Trace formulas for a class of compact complex surfaces
Lei Yang
Abstract
We give the trace formulas of weight k for cocompact, torsion-free discrete subgroups of SU(2, 1) and prove the analogue of the Riemann hypothesis on compact complex surfaces M with c12(M)=3 c2(M), where ci(M) is the i-th Chern class of M, c2(M) is a multiple of three and c2(M)>0.
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