Critical Points of holomorphic sections of line bundles and a spherical Gauss-Lucas theorem

Jingzhou Sun

REVIEW

Critical Points of holomorphic sections of line bundles and a spherical Gauss-Lucas theorem

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1303.5349 v1 pith:SW4XTUZT submitted 2013-03-21 math.CV math.DG

Critical Points of holomorphic sections of line bundles and a spherical Gauss-Lucas theorem

Jingzhou Sun This is my paper

classification math.CV math.DG

keywords criticalpointsgauss-lucasgeneralholomorphicprovesectionsspherical

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original abstract

We study critical points of holomorphic sections of $\ocal(m)$ on $\CP^n$. For quadrics, we give a complete discription of their critical points. When $n=1$, we prove a spherical Gauss-Lucas theorem. For general situation, we prove that a general section has all its critical points isolated and non-degenerate.

Critical Points of holomorphic sections of line bundles and a spherical Gauss-Lucas theorem

discussion (0)