Integrates fundamental techniques from algebraic geometry, localization theory and ring theory, and demonstrates how each topic is enhanced by interaction with others, providing new results within a common framework. Technical conclusions are presented and illustrated with concrete examples.
". . .a good and worthwhile summation of the current status of [the ideal-theoretic spectrum] approach, which is of definitive value for researchers wishing to enter the area or make use of its results. "
Localization; extensions; stability; compatibility and sheaves.