ega2.tex

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\title{Elementary global study of some classes of morphisms (EGA II)}
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\label{section:ega2}

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\section*{Summary}

\begin{longtable}{ll}
  \textsection\hyperref[section:II.1]{1}. & Affine morphisms.\\
  \textsection\hyperref[section:II.2]{2}. & Homogeneous prime spectra.\\
  \textsection\hyperref[section:II.3]{3}. & Homogeneous prime spectrum of a sheaf of graded algebras.\\
  \textsection\hyperref[section:II.4]{4}. & Projective bundles; ample sheaves.\\
  \textsection\hyperref[section:II.5]{5}. & Quasi-affine morphisms; quasi-projective morphisms; proper morphisms; projective morphisms.\\
  \textsection\hyperref[section:II.6]{6}. & Integral morphisms and finite morphisms.\\
  \textsection\hyperref[section:II.7]{7}. & Valuative criteria.\\
  \textsection\hyperref[section:II.8]{8}. & Blowup schemes; projective cones; projective closure.\\
\end{longtable}
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\oldpage[II]{5}
The various classes of morphisms studied in this chapter are used extensively in cohomological methods; further study using these methods will be done in Chapter~III, where we make particular use of \textsection\textsection2, 4, and 5 of Chapter~II.
On a first reading, \textsection8 can be omitted: it supplements the formalism developed in \textsection\textsection1 and 3, reducing to easy applications of this formalism, and we will use it less consistently than the other results of this chapter.
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