We investigate surjective parametrizations of rational algebraic varieties, in the vein of recent work by Jorge Caravantes, J. Rafael Sendra, David Sevilla, and Carlos Villarino. In particular, we show how to construct plenty of examples of affine surfaces S not admitting a finite surjective morphism f : A2 → S.
On the existence of finite surjective parametrizations of affine surfaces / Ballico, Edoardo; Fontanari, Claudio. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - 601:(2022), pp. 101-104. [10.1016/j.jalgebra.2022.02.021]
On the existence of finite surjective parametrizations of affine surfaces
Edoardo Ballico;Claudio Fontanari
2022-01-01
Abstract
We investigate surjective parametrizations of rational algebraic varieties, in the vein of recent work by Jorge Caravantes, J. Rafael Sendra, David Sevilla, and Carlos Villarino. In particular, we show how to construct plenty of examples of affine surfaces S not admitting a finite surjective morphism f : A2 → S.File in questo prodotto:
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