\input zb-basic
\input zb-ioport
\iteman{io-port 05956943}
\itemau{Choi, Youngook; Kang, Pyung-Lyun; Kwak, Sijong}
\itemti{Remarks on syzygies of the section modules and geometry of projective varieties.}
\itemso{Commun. Algebra 39, No. 7, 2519-2531 (2011).}
\itemab
Let $R=k[x_0,\dots,x_n]$ be a polynomial ring over an algebraically closed field $k$. Let $X\subset \text{Proj}(R)=\mathbb{P}^n$ be a smooth variety and $q\in X$ be any point. Consider the inner projection $\pi_q : X \dasharrow \mathbb{P}^{n-1}$. The property $N_p$ measures how close the minimal free resolution of $R/I_X$ is to a linear resolution. In the paper under review, the authors show that if $X\subset \mathbb{P}^n$ satisfies $N_p$ then the closure of the image of $X$ under any inner projection in $\mathbb{P}^{n-1}$ satisfies $N_{p-1}$. As an application, they consider the property $N_p$ for inner projections of elliptic surface scrolls.
\itemrv{Kyungyong Lee (Storrs)}
\itemcc{}
\itemut{inner projection; linear syzygy; property $N_p$}
\itemli{doi:10.1080/00927872.2010.491100}
\end