Papers by Eriko Hironaka
Slides:
- 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).
Abstracts:
- RIMS Intelligence of Low Dimensional Topology : Abstract (10 pages)
(PDF)
- MSJ special lecture in Topology : Abstract (10 pages)
(PDF)
Preprints:
-
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)
Publications:
- 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 )