

\magnification=\magstep1
\def \bA {{\bf A}}
\def \bP {{\bf P}}
\def \bZ {{\bf Z}}
\def \bG {{\bf G}}
\def \bQ {{\bf Q}}
\def \bO {{\bf O}}
\def \bF {{\bf F}}
\def \bT {{\bf T}}
\def \bP {{\bf P}}


{Mathematics 535 \hfill Algebraic Geometry \hfill Fall 2008}

\bigskip


\centerline{ Problem Set 1B (Last revised \number\month/\number\day/\number\year)}
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\item{1.3} {Show that any d points in projective space which are not
contained in a line are the zero set of a collection of polynomials of degree
d-1.}
\itemitem{Proof:}{}





\medskip
\item{1.5} {Let $\Gamma$ be a collection of $d \leq kn$ points in general
position in projective $n$ space ($k \geq 2$). Show that $\Gamma$ is the zero se
t of a
collection of homogeneous polynomials of degrees at most $k$.}

\itemitem{Proof:}{}


\medskip

\item{1.6} {Let $P_1,\ldots,P_{n+2}$ and $Q_1,\ldots,Q_{n+2}$ be two ordered
sets
of $n+2$ points in general position in projective n--space. Show that
these varieties are projectively equivalent, and the equivalence can be chosen
to preserve the order.}


\itemitem{Proof:}
\medskip







\bye


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