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math.NT2022
Zero-dimensional Shimura varieties and central derivatives of Eisenstein series
Siddarth Sankaran
We formulate and prove a version of the arithmetic Siegel-Weil formula for (zero dimensional) Shimura varieties attached to tori, equipped with some additional data. More precisely…
math.NT2018
Green forms and the arithmetic Siegel-Weil formula
Luis E. Garcia, Siddarth Sankaran
We construct natural Green forms for special cycles in orthogonal and unitary Shimura varieties, in all codimensions, and, for compact Shimura varieties of type O(p,2) and U(p,1),…