Juan D. Velez, Danny A. J. Gomez-Ramirez, Edisson Gallego
Published 2017-08-15Version 1
We prove a general version of Bezout's form of the Nullstellensatz for arbitrary fields. The corresponding sufficient and necessary condition only involves the local existence of multi-valued roots for each of the polynomials belonging to the ideal in consideration. Finally, this version implies the standard Nullstellensatz when the coefficient field is algebraically closed.
Obstructions to the deformations of curves to other hypersurfaces
The gamma construction and asymptotic invariants of line bundles over arbitrary fields
Freeness for multiarrangements of hyperplanes over arbitrary fields
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