arXiv subjects

Elena Polastri

Publications and source records attributed to Elena Polastri.

2 recordsLinked to original sources

arXiv2011

Equivalent birational embeddings II: divisors

Two divisors in $¶^n$ 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.

math.AG↗

arXiv2009

Equivalent birational embeddings

Let $X$ be a projective variety of dimension $r$ over an algebraically closed field. It is proven that two birational embeddings of $X$ in $¶^n$, with $n\geq r+2$ are equivalent up to Cremona transformations of $¶^n$.

math.AG↗