Inter-universal Teichmuller Theory I
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・Added a supplementary explanatory phrase to the discussion concerning [AbsTopI], Lemma 4.5, at the beginning of
Definition 4.1, (ii)
・Added a supplementary explanation concerning the phrase "forgetting the labels" to Propositions 4.9, (ii); 6.8, (ii)
・In Example 5.1, (ii), replaced 3 instances of the notation "\Phi^\circledcirc" by the notation "\Phi^\circledast"
(i.e., so as to conform to the recently modified notational conventions in Example 5.1)
・Slightly modified the phrasing in the discussion immediately preceding the final display of Example 5.1, (vii)
・Slightly modified the phrasing in the discussion immediately preceding the display of Example 6.2, (iii)
・Added a supplementary explanatory sentence to the discussion at the beginning of Definition 6.4
・Slightly modified the explanation of "j" following the first display of Proposition 6.9, (iii)
・Added a supplementary explanatory phrase concerning the "pre-condition" mentioned in Remark 6.12.4, (iii)
・Slightly modified Fig. 6.5, added Fig. 6.6, and modified the correspondence reference in Definition 6.13
Inter-universal Teichmuller Theory II
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・Added a supplementary explanatory phrase concerning underlying \Theta-Hodge theaters to the discussion of "glued"
Hodge theaters in the Abstract
・Slightly modified the reference to [IUTchI] at the end of the first paragraph of the Introduction
・Added a supplementary explanatory phrase to the first occurrence of the term "spoke" in the Introduction
・Corrected misprints in the notation stipulating the type of Hodge theater under consideration in the discussion
immediately following the first displays of Theorem A, (v); Remark 1.12.2, (iii); Corollary 4.10, (vi), as well
as in the first paragraph of \S 1
・Added a missing condition ("p\not= l") to the first sentence of the second paragraph of \S 1
・Added a supplementary explanation to the discussion of a certain action via the cyclotomic character in Remark 1.1.1, (iv)
・Corrected three misprints ("between between" ---> "between", "allows one construct" ---> "allows one to construct",
"curvative" ---> "curvature") in Remark 1.1.1, (v)
・Slightly modified the wording of Proposition 1.3, (ii) ("isomorphism" ---> "natural isomorphism", 2 instances)
・Corrected a slight error in the definition ("belongs to" ---> "coincides, up to torsion, with an element of") of the
notation following the final display of Proposition 1.4; 1.5, (iii)
・In Remark 1.5.2, replaced the "Galois" in the term "Galois-equivariant" with more precise notation
・Corrected a misprint ("G" ---> "\Pi/\Delta", 2 instances) in Remark 1.6.1
・Slightly modified the explanation immediately preceding the second display of Example 1.8, (iv)
・Corrected a misprint in Example 1.8, (ix) ("equipped its" ---> "equipped with its")
・Modified slightly misleading terminology in Corollary 1.11, (b) ("cyclotomic rigidity isomorphism" ---> "natural
isomorphism")
・Slightly modified the wording of the final sentence of Remark 1.12.2, (ii)
・Corrected a misprint in Remark 1.12.5, (i) ("ample line" ---> "ample line bundle")
・In Remark 1.12.5, (ii), added a supplementary explanation concerning the notation used in Fig. 1.7
・Added a supplementary explanatory phrase concerning the notation in the discussion following the display of Remark 2.1.1, (i)
・Corrected a misprint in the notation of the discussion immediately following the second display of Definition 2.7, (ii)
・Added a supplementary explanation of the notation "??" in Corollaries 2.8, (iii); 2.9, (iii)
Inter-universal Teichmuller Theory IV
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・Corrected 5 instances of a misprint ("possibilites" ---> "possibilities")
・Slightly modified (i.e., strengthened!) the statement of Corollary 2.2, (ii), (iii), by adding bounds involving
positive real numbers H_{unif}, H_K, and \epsilon_d; slightly modified the portion of the proof of Corollary 2.2,
(ii), that concerns "enlargements" of the exceptional set Exc_d; added a comment (i.e., Remark 2.2.3) concerning
this slightly strengthened version
・Slightly modified the wording of the first sentence of Remark 2.3.2, (i)