A note on scrolls of smallest embedded codimension

Mathematics – Algebraic Geometry

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

AMSTex v 1.1c, Hard copy (4 pages) is available on request to fujita@math.titech.ac.jp This replacement does not affect the co

Scientific paper

Let $M$ be a submanifold of ${\Bbb P}^N$ of dimension $n>2$. Suppose that $(M,{\Cal O}_M(1))\cong{\Bbb P}({\Cal E}),{\Cal O}(1))$ for some vector bundle ${\Cal E}$ on a surface $S$. Then $N\ge 2n-1$ by Barth-Lefschetz Theorem. We are interested in the case $N=2n-1$. In 1994 Ionescu and Toma gave a classification of the cases where $S$ is not of general type. Here we propose a conjecture concerning this remaining case, which is verified for $n\le 1100$ by a computer programm.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

A note on scrolls of smallest embedded codimension does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A note on scrolls of smallest embedded codimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A note on scrolls of smallest embedded codimension will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-564956

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.