Gauss-Manin connection in disguise: Genus two curves

نویسندگان

چکیده

We describe an algebra of meromorphic functions on the Siegel domain genus two which contains modular forms for arithmetic index six subgroup symplectic group, is closed under three canonical derivations domain. The main ingredients our study are moduli enhanced curves, Gauss-Manin connection and vector fields living such spaces.

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ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 2021

ISSN: ['1857-8365', '1857-8438']

DOI: https://doi.org/10.1016/j.aim.2021.107684