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math.AG2021★ 1 cited
Values of zeta functions of arithmetic surfaces at
S. Lichtenbaum, N. Ramachandran
We show that the recent conjecture of the first-named author for the special value at of the zeta function of an arithmetic surface is equivalent to the Birch-Swinnerton-Dyer…
math.AG2021
Fiber integration of gerbes and Deligne line bundles
Ettore Aldrovandi, Niranjan Ramachandran
Let be a family of smooth projective curves, and let and be a pair of line bundles on . We show that Deligne's line bundle can be obta…