Jerome William Hoffman

Publications


  1. The Hodge theory of flat vector bundles on a complex torus, Transactions. of the A.M.S., 271, 1982, 117 - 131.

  2. An example in the theory of degenerating algebraic curves, Boll. U. M. I., 1 - B, 1982, 885 - 917.

  3. Counterexamples to the lifting problem for singularities, Comm. in Algebra, 11, 1983, 523 - 549.

  4. The Hodge theory of stable curves, Mem. Amer. Math. Soc. 51 (1984) no. 308, 91 pages.

  5. On Kollar's vanishing theorems I, Duke Math. J. 59, 1989, 521 - 535.

  6. Heller's Axioms for homotopy theory, Cahiers de Topologie et Geometrie Differentielle Categoriques, vol XXXVII - 3 (1996) 179 - 255.

  7. (with Morales, J.) Arithmetic of binary cubic forms, L'Enseignement\\ Mathematique, 46 (2000), 61-94.

  8. (with Weintraub, S. H.) Cohomology of the Siegel modular group of degree two and level four, Mem. Amer. Math. Soc., 133 (1998), no. 631, 61-75..pdf

  9. (with S. H. Weintraub) Four dimensional symplectic geometry over the field with three elements and moduli spaces of abelian surfaces, Note di Matematica, 20, (2000/2001), 111-157. pdf

  10. Proceedings of the Conference on Quadratic Forms and Related Topics. Held at Louisiana State University, Baton Rouge, LA, March 26--30, 2001. Edited by J. W. Hoffman, J. Hurrelbrink, J. Morales, R. Perlis and P. van Wamelen. Doc. Math. 2001, Extra Vol. Documenta Mathematica, Bielefeld, 2001. pp. i--iv and 1--251

  11. (with S. H. Weintraub) The Siegel modular variety of degree two and level three, Transactions of the A. M. S. 353 (2001) 3267-3305.pdf

  12. (with J. Madden and Hong Zhang) Pseudozeros of multivariate polynomials, Mathematics of Computation 72 (2003), no. 242, 975--1002 pdf

  13. Remarks on the zeta function of a graph, in Dynamical Systems and Differential Equations, a supplement volume of Discrete and Continuous Dynamical Systems, Wei Feng, Shouchuan Hu and Xin Lu (eds.), (2003), 413-422.pdf

  14. (with S. H. Weintraub) Cohomology of the boundary of Siegel modular varieties of degree two, with applications, Fundamenta Mathematicae, 178 (2003), 1-47.pdf

  15. (with Wang, H.- H.) Castelnuovo-Mumford regularity in biprojective spaces, 17 pages, to appear, Advances in Geometry. preprint

  16. (with Wang, H.- H.) Curvilinear base points, local complete intersection and Kozsul syzygies in biprojective spaces, 12 pages, preprint

  17. (with Adkins, W. and Wang, H.- H.) Equations of parametric surfaces with base points via syzygies, 22 pages, preprint