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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.22837 |
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| _version_ | 1866916972996853760 |
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| author | Phillips, Andrew |
| author_facet | Phillips, Andrew |
| contents | In this paper we generalize a theorem of Kudla-Rapoport-Yang which gives a formula for the arithmetic degree of the moduli space of CM elliptic curves together with a special endomorphism of a specified degree. Our extension is to the moduli space of QM abelian surfaces with CM together with a special endomorphism of a specified QM degree. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_22837 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Special endomorphisms of QM abelian surfaces Phillips, Andrew Number Theory Algebraic Geometry In this paper we generalize a theorem of Kudla-Rapoport-Yang which gives a formula for the arithmetic degree of the moduli space of CM elliptic curves together with a special endomorphism of a specified degree. Our extension is to the moduli space of QM abelian surfaces with CM together with a special endomorphism of a specified QM degree. |
| title | Special endomorphisms of QM abelian surfaces |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2509.22837 |