Let S be a very general complete intersection surface of multidegree (d_1, d_2) in P^4. The following problem arises: determine the couples (d_1, d_2) such that the surface S does not have any "non-evident" rational map to other surfaces. By non-evident rational map, we mean nonbirational dominant map whose target space is not rational. We give a partial solution, presenting a class of multidegrees (d_1, d_2) which satisfy the above condition.

On dominant rational maps from a very general complete intersection surface in P^4 / F. Caucci, Y. Cho, L. Rizzi. - In: LE MATEMATICHE. - ISSN 0373-3505. - 72:2(2017), pp. 183-194. [10.4418/2017.72.2.13]

On dominant rational maps from a very general complete intersection surface in P^4

F. Caucci;
2017

Abstract

Let S be a very general complete intersection surface of multidegree (d_1, d_2) in P^4. The following problem arises: determine the couples (d_1, d_2) such that the surface S does not have any "non-evident" rational map to other surfaces. By non-evident rational map, we mean nonbirational dominant map whose target space is not rational. We give a partial solution, presenting a class of multidegrees (d_1, d_2) which satisfy the above condition.
Dominant rational maps; Very general complete intersection surfaces
Settore MAT/03 - Geometria
https://lematematiche.dmi.unict.it/index.php/lematematiche/article/view/1509
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/849835
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