Papers by Eriko Hironaka

Preprints:
  • Cyclotomic factors of Coxeter polynomials (joint with Benedict H. Gross, and Curtis T. McMullen) (2007) ( (to appear in J. Number Theory) )

    • Publications:
  • Hyperbolic perturbations of algebraic links and small Mahler measure, Proceedings of 3rd Franco-Japonnaise Symposium on Singularities (2005) ( PDF ) ( Abs )
  • A family of pseudo-Anosov braids with small dilatation (joint with Eiko Kin), Alg. and Geom. Top., 6 (2006) 699--738 ( PDF ) ( Abs )
  • Salem-Boyd sequences and Hopf plumbing, Osaka J. Math. 43 (2006), no. 3, 497--516 ( PDF ) ( PS ) ( Abs )
  • Special classes of algebraic integers in low-dimensional topology, Proceedings of RIMS conference on Number Theory and Geometry (2005) ( PDF ) ( PS ) ( Abs )
  • Chord diagrams and Coxeter links, J London Math Soc. (2) 69 (2004), no. 1 243-257 ( PS ) (PDF)
  • Lehmer's problem, McKay's correspondence, and 2,3,7, Contemp. Math. Proc. Vol. 327, p. 123 - 138, 2003 ( PS ) (PDF)
  • The Lehmer polynomial and pretzel knots, Can. Math. Soc. Bulletin, Vol. 44(4), 2001, p. 440 - 451 (with corrections) (PS ) (PDF)
  • The arithmetic and geometry of Salem numbers (joint with Eknath Ghate) Bull. Amer. Math. Soc. (N.S.) Vol. 38, 2001, no. 3, p. 293 - 314 ( PS ) (PDF)
  • Boundary manifolds of line arrangements. Math. Ann. vol. 319, 2001, p. 17 - 32 ( PS )
  • Plumbing graphs for normal surface-curve pairs Advanced Studies in Pure Mathematics, Arrangements - Tokyo 1998 ( PS ) (PDF)
  • Alexander stratifications of character varieties. Ann. de l'Inst. Four., Vol. 47, No. 2, 1997, p. 555 - 583. (PS )
  • Torsion points on an algebraic subset of an affine torus. Inter. Math. Res. Not., No. 19, 1996, p. 953 - 982. ( PS )
  • Multi-polynomial invariants for plane algebraic curves. Proceedings: Conference on algebraic geometry and singularities. Beijing 1994 ( PS )
  • Abelian coverings of the complex projective plane branched along configurations of real lines. Memoirs of Amer. Math. Soc., Vol. 105, No. 502, 1993. (PDF) ( abstract )
  • Intersection theory on branched covering surfaces and polynomial periodicity. Inter. Math. Res. Notices., No. 6, 1993, p. 185 - 196. ( PS )
  • Polynomial periodicity for Betti numbers of coverings surfaces. Invent. Math. 108, 1992, p. 289-321. ( PS )