Special endomorphisms of QM abelian surfaces

Key Points

• The research finds a formula for the arithmetic degree of moduli spaces in QM abelian surfaces, enhancing existing theories.
• A notable extension is made to encompass special endomorphisms with specified QM degree, providing broader applicability.
• The approach builds on the previous work by Kudla-Rapoport-Yang, demonstrating the interconnectedness of these mathematical concepts.
• This extension could lead to further understanding of the moduli space characteristics in higher-dimensional algebraic structures.