classifications available from http://grdb.co.uk/.)| false
• Search Google Scholar
• Export Citation

Schepers, J., private communication.

Schepers, J., private communication.)| false
• Search Google Scholar
• Export Citation

Stanley, R. P., Enumerative Combinatorics, Vol. 1, Cambridge Studies in Advanced Mathematics, vol. 49, Cambridge University Press, Cambridge, 1997

Stanley, R. P., Enumerative Combinatorics, Vol. 1, Cambridge Studies in Advanced Mathematics, vol. 49, Cambridge University Press, Cambridge, 1997)| false
• Search Google Scholar
• Export Citation

Stanley, R. P., Hilbert functions of graded algebras, Advances in Math., 28 (1978), no. 1, 57–83.

Stanley, R. P., Hilbert functions of graded algebras, Advances in Math., 28 (1978), no. 1, 57–83.)| false
• Search Google Scholar
• Export Citation

Stanley, R. P., Cohen-Macaulay complexes. Higher combinatorics, (Proc. NATO Advanced Study Inst., Berlin, 1976), pp. 51–62. NATO Adv. Study Inst. Ser., Ser. C: Math. and Phys. Sci., 31. Reidel, Dordrecht, 1977.

Stanley, R. P., Cohen-Macaulay complexes. Higher combinatorics, (Proc. NATO Advanced Study Inst., Berlin, 1976), pp. 51–62. NATO Adv. Study Inst. Ser., Ser. C: Math. and Phys. Sci., 31. Reidel, Dordrecht, 1977.)| false
• Search Google Scholar
• Export Citation

Stanley, R. P., On the Hilbert function of a graded Cohen-Macaulay domain, J. Pure Appl. Algebra, 73 (1991), no. 3, 307–314.

Stanley, R. P., On the Hilbert function of a graded Cohen-Macaulay domain, J. Pure Appl. Algebra, 73 (1991), no. 3, 307–314.)| false
• Search Google Scholar
• Export Citation

Stanley, R. P., Decompositions of rational convex polytopes, Ann. Discrete Math., 6 (1980), 333–342, Combinatorial mathematics, optimal designs and their applications (Proc. Sympos. Combin. Math. and Optimal Design, Colorado State Univ., Fort Collins, Colo., 1978).

Stanley, R. P., Decompositions of rational convex polytopes, Ann. Discrete Math., 6 (1980), 333–342, Combinatorial mathematics, optimal designs and their applications (Proc. Sympos. Combin. Math. and Optimal Design, Colorado State Univ., Fort Collins, Colo., 1978).)| false
• Search Google Scholar
• Export Citation

Stanley, R. P., Two poset polytopes, Discrete Comput. Geom., 1 (1986), no. 1, 9–23.

Stanley, R. P., Two poset polytopes, Discrete Comput. Geom., 1 (1986), no. 1, 9–23.)| false
• Search Google Scholar
• Export Citation

Sturmfels, B., Gröbner Bases and Convex Polytopes, American Mathematical Society, University Lecture Series, Vol. 8, Providence, RI, 1995.

Sturmfels, B., Gröbner Bases and Convex Polytopes, American Mathematical Society, University Lecture Series, Vol. 8, Providence, RI, 1995.)| false
• Search Google Scholar
• Export Citation