DSpace-CRIS at TU Wienhttps://repositum.tuwien.atThe reposiTUm digital repository system captures, stores, indexes, preserves, and distributes digital research material.Thu, 05 Aug 2021 11:10:38 GMT2021-08-05T11:10:38Z5011On Positive-Characteristic Semi-parametric Local Uniform Reductions of Varieties over Finitely Generated Q-Algebrashttp://hdl.handle.net/20.500.12708/945Title: On Positive-Characteristic Semi-parametric Local Uniform Reductions of Varieties over Finitely Generated Q-Algebras
Authors: Gallego, Edisson; Gómez-Ramírez, Danny Arlen de Jesús; Vélez, Juan D.
Abstract: We present a non-standard proof of the fact that the existence of a local (i.e. restricted to a point) characteristic-zero, semi-parametric lifting for a variety defined by the zero locus of polynomial equations over the integers is equivalent to the existence of a collection of local semi-parametric (positive-characteristic) reductions of such variety for almost all primes (i.e. outside a finite set), and such that there exists a global complexity bounding all the corresponding structures involved. Results of this kind are a fundamental tool for transferring theorems in commutative algebra from a characteristic-zero setting to a positive-characteristic one.
Sun, 01 Jan 2017 00:00:00 GMThttp://hdl.handle.net/20.500.12708/9452017-01-01T00:00:00Z