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Hodge: source and evidence

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1 \documentclass[11pt,oneside,openany]{book}
2 \newcommand{\ShortTitle}{HODGE / CYCLES AND CONSTRUCTORS}
3 \input{../shared/preamble.tex}
4 \usepackage[most]{tcolorbox}
5 \usepackage{float}
6 \usepackage{listings}
7 \usepackage{calc}
8 \usepackage{needspace}
9 \providecommand{\tightlist}{\setlength{\itemsep}{0pt}\setlength{\parskip}{0pt}}
10 \titleformat{\chapter}[display]{\Huge\bfseries\color{Ink}\raggedright\hyphenpenalty=10000\exhyphenpenalty=10000}{\sffamily\small\color{Teal}CHAPTER \thechapter}{8pt}{}
11 \titlespacing*{\chapter}{0pt}{0pt}{20pt}
12 \counterwithout{theorem}{section}
13 \counterwithin{theorem}{chapter}
14 \counterwithout{equation}{section}
15 \numberwithin{equation}{chapter}
16 \newtheorem{manuscriptclaim}[theorem]{Manuscript claim}
17 \newtheorem{construction}[theorem]{Construction}
18 \newtheorem{problem}[theorem]{Problem}
19 \newcommand{\Hdg}{\operatorname{Hdg}}
20 \newcommand{\Alg}{\operatorname{Alg}}
21 \newcommand{\cl}{\operatorname{cl}}
22 \newcommand{\CH}{\operatorname{CH}}
23 \newcommand{\im}{\operatorname{im}}
24 \newcommand{\rank}{\operatorname{rank}}
25 \newcommand{\Hom}{\operatorname{Hom}}
26 \newcommand{\End}{\operatorname{End}}
27 \newcommand{\Tr}{\operatorname{Tr}}
28 \newcommand{\Span}{\operatorname{span}}
29 \newcommand{\id}{\mathrm{id}}
30 \newtcolorbox{claimboundary}{colback=Soft,colframe=Copper,title=Claim boundary,fonttitle=\bfseries,breakable,boxrule=0.7pt,arc=1mm}
31 \newtcolorbox{resultbox}[1][]{colback=Soft,colframe=Teal,title={#1},fonttitle=\bfseries,breakable,boxrule=0.7pt,arc=1mm}
32 \newtcolorbox{openproblem}[1][]{colback=white,colframe=Copper,title={#1},fonttitle=\bfseries,breakable,boxrule=0.7pt,arc=1mm}
33 \newcommand{\compactpart}[1]{\clearpage\noindent{\sffamily\large\bfseries\color{Teal}#1}\par\medskip\addcontentsline{toc}{part}{#1}}
34 \graphicspath{{historical_assets/figures/}{../shared/figures/}}
35 \renewcommand{\arraystretch}{1.13}
36 \makeatletter
37 \renewcommand{\l@section}{\@dottedtocline{1}{1.5em}{3.6em}}
38 \makeatother
39 \hypersetup{pdftitle={Hodge Conjecture: Cycles, Packets and Explicit Constructors},pdfsubject={Conjecture Series 06, audited research reader}}
40 \begin{document}
41 \frontmatter
42 \Cover{06}{Hodge\\Conjecture}{Cycles, packets and explicit constructors}{A substantial mathematical reader on the rational Hodge problem, Fermat character geometry, constructive successes, certified obstructions, and the exact gaps that remain.}
43 \input{opening.tex}
44 {\small\tableofcontents}
45 \mainmatter
46 \input{august_development.tex}
47 \compactpart{Part X. Geometric carriers and signed transfers}
48 \input{carrier70.tex}
49 \input{transfer210.tex}
50 \compactpart{Part XI. Global method obstructions and actual cycles}
51 \input{capacity_cycles.tex}
52 \compactpart{Part XII. Weil classes and the failed counterexample route}
53 \input{weil_audit.tex}
54 \compactpart{Part XIII. Reproduction, corrections and remaining obligations}
55 \input{edition_audit.tex}
56 \appendix
57 \input{appendices.tex}
58 \backmatter
59 \input{bibliography.tex}
60 \end{document}

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