Equivalent Birational Embeddings III: cones

2014/07/30 by Mella, Massimiliano · 2 citations
#14E05 #14E07 #14J30 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1407.8075

Abstract

Two divisors in \mathbb 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 \mathbb Pⁿ and prove that two cones are Cremona equivalent if their general hyperplane sections are birational. In particular I produce examples of cones in \mathbb P³ Cremona equivalent to a plane whose plane section is not Cremona equivalent to a line in \mathbb P².

Cited by

• Cremona equivalence and log Kodaira dimension
• Uniform rationality of products with the plane

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