Prismatic Cohomology of Rigid Analytic Spaces Over De Rham Period Ring

Key Points

• The aim is to develop a framework for prismatic cohomology applied to rigid analytic spaces with specific singularities.
• Introduced prismatic cohomology reflective of previous work by Bhatt–Scholze.
• Focused on rigid analytic spaces characterized by l.c.i. singularities.
• Utilized coefficients from Fontaine's de Rham period ring.
• Established foundational concepts of prismatic cohomology in the context of rigid analytic geometry.
• Provided insights into the behavior of singularities in the proposed framework.