2 problems

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Representability conjecture for the rigid Picard functor
Let $X$ be a proper rigid space over $K$ . The rigid Picard functor … is the étale sheafification of the presheaf sending a smooth rigid space $Y$ over $K$ to…
Conjectureopenp-adic-geometry picard-varieties rigid-geometryarXiv posted 2 days ago
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Derived invariance of the derived category of the Picard variety
Picard-derived invariance conjecture. If
Conjectureopenabelian-varieties derived-categories picard-varietiesarXiv posted 2 days ago

Representability conjecture for the rigid Picard functor