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.
2013
Mella, Massimiliano
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/2326887
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? ND
social impact