Sam Payne – Publications

Publications

A tropical proof of the Brill-Noether Theorem. (with F. Cools, J. Draisma, and E. Robeva). Adv. Math. 230 (2012), 759-776.
A note Brill-Noether theory and rank determining sets for metric graphs. (with C. M. Lim and N. Potashnik). Int. Math. Res. Not. IMRN, 2012.
Realization spaces for tropical fans. (with E. Katz). Combinatorial aspects of commutative algebra and algebraic geometry, Abel Symp., 6, Springer 2011, 73-88.
Positivity for toric vector bundles. (with M. Hering and M. Mustaţă). Ann. Inst. Fourier 60 (2010), no. 2, 607–640.
Discrete bidding games. (with M. Develin). Electronic J. Combin. 17 (2010), no. 1, Research Paper 85, 40 pp.
Cayley decompositions of lattice polytopes and upper bounds for h^∗-polynomials. (with C. Haase and B. Nill). J. Reine Angew. Math. 637 (2009), 207–216
Analytification is the limit of all tropicalizations. Math. Res. Lett. 16 (2009), no. 3, 543-556.
Lattice polytopes cut out by root systems and the Koszul property. Adv. Math. 220 (2009), 926–935.
Frobenius splittings of toric varieties. Algebra Number Theory 3 (2009), 107–119.
Toric vector bundles, branched covers of fans, and the resolution property. J. Algebraic Geom. 18 (2009), 1–36.
Fibers of tropicalization. Math. Z. 262 (2009), 301-311.
Bidding chess. (with J. Bhatt). Math. Intelligencer 31 (2009), 37-39.
Adelic amoebas disjoint from open halfspaces. J. Reine Angew. Math. 625 (2008), 115–123.
Piecewise polynomials, Minkowski weights, and localization on toric varieties. (with E. Katz). Algebra Number Theory 2 (2008), 135–155.
Moduli of toric vector bundles. Compositio Math. 144 (2008), 1199–1213.
Ehrhart series and lattice triangulations. Discr. Comput. Geom. 40 (2008), 365–376.
Stable base loci, movable curves, and small modifications, for toric varieties. Math. Z. 253 (2006) 421–431.
Equivariant Chow cohomology of toric varieties. Math. Res. Lett. 13 (2006), 29–41.
Asymptotic cohomological functions of toric divisors (with M. Hering and A. Küronya). Adv. Math. 207 (2006), no. 2, 634–645.
Fujita’s very ampleness conjecture for singular toric varieties. Tohoku Math. J. 58 (2006), 447–459.
Smooth complete toric threefolds with no nontrivial nef line bundles. (with O. Fujino). Proc. Japan Acad. Ser. A Math. Sci. 81 (2005), no. 10, 174--179 (2006).
Ehrhart polynomials and stringy Betti numbers. (with M. Mustaţă). Math. Ann. 333 (2005), 787–795.
Alternating graphs. (with C. Adams, R. Dorman, K. Foley, and J. Kravis). J. Combin. Theory Ser. B 77 (1999), 96–120.