Modularity of generating series of divisors on unitary Shimura varieties
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Bruinier, Jan; Howard, Benjamin; Kudla, Stephen S.; Rapoport, Michael; Yang, Tonghai;
Modularity of generating series of divisors on unitary Shimura varieties
We form generating series of special divisors, valued in the Chow group and in the arithmetic Chow group, on the compactified integral model of a Shimura variety associated to a unitary group of signature (n-1,1), and prove their modularity. The main ingredient of the proof is the calculation of the vertical components appearing in the divisor of a Borcherds product on the integral model.
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- Boston College United States
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- University of Bonn Germany
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14G35, 11F55, 11F27, Mathematics - Algebraic Geometry, Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT), Algebraic Geometry (math.AG)
14G35, 11F55, 11F27, Mathematics - Algebraic Geometry, Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT), Algebraic Geometry (math.AG)
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