Equivalent birational embeddings II: divisors

Details Equivalent birational embeddings II: divisors Equivalent birational embeddings II: divisors

2009-06-26

arxiv.org/abs/0906.4859v2

Mathematics

Algebraic Geometry

v2 Exposition improved, thanks to referee, unconditional characterization of surfaces Cremona equivalent to a plane

Scientific paper

10.1007/s00209-011-0845-3

Two divisors in $\P^n$ 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.

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