Two divisors in ℙn 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 ℙn and prove that two cones are Cremona equivalent if their general hyperplane sections are birational. In particular I produce examples of cones in ℙ3 Cremona equivalent to a plane whose plane section is not Cremona equivalent to a line in ℙ2.
Equivalent birational embeddings III: Cones
MELLA, Massimiliano
2013
Abstract
Two divisors in ℙn 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 ℙn and prove that two cones are Cremona equivalent if their general hyperplane sections are birational. In particular I produce examples of cones in ℙ3 Cremona equivalent to a plane whose plane section is not Cremona equivalent to a line in ℙ2.File in questo prodotto:
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