A categorified Zariski geometry for 2-rings is constructed, recovering the Balmer spectrum as the underlying space and yielding descent and full faithfulness for rigid 2-rings.
Gluing techniques in triangular geometry
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Higher Zariski Geometry
A categorified Zariski geometry for 2-rings is constructed, recovering the Balmer spectrum as the underlying space and yielding descent and full faithfulness for rigid 2-rings.