Siddarth Sankaran's scientific contributions

Publication (1)

Article
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Our aim is to clarify the relationship between Kudla's and Bruinier's Green functions attached to special cycles on Shimura varieties of orthogonal and unitary type. These functions play a key role in the arithmetic geometry of the special cycles in the context of Kudla's program. In particular, we show that the generating series obtained by taking...

Citations

... Kudla's Green function. For F = Q, Ehlen and Siddarth [ES18] proved that the difference between "the automorphic Green function with Borcherds' normalization" and Kudla's Green function for Z t is the t-th coefficient of a non-holomorphic modular form of weight n + 1. With our replacement, we prove an analogous modularity result, see Theorem 4.2.8. ...