Papers by Eriko Hironaka

• Math Society of Japan: Topology Lecture PDF


• Workshop on Branched Coverings, Degenerations, and Related Topics -- Hiroshima University, 2012:
  Talk Title: Fibered Faces and Dynamics of Mapping Classes,
  Lecture I (PDF),
  Lecture II (PDF),
  Lecture III (PDF).

• RIMS Intelligence of Low Dimensional Topology : Abstract (10 pages) (PDF)

• MSJ special lecture in Topology : Abstract (10 pages) (PDF)

• Penner sequences and asymptotics of minimum dilatations for subfamilies of the mapping class group. (February, 2012) (PDF)

• Mapping classes associated to mixed-sign Coxeter graphs (May, 2012) (PDF)

• Generalized lantern relations and planar line arrangements (January, 2012) To appear in Computational Algebraic and Analytic Geometry of Low-dimensional Varieties, Contemp. Math. (PDF)

• Small dilatation pseudo-Anosov mapping classes coming from the simplest hyperbolic braid. Alg. and Geom. Top., vol 10, 2010, p. 2041--2060 (PDF)

• Cyclotomic factors of Coxeter polynomials (joint with Benedict H. Gross, and Curtis T. McMullen) J. Number Theory, vol. 129, 2009, p. 1034--1043 ( PDF )


• What is Lehmer's number?, in Notices of the A.M.S., vol. 56 (3), 2009, p. 374--375 (PDF)


• On hyperbolic deformations of algebraic links and small Mahler measure in Singularities in Geometry and Topology, p. 77--94, Adv. Stud. Pure Math., vol. 46, Math. Soc. Japan, Tokyo, 2007 ( PDF ) ( Abs )


• A family of pseudo-Anosov braids with small dilatation (joint with Eiko Kin), Alg. and Geom. Top., vol. 6, 2006, 699--738 ( PDF ) ( Abs )


• Salem-Boyd sequences and Hopf plumbing, Osaka J. Math. vol. 43 (3), 2006, 497--516 ( PDF ) ( PS ) ( Abs )


• Chord diagrams and Coxeter links, J. London Math. Soc. vol. 69 (2), 2004, p. 243--257 ( PS ) (PDF)


• Lehmer's problem, McKay's correspondence, and 2,3,7, Contemp. Math. Proc. vol. 327, 2003, p. 123 -- 138 ( 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 (3), 2001, p. 293 -- 314 ( PS ) (PDF)


• Boundary manifolds of line arrangements. Math. Ann. vol. 319, 2001, p. 17 -- 32 ( PS ) (PDF)


• 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 (2), 1997, p. 555 -- 583. (PS )


• Torsion points on an algebraic subset of an affine torus. Inter. Math. Res. Not., (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 (502), 1993. (PDF) ( abstract )


• Intersection theory on branched covering surfaces and polynomial periodicity. Inter. Math. Res. Notices., (6), 1993, p. 185 -- 196. ( PS )


• Polynomial periodicity for Betti numbers of coverings surfaces. Invent. Math. vol. 108, 1992, p. 289 -- 321. ( PS )