Corpus ID: 237593108

De Jonqui\`eres transformations in arbitrary dimension. An ideal theoretic view

@inproceedings{Ramos2021DeJT,
  title={De Jonqui\`eres transformations in arbitrary dimension. An ideal theoretic view},
  author={Zaqueu Ramos and Aron Simis},
  year={2021}
}
A generalization of the plane de Jonquières transformation to arbitrary dimension is studied, with an eye for the ideal theoretic side. In particular, one considers structural properties of the corresponding base ideal and of its defining relations. Useful throughout is the idea of downgraded sequences of forms, a tool considered in many sources for the rounding-up of ideals of defining relations. The emphasis here is on the case where the supporting Cremona transformation of the de Jonquières… Expand

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