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math.NT2024

Co-rank Arithmetic Siegel--Weil IV: Analytic local-to-global

Ryan C. Chen

This is the fourth in a sequence of four papers, where we prove the arithmetic Siegel--Weil formula in co-rank for Kudla--Rapoport special cycles on exotic smooth integral mode…

math.NT2024

Co-rank Arithmetic Siegel--Weil III: Geometric local-to-global

Ryan C. Chen

This is the third in a sequence of four papers, where we prove the arithmetic Siegel--Weil formula in co-rank for Kudla--Rapoport special cycles on exotic smooth integral model…

math.NT2024

Co-rank Arithmetic Siegel--Weil II: Local Archimedean

Ryan C. Chen

This is the second in a sequence of four papers, where we prove the arithmetic Siegel--Weil formula in co-rank for Kudla--Rapoport special cycles on exotic smooth integral mode…

math.NT2024

Co-rank Arithmetic Siegel--Weil I: Local non-Archimedean

Ryan C. Chen

This is the first in a sequence of four papers, where we prove the arithmetic Siegel--Weil formula in co-rank for Kudla--Rapoport special cycles on exotic smooth integral model…