Equivalent birational embeddings II: divisors
Algebraic Geometry
2011-03-25 v2
Abstract
Two divisors in are said to be Cremona equivalent if there is a Cremona modification sending one to the other. We produce infinitely many non equivalent divisorial embeddings of any variety of dimension at most 14. Then we study the special case of plane curves and rational hypersurfaces. For the latter we characterise surfaces Cremona equivalent to a plane.
Cite
@article{arxiv.0906.4859,
title = {Equivalent birational embeddings II: divisors},
author = {Massimiliano Mella and Elena Polastri},
journal= {arXiv preprint arXiv:0906.4859},
year = {2011}
}
Comments
v2 Exposition improved, thanks to referee, unconditional characterization of surfaces Cremona equivalent to a plane