2014 12 2012 8 IUTeich 2013 12 1 (1) 2014 IUTeich 2 2014 02 20 2 2 2014 05 24 2 2 IUTeich [Pano] 2 10 20 5 40 50 2005 7 2011 3 2 3 1 3 4 2 IUTeich IUTeich (2) 2012 10 IUTeich 2014 3 1 4 5 IUTeich IUTeich 2014 2013 30 2013 IUTeich
2 2014 12 4 3 200 300 1 2014 09 16 19 4 1 5 IUTeich [AbsTopIII] IUTeich 10 2015 03 09 20 10 1 7 RIMS RIMS (3) Mohamed Saïdi 2014 06 25 09 24 [IUTchI], [IUTchII], [IUTchIII] 3 2013 70 1 2 3 9 2013 2013 2013 Saïdi IUTeich IUTeich [IUTchI], [IUTchII]
2014 12 3 [SemiAnbd], 1, 2, 3, 5, 6; [FrdI]; [FrdII], 1, 2, 3; [EtTh] ; [AbsTopI], 1, 4; [AbsTopII], 3; [AbsTopIII], 1, 2 [IUTchIII], [IUTchIV] [AbsTopIII], 3, 4, 5; [GenEll] (4) 2014 IUTeich 2 1 3 2013 [SemiAnbd], [AbsTopI], [AbsTopII], [AbsTopIII] [AbsTopIII] mono-anabelian geometry 2015 3 IUTeich [HASurI], [HASurII], [FrdI], [FrdII], [EtTh], [GenEll] 2014 1 3 2014 4 4 4 [IUTchIV] IUTeich 1 3 [IUTchI], [IUTchII], [IUTchIII] 5 2013 5 11 140 5 100 10 15 2014 2 1 IUTeich 40
4 2014 12 Saïdi Kummer IUTeich IUTeich (5) Chung Pang Mok 2014 10 11 IUTeich Mok 10 2015 3 Mok (6) (2), (3), (4) 3 3 IUTeich 3 Saïdi 40 30 30 10 2004 Hartshorne 10 IUTeich 10 IUTeich 20 3 10 Saïdi p p Saïdi (3), (4)
2014 12 5 1 3 [IUTchI], [IUTchII], [IUTchIII] 4 [IUTchIV] ABC Hodge-Arakelov 1 3 4 3 2013 12 (2), (3), (4) 3 3 2014 3 2013 IUTeich IUTeich Saïdi 3 3 5 3 IUTeich 20 3 3 canonicality ABC
6 2014 12 IUTeich 20 30 2010 10 2012 8 10 2010 (7) (6) (2) IUTeich Hodge-Arakelov IUTeich (3), (4)
2014 12 7 Saïdi 2013 5 11 IUTeich IUTeich 2012 8 IUTeich IUTeich (2), (3), (4), (6) 3 IUTeich 3 (H1) IUTeich 1500 2500 (H2) IUTeich (H3) IUTeich
8 2014 12 (H4) Wiles 1995 IUTeich Wiles (H3) (H5) 20 30 (H1) (H5) (H1) (H2) (H3) (H4) (H4) (H5) (T1) Weil 1960 EGA SGA (T2) [Q p GC] 8 (4) (6) (T3)
2014 12 9 (T4) IUTeich IUTeich Faltings 1983 Faltings IUTeich [EtTh] (T5) IUTeich IUTeich IUTeich IUTeich IUTeich IUTeich IUTeich
10 2014 12 (8) (6), (7) IUTeich IUTeich IUTeich 2015 3 2015 3 300 400 10 20 1 Saïdi 3 10 IUTeich 2012 9 IUTeich Saïdi 2013 7 IUTeich 2013 Saïdi
2014 12 11 Saïdi [FrdI] IUTeich IUTeich [pgc] p p 3 (9) 3 Saïdi [Q p GC] S. Mochizuki, A Version of the Grothendieck Conjecture for p-adic Local Fields, The International Journal of Math. 8 (1997), pp. 499-506. [pgc] S. Mochizuki, The Local Pro-p Anabelian Geometry of Curves, Invent. Math. 138 (1999), pp. 319-423. [HASurI] S. Mochizuki, A Survey of the Hodge-Arakelov Theory of Elliptic Curves I, Arithmetic Fundamental Groups and Noncommutative Algebra, Proceedings of Symposia in Pure Mathematics 70, American Mathematical Society (2002), pp. 533-569. [HASurII] S. Mochizuki, A Survey of the Hodge-Arakelov Theory of Elliptic Curves II, Algebraic Geometry 2000, Azumino, Adv. Stud. Pure Math. 36, Math. Soc. Japan (2002), pp. 81-114.
12 2014 12 [SemiAnbd] S. Mochizuki, Semi-graphs of Anabelioids, Publ. Res. Inst. Math. Sci. 42 (2006), pp. 221-322. [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. [IUTchI] S. Mochizuki, Inter-universal Teichmüller Theory I: Construction of Hodge Theaters, RIMS Preprint 1756 (August 2012). [IUTchII] S. Mochizuki, Inter-universal Teichmüller Theory II: Hodge-Arakelov-theoretic Evaluation, RIMS Preprint 1757 (August 2012). [IUTchIII] S. Mochizuki, Inter-universal Teichmüller Theory III: Canonical Splittings of the Log-theta-lattice, RIMS Preprint 1758 (August 2012). [IUTchIV] S. Mochizuki, Inter-universal Teichmüller Theory IV: Log-volume Computations and Set-theoretic Foundations, RIMS Preprint 1759 (August 2012). [Pano] S. Mochizuki, A Panoramic Overview of Inter-universal Teichmüller Theory, Algebraic number theory and related topics 2012, RIMS Kōkyūroku Bessatsu B51, Res. Inst. Math. Sci. (RIMS), Kyoto (2014), pp. 301-345.