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arXiv · 1407.8075

Equivalent Birational Embeddings III: cones

Massimiliano Mella
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Abstract

Two divisors in $\mathbb P^n$ are said to be Cremona equivalent if there is a Cremona modification sending one to the other. In this paper I study irreducible cones in $\mathbb P^n$ and prove that two cones are Cremona equivalent if their general hyperplane sections are birational. In particular I produce examples of cones in $\mathbb P^3$ Cremona equivalent to a plane whose plane section is not Cremona equivalent to a line in $\mathbb P^2$.

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Massimiliano Mella. 2014-07-30. Equivalent Birational Embeddings III: cones. https://arxiv.org/abs/1407.8075

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