[1] G. V., Belyi, On Galois extensions of a maximal cyclotomic field, Izv. Akad. Nauk. SSSR 8 (1979), 267–276 (in Russian); English transl. in Math. USSR Izv. 14 (1980), 247-256.Google Scholar

[2] A., Grothendieck, Esquisse d'un Programme,mimeographed note 1984 (published later in [41]: Part 1, 5-48).

[3] Y., Ihara, Profinite braid groups, Galois representations, and complex multiplications, Ann. of Math. 123 (1986), 43–106.Google Scholar

[4] Y., Ihara, Some problems on three-point ramifications and associated large Galois representations, in “Galois representations and arithmetic algebraic geometry”, Adv. Stud. Pure Math., 12, 173–188.

[5] S., Lang, Fundamentals of Diophantine Geometry, Springer, 1983.Google Scholar

[6] H., Nakamura, Rigidity of the arithmetic fundamental group of P1 - {0, 1, lgr;}, Preprint 1988 (UTYO-MATH 88-21); appeared under the title: Rigidity of the arithmetic fundamental group of a punctured projective line, J. Reine Angew. Math. 405 (1990), 117-130.

[7] H., Nakamura, Galois rigidity of the etale fundamental groups of punctured projective lines, Preprint 1989 (UTYO-MATH 89-2), appeared in final form from J. Reine Angew. Math. 411 (1990), 205-216.

[8] J., Neukirch, Über die absoluten Galoisgruppen algebraischer Zahlkölper, Asterisque, 41/42 (1977), 67-79.

[9] G., Anderson, Y., Ihara, Pro-l branched coverings of P1 and higher circular l-units, Part 1 : Ann. of Math. 128 (1988), 271–293; Part 2: Intern. J. Math. 1 (1990), 119-148.Google Scholar

[10] M., Asada, The faithfulness of the monodromy representations associated with certain families of algebraic curves, J. Pure and Applied Algebra, 159, 123–147.

[11] F. A., Bogomolov, On two conjectures in birational algebraic geometry, in “Algebraic Geometry and Analytic Geometry” (A., Fujiki et al. eds.) (1991), 26–52, Springer Tokyo.Google Scholar

[12] P., Deligne, letter to Y. Ihara, December 11, 1984.

[13] P., Deligne, Le groupe fondamental de la droite projective moins trois points, in “Galois group over ℚ” (Y., Ihara, K., Ribet, J.-P., Serre eds.), MSRI Publ. Vol. 16 (1989), 79–297.Google Scholar

[14] V. G., Drinfeld, On quasitriangular quasi-Hopf algebras and a group closely connected with Gal(Q/Q), Algebra i Analiz 2 (1990), 149–181 (in Russian); English transl. in Leningrad Math. J. 2(4) (1991) 829-860.

[15] H., Esnault, P. H., Hai, Packets in Grothendieck's section conjecture, Adv. in Math., 218 (2008), 395–416.

[16] G., Faltings, Endlichkeitssätze für abelsche Varietäten über Zahlkörpern, Invent. Math. 73 (1983), 349–366.Google Scholar

[17] M., Fried, Fields of definition of function fields and Hurwitz families — Groups as Galois groups, Comm. in Algebra, 5 (1977), 17–82.Google Scholar

[18] A., Grothendieck, Revêtement Etales et Groupe Fondamental (SGA1), Lecture Note in Math. 224 Springer, Berlin Heidelberg New York, 1971.Google Scholar

[19] A., Grothendieck, Letter to G. Faltings, June 1983, in [41]: Part 1, 49–58.

[20] R. M., Hain, The geometry of the mixed Hodge structures on the fundamental group, Proc. Symp. Pure Math. 46 (1987), 247–282.Google Scholar

[21] D., Harari, T., Szamuely, Galois sections for abelianized fundamental groups, Math. Ann., 344 (2009), 779–800.Google Scholar

[22] Y., Hoshi, S., Mochizuki, On the combinatorial anabelian geometry of nodally nondegenerate outer representations, Preprint RIMS-1677, August 2009.Google Scholar

[23] Y., Ihara, Braids, Galois groups and some arithmetic functions, Proc. ICM, Kyoto, 99–120, 1990.Google Scholar

[24] Y., Ihara, H., Nakamura, Some illustrative examples for anabelian geometry in high dimensions, in [41]: Part 1, 127–138.

[25] M., Kim, The motivic fundamental group of P1 \ {0, 1} and theorem of Siegel, Invent. math. 161 (2005), 629–656.Google Scholar

[26] J., Koenigsmann, On the ‘Section Conjecture’ in anabelian geometry, J. reine angew. Math., 588 (2005), 221–235.

[27] P., Lochak, L., Schneps, Open problems in Grothendieck-Teichmüller theory, Proc. Symp. Pure Math. 74 (2006), 165–186.Google Scholar

[28] M., Matsumoto, On Galois representations on profinite braid groups of curves, J. reine angew. Math. 474 (1996), 169–219.

[29] S., Mochizuki, The profinite Grothendieck conjecture for closed hyperbolic curves over number fields, J. Math. Sci. Univ. Tokyo, 3 (1996), 571–627.Google Scholar

[30] S., Mochizuki, The local pro-p anabelian geometry of curves, Invent. Math. 138 (1999), 319–423.Google Scholar

[31] H., Nakamura, On Galois rigidity of fundamental groups of algebraic curves (in Japanese), Report Collection of the 35th Algebra Symposium held at Hokkaido University on July 19-August 1, pp. 186–199.

[32] H., Nakamura, Galois rigidity of algebraic mappings into some hyperbolic varieties, Internat. J. Math. 4 (1993), 421–438.Google Scholar

[33] H., Nakamura, Galois rigidity of pure sphere braid groups and profinite calculus, J. Math. Sci. Univ.Tokyo 1 (1994), 71–136.Google Scholar

[34] H., Nakamura, On exterior Galois representations associated with open elliptic curves, J. Math. Sci., Univ. Tokyo 2 (1995), 197–231.

[35] H., Nakamura. Galois rigidity of profinite fundamental groups (in Japanese), Sugaku 47 (1995), 1–17; English transl. in Sugaku Expositions (AMS) 10 (1997), 195-215.

[36] H., Nakamura, On arithmetic monodromy representations of Eisenstein type in fundamental groups of once punctured elliptic curves, Preprint RIMS-1691, February 2010.Google Scholar

[37] H., Nakamura, H., Tsunogai, Some finiteness theorems on Galois centralizers in pro-l mapping class groups, J. Reine Angew. Math. 441 (1993), 115–144.Google Scholar

[38] H., Nakamura, A., Tamagawa, S., Mochizuki, The Grothendieck conjecture on the fundamental groups of algebraic curves, (in Japanese), Sugaku 50 (1998), 113–129; English transl. in Sugaku Expositions (AMS), 14 (2001), 31-53.Google Scholar

[39] T., Oda, The universal monodromy representations on the pro-nilpotent fundamental groups of algebraic curves, Mathematische Arbeitstagung (Neue Serie) 9-15 Juin 1993, Max-Planck-Institute preprint MPI/93-57 (1993).Google Scholar

[40] F., Pop, On the Galois theory of function fields of one variable over number fields, J. reine. angew. Math., 406 (1988), 200–218.Google Scholar

[41] L., Schneps, P., Lochak (eds.), Geometric Galois Actions; 1.Around Grothendieck's Esquisse d'un Programme, 2.The Inverse Galois Problem, Moduli Spaces and Mapping Class Groups, London Math. Soc. Lect. Note Ser.242–243, Cambridge University Press 1997.

[42] L., Schneps (ed.), Galois groups and fundamental groups, MSRI Publications, 41, 2003.

[43] J., Stix, On cuspidal sections of algebraic fundamental groups Preprint 2008 (arXiv:0802.4125).

[44] J., Stix, On the period-index problem in light of the section conjecture, Amer. J. Math., 132 (2010), 157-180.Google Scholar

[45] A., TamagawaThe Grothendieck conjecture for affine curves, Compositio Math. 109 (1997), 135–194.Google Scholar

[46] N., Takao, Braid monodormies on proper curves and pro-ℓ Galois representations, Jour Inst. Math.Jussieu, (to appear).

[47] A., Weil, Basic Number Theory, Grundlehren der math. Wiss. in Einzeldarstellungen, Band 144, Springer 1974.Google Scholar