Inter-universal Teichmuller Theory I
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・Slightly modified the definition of "initial \Theta-data" [i.e.,
by adding "V_{mod}^{bad}"] --- cf. Definition 3.1, (b), (c); made
corresponding adjustments throughout the paper [cf., especially,
the Introduction; Remark 4.2.1; Fig. 4.1; Definition 6.1, (v); Remark
6.12.6, (iv)]
・Updated the bibliography
Inter-universal Teichmuller Theory II
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・Made adjustments throughout the paper to take into account the
slight modifications in [IUTchI], Definition 3.1
・Updated the bibliography
Inter-universal Teichmuller Theory III
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・Added Remark 3.9.5 concerning the "holomorphic hull".
・Slightly modified the statement of Corollary 3.12, Theorem B, as well
as the discussion of log-volumes of the \Theta-pilot object in the
Introduction [cf. the insertion of the phrase "holomorphic hull"].
・Slightly modified the Step (xi) of the proof of Corollary 3.12 [cf.
the discussion of "holomorphic hulls"].
・Made adjustments throughout the paper to take into account the
slight modifications in [IUTchI], Definition 3.1
Inter-universal Teichmuller Theory IV
-------------------------------------
・Made adjustments throughout the paper to take into account the
slight modifications in [IUTchI], Definition 3.1 [cf., especially,
Remark 1.10.2]
・Modified the Acknowledgements
・Modified the paragraph preceding Proposition 1.1
・Modified the statement and proof of Proposition 1.2, (i), (ii)
・Made a slight modification to the final portion of the proof of
Proposition 1.2, (iii), (iv)
・Made a slight modification to the statement of Proposition 1.4,
(i)
・Modified the statement and proof of Proposition 1.4, (iii)
・Modified the statement of Proposition 1.6
・Corrected misprints in the proofs of Proposition 1.8, (i) (i.e.,
"17.5, (i)", "17.5, (ii)" should read "17.5, (a)", "17.5, (b)"),
(iv) (i.e., "trivial" should read "injective")
・Modified the statement and proof of Theorem 1.10
・Added Remarks 1.10.5, 1.10.6
・Modified the statement and proof of Proposition 2.1
・Corrected a misprint in the discussion immediately preceding
Corollary 2.2 (i.e., "1.4, (iii)];" should read "1.4, (iii)].")
・Modified the statement and proof of Corollary 2.2
・Made a slight modification to the final portion of the proof of
Corollary 2.3
・Added Remark 2.3.1, (v)
・Modified Remark 2.3.2
・Modified the two paragraphs preceding Definition 3.1
・Made slight modifications to the discussion of foundational issues
in the Abstract, the Introduction, and the first paragraph of \S 3
・Modified the discussion of Remark 3.1.2, (ii)