Cohomology of normal bundles of special rational varieties

Abstract

We give a new method for calculating the cohomology of the normal bundles over rational varieties which are smooth projections of Veronese embeddings. The method can be used also when the projections are not smooth, in this case it provides information about the critical locus of maps between projective spaces.

Keywords:

• Cohomology
• normal bundle
• rational varieties

MATHEMATICS SUBJECT CLASSIFICATION::

• Primary 14H45
• Secondary 14F17
• 14N05

Acknowledgments

We thank the anonymous referee for her/his detailed and helpful remarks on the first submitted version of this article.