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arXiv · 1106.2763

Turing degrees of isomorphism types of geometric objects

Wesley Calvert·Valentina Harizanov·Alexandra Shlapentokh
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Abstract

We initiate the computability-theoretic study of ringed spaces and schemes. In particular, we show that any Turing degree may occur as the least degree of an isomorphic copy of a structure of these kinds. We also show that these structures may fail to have a least degree.

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Wesley Calvert, Valentina Harizanov, Alexandra Shlapentokh. 2011-06-14. Turing degrees of isomorphism types of geometric objects. https://arxiv.org/abs/1106.2763

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