Fibre Spaces and Groupoids

In this article we research sheaves of groupoids representation of category of algebraic normal varieties, in special a category of spectra of fields. When the ground field is algebraically closed, a spectrum of a function field with the locally algebraic automorphism group dominated by a spectrum of a trivial function field is also a spectrum of a trivial function field. Next, we propose another approach for obtaining minimal models of complex projective varieties.

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