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%%%%%% Math 273 Homework \#4, Fall 2010 %%%%%%
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%%%%%% Instructor: Ezra Miller %%%%%%
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\title{\mbox{}\\[-8ex]Math 273 Homework \#4, Fall 2010\\\normalsize
Instructor: Ezra Miller}
\author{Solutions by: ...your name...\\[2ex]
Collaborators: ...list those with whom you worked on this assignment...\\[1ex]}
\date{Due: Tuesday 26 October 2010}
\maketitle
\vspace{-3ex}%
\noindent
\textsc{Reading assignments} in \cite{vakil}\vspace{-.5ex}
\begin{itemize}
\item%
by Thursday 21 October: \S8.1--8.3\vspace{-1ex}
\item%
by Tuesday 26 October: \S9.1\vspace{-1ex}
\item%
by Thursday 28 October: \S9.2\vspace{-1ex}
\item%
Tuesday 2 November: no class\vspace{-1ex}
\item%
Thursday 4 November: no class\vspace{-1ex}
\item%
by Tuesday 9 November: \S9.3
\end{itemize}
\noindent
\textsc{Exercises}:
In \cite{vakil}, exercises have labels C.S.N, for ``Chapter~C,
Section~S, Exercise~N'', where $\text{C},\text{S} \in \ZZ_+$ and
$\text{N} \in \text{A},\ldots,\text{Z}$. It is not expected that
everyone will complete all of the assigned exercises, but those marked
``[required]'' are essential.\vspace{-1ex}%
\begin{enumerate}
\item[2.3.O][required]%
\item[2.3.S][required]%
\item[7.3.I]%
\item[7.4.B]%
\item[7.4.C][required]%
\item[7.4.F][required; there are easier, more direct ways to do this
than resorting to 7.4.E]%
\item[7.5.A][required]%
\item[7.5.B]%
\item[7.5.D]%
\item[7.5.F][required]%
\item[7.5.I]%
\item[7.5.K]%
\item[7.5.L]%
\end{enumerate}
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\bibitem[Vakil]{vakil}
Ravi Vakil, \emph{Foundations of algebraic geometry}, notes dated
August 26, 2010.
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