Inter-universal Teichmuller Theory I: Construction of Hodge Theaters

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156 SHINICHI MOCHIZUKI [AbsAnab] S. Mochizuki, The Absolute Anabelian Geometry of Hyperbolic Curves, Galois Theory and Modular Forms, Kluwer Academic Publishers (2004), pp. 77-122. [CanLift] S. Mochizuki, The Absolute Anabelian Geometry of Canonical Curves, Kazuya Kato’s fiftieth birthday, Doc. Math. 2003, Extra Vol., pp. 609-640. [SemiAnbd] S. Mochizuki, Semi-graphs of Anabelioids, Publ. Res. Inst. Math. Sci. 42 (2006), pp. 221-322. [CombGC] S. Mochizuki, A combinatorial version of the Grothendieck conjecture, Tohoku Math. J. 59 (2007), pp. 455-479. [Cusp] S. Mochizuki, Absolute anabelian cuspidalizations of proper hyperbolic curves, J. Math. Kyoto Univ. 47 (2007), pp. 451-539. [FrdI] S. Mochizuki, The Geometry of Frobenioids I: The General Theory, Kyushu J. Math. 62 (2008), pp. 293-400. [FrdII] S. Mochizuki, The Geometry of Frobenioids II: Poly-Frobenioids, Kyushu J. Math. 62 (2008), pp. 401-460. [EtTh] S. Mochizuki, The Étale Theta Function and its Frobenioid-theoretic Manifestations, Publ. Res. Inst. Math. Sci. 45 (2009), pp. 227-349. [AbsTopI] S. Mochizuki, Topics in Absolute Anabelian Geometry I: Generalities, J. Math. Sci. Univ. Tokyo 19 (2012), pp. 139-242. [AbsTopII] S. Mochizuki, Topics in Absolute Anabelian Geometry II: Decomposition Groups and Endomorphisms, J. Math. Sci. Univ. Tokyo 20 (2013), pp. 171-269. [AbsTopIII] S. Mochizuki, Topics in Absolute Anabelian Geometry III: Global Reconstruction Algorithms, RIMS Preprint 1626 (March 2008). [GenEll] S. Mochizuki, Arithmetic Elliptic Curves in General Position, Math.J.Okayama Univ. 52 (2010), pp. 1-28. [CombCusp] S. Mochizuki, On the Combinatorial Cuspidalization of Hyperbolic Curves, Osaka J. Math. 47 (2010), pp. 651-715. [IUTchII] S. Mochizuki, Inter-universal Teichmüller Theory II: Hodge-Arakelov-theoretic Evaluation, preprint. [IUTchIII] S. Mochizuki, Inter-universal Teichmüller Theory III: Canonical Splittings of the Log-theta-lattice, preprint. [IUTchIV] S. Mochizuki, Inter-universal Teichmüller Theory IV: Log-volume Computations and Set-theoretic Foundations, preprint. [MNT] S. Mochizuki, H. Nakamura, A. Tamagawa, The Grothendieck conjecture on the fundamental groups of algebraic curves, Sugaku Expositions 14 (2001), pp. 31-53. [Config] S. Mochizuki, A. Tamagawa, The algebraic and anabelian geometry of configuration spaces, Hokkaido Math. J. 37 (2008), pp. 75-131. [NSW] J. Neukirch, A. Schmidt, K. Wingberg, Cohomology of number fields, Grundlehren der Mathematischen Wissenschaften 323, Springer-Verlag (2000).
INTER-UNIVERSAL TEICHMÜLLER THEORY I 157 [RZ] Ribes and Zaleskii, Profinite Groups, Ergebnisse der Mathematik und ihrer Grenzgebiete 3, Springer-Verlag (2000). [Stb1] P. F. Stebe, A residual property of certain groups, Proc. Amer. Math. Soc. 26 (1970), pp. 37-42. [Stb2] P. F. Stebe, Conjugacy separability of certain Fuchsian groups, Trans. Amer. Math. Soc. 163 (1972), pp. 173-188. [Stl] J. Stillwell, Classical topology and combinatorial group theory. Second edition, Graduate Texts in Mathematics 72, Springer-Verlag (1993). [Tama1] A. Tamagawa, The Grothendieck Conjecture for Affine Curves, Compositio Math. 109 (1997), pp. 135-194. [Tama2] A. Tamagawa, Resolution of nonsingularities of families of curves, Publ. Res. Inst. Math. Sci. 40 (2004), pp. 1291-1336. [Wiles] A. Wiles, Modular elliptic curves and Fermat’s last theorem, Ann. of Math. 141 (1995), pp. 443-551.
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INTER-UNIVERSAL TEICHMÜLLER THEORY
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associated to † F ⊩ mod and ‡
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completely determined by † D. INT
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conjugation by which maps φ NF IN
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Inter-universal Teichmuller Theory I: Construction of Hodge Theaters

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