・Updated the bibliography and added the references [Mzk4], [Mzk17], [Kobl]
・Corrected two misprints ("\Pi_X^(l)" ---> "\Pi_X", "G_{k_X}" ---> "G_k") in
the discussion immediately following the first display of Remark 2.9.4, (ii)
・Corrected a misprint in the statement of Lemma 2.6, (ii) ("morphism a" --->
"a morphism")
・Corrected a misprint ("us us" ---> "us") in the first paragraph of the
proof of Corollary 2.9
・Corrected a misprint ("allows" ---> "follows") in the second paragraph
of the proof of Proposition 2.5
・Deleted a comma in the second to last sentence of the statement of Proposition 2.5
・Corrected a misprint ("if e is also" ---> "if e' is also") towards the end of
the paragraph in the proof of Proposition 1.3 that begins "Now if,"
・Added supplementary notation to the explanation immediately following the first
display of the statement of Corollary 1.11
・Corrected a misprint at the beginning of the final paragraph of the proof of
Lemma 2.1 ("{ ... }" ---> "( ... )")
・Slightly modified the phrasing the final sentence of the first paragraph of
the proof of assertion (iv) of Proposition 1.3
・Corrected a misprint in the final sentence of the statement of Proposition 2.5, (v)
("\phi^log_2" ---> "\psi^log")
・Slightly modified the discussion of the application of Zariski's main theorem in the
proof of Proposition 2.5, (vi)
・Corrected a misprint at the beginning of the proof of assertion (ii) of Corollary 2.7
("\beta" ---> "\beta_\eta")
・Corrected a misprint at the beginning of the proof of assertion (xi) of Proposition
2.5 (deleted 2 instances of "log")
・Slightly modified the phrasing of the statement of Corollary 3.3, (iii), (a) ("whose"
---> ", and whose")
・Slightly modified the statement of Corollary 2.9 (cf. the portion concerning "${\overline X}$")
・Added Remark 2.8.3, as well as a reference to Remark 2.8.3 in the first paragraph of
the proof of Corollary 2.9
・Corrected a misstatement in the statement of Corollary 3.8 and made corresponding
adjustments to the proof of Corollary 3.8
・Corrected a misprint in Corollary 3.4 ("D" ---> "D_i")
・Corrected a misstatement in Definition 3.1, (c)
・Slightly modified the discussion following the first display of Corollary 3.3, (iii)
・Slightly modified the discussion following the second display of Corollary 3.4
・Slightly modified the wording at the beginning of the proof of Lemma 2.1, as well as
the discussion preceding the first display of the final paragraph of the proof of Lemma 2.1
and replaced the notation "[-]" by "{-}"
・Slight modified the discussion following Lemma 2.3 concerning the "j-interior"
・Corrected a slightly inaccurate expression ("whose underlying" ---> "where we observe that
the underlying") in Definition 2.4, (i)
・Slightly modified the final portion of the discussion of Remark 2.4.1
・Slightly modified the statement and proof of Proposition 2.5, (iii) (cf. the inclusion of
the term "tamely ramified")
・Slightly modified the discussion of "$U_C$" in the proof of Proposition 2.5, (v)
・Added a discussion of the fields "$k_i$" to the beginning of Proposition 2.5; made
corresponding adjustments to the statement of Proposition 2.5, (vi)
・Slightly modified the discussion of "Krasner's lemma" preceding Proposition 2.6
・Corrected some slight misprints in the proof of Proposition 2.5, (vii)
・Corrected slight misprints in Proposition 2.5, (viii), related to the term "base-semi-stable"
・Added supplementary explanations concerning "finiteness" and the "loop-rank" to the discussion
at the beginning of the proof of Proposition 2.5, (xii)
・Added a supplementary explanation concerning "normal terminality" to Proposition 2.6, (v)
・Replaced "[unique]" by "[unique, by (vi)]" in the statement of Proposition 2.5, (x), and added
a supplementary phrase ("... translation ... ") to the proof of Proposition 2.5, (x)
・Replace "orbicurve" by "curve" in the discussion at the beginning of \S 2
・Corrected slight misprints in the definition of "loop-ample", "sturdy" in \S 0
・Slightly modified the final portion of the argument concerning the evaluation map in \S 0
・Slightly modified the discussion of the construction of a log admissible covering in \S 0
・Corrected a slight inaccuracy in Remark 1.2.1
・Slightly modified the exposition of the first two paragraphs of the proof of Proposition
1.3, (iv)
・Deleted the references to "untangledness" in the fifth paragraph of the proof of
Proposition 1.3, (iv), as well asin the fourth paragraph of the proof of Proposition 1.3, (viii)
・"Itemized" the various conditions in the fifth paragraph of the proof of Proposition 1.3, (v),
as well as in the fourth paragraph of the proof of Proposition 1.3, (viii), and slightly
modified the wording of these conditions, as well as the discussion immediately following
these conditions
・Slightly modified the exposition at the beginning of the first paragraph of the proof of
Proposition 1.3, (viii)
・Slightly modified the wording of Remark 1.5.2
・Slightly modified the wording of Remark 1.5.4, (ii) (i.e., deleted the phrase "orbits of"),
as well as the discussion immediately following Remark 1.5.4, (ii) (i.e., "whether or not")
・Slightly modified the wording of the proof of Proposition 1.6, (ii), (iii), (iv) (i.e., added
the phrase "the argument applied in"), as well as the argument of Proposition 1.6, (v)
・Slightly modified the statement (cf. the portion concerning "n") and proof (cf. the reference
to [Mzk2], Corollary 7.4) of Theorem 1.8
・Inserted an "i.e.," in Definition 1.9, (i); slightly modified the definition of "strict" in
Definition 1.9, (iii), as well as the wording of the final portion of Definition 1.9, (iv)
・Corrected a misprint in the reference to [MT], Proposition 2.2, and simplified the argument
in the final portion of the proof of Corollary 1.10
・Slightly modified the exposition of the proof of Corollary 1.11, (iii) (cf. the reference to
[Mzk10], Proposition 3.3) and corrected some minor misprints
・Slightly modified the explanation at the beginning of the proofs of Proposition 2.5, (vi)
("simple structure of the monoid"), (xii) ("finite separable extension")
・Corrected minor misprints in the proof of Proposition 2.5, (ix)
・"Itemized" the various conditions of Proposition 2.5, (xi), (xii); Lemma 2.6, (ii), (iv)
・Slightly modified the discussion of liftings of paths in the second to last paragraph
of the proof of Proposition 2.5, (xii)
・Slightly modified the discussion of "subfields" immediately preceding Lemma 2.6
・Added supplementary explanations to the proofs of Lemma 2.6, (i) (concerning "Neron models"),
(ii) (concerning "degree one field extensions"; concerning Proposition 2.5, (i), (ii), (iii),
(iv), (v), (vi); concerning Proposition 2.5, (viii))
・Slightly modified the exposition at the beginning of the proof of Lemma 2.6, (ii)
・Slightly modified the wording of the final portion of the property (3) in the proof of Lemma
2.6, (ii)
・Corrected a misprint ("special fiber of") in the final portion of the proof of Lemma 2.6, (ii)
・Added a missing assumption to the statement of Corollary 2.7, (iii)
・Corrected a misprint ("2.5, (vi)") at the beginning of the proof of Corollary 2.7, (i)
・Slightly modified the explanation in the final portions of the proof of Corollary 2.7, (ii), (iii)
・Slightly modified the reference to [BLR] in the proof of Corollary 2.7, (iii)
・Added a supplementary reference to Proposition 2.5, (i), (ii), to and corrected a misprint in
the final portion of the second paragraph of the proof of Corollary 2.9
・Slightly modified the exposition of the final portion of the third paragraph of the proof of
Corollary 2.9
・Slightly modified the second and third sentences in the fourth paragraph of the proof of
Corollary 2.9
・Slightly modified the wording ("Here, we observe that..."; ", i.e.,") in the second to last
paragraph of the proof of Corollary 2.9
・Corrected misprints ("J_i". "the image of") in the final paragraph of the proof of Corollary 2.9
・Slightly modified the statement and first paragraph of the proof of Corollary 2.11 ("complete",
"sturdy", "split", "possibly")
・Slightly modified the wording of the final portion of the first paragraph of the proof of
Corollary 2.10
・Slightly modified the wording of the final portion of Example 3.2, (ii); 3.6, (ii) ("identity
morphism")
・Added a missing assumption (concerning "cyclotomic characters") to Corollaries 3.3, 3.4, 3.7, 3.8
・Slightly modified the phrasing of Corollary 3.3, (ii)
・Added an explanatory phrase ("perhaps with multiplicities") to Corollary 3.3, 3.4
・Added a missing assumption (concerning the slimness of Galois groups) to the discussion of
Examples 3.2, (i); 3.6, (i)