Let k be a field of any characteristic and not necessarily algebraically closed. In this paper we extend some results of the transversality theory to larger families of k-schemes and of k-morphisms and to all the local geometric properties satisfying some given axioms (for example: geom, regular, geom. reduced, geom. normal and the properties S-r and R-s). As an application, we obtain a generalization of the well known Bertini type theorems for local geometric axiomatic properties.
Axiomatic theory for transversality and Bertini type theorems / M.L. Spreafico. - In: ARCHIV DER MATHEMATIK. - ISSN 0003-889X. - 70:5(1998), pp. 407-424. [10.1007/s000130050213]
Axiomatic theory for transversality and Bertini type theorems
M.L. Spreafico
1998
Abstract
Let k be a field of any characteristic and not necessarily algebraically closed. In this paper we extend some results of the transversality theory to larger families of k-schemes and of k-morphisms and to all the local geometric properties satisfying some given axioms (for example: geom, regular, geom. reduced, geom. normal and the properties S-r and R-s). As an application, we obtain a generalization of the well known Bertini type theorems for local geometric axiomatic properties.File | Dimensione | Formato | |
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