Automorphisms of an irregular surface of general type acting trivially in cohomology, III
Automorphisms of an irregular surface of general type acting trivially in cohomology, III
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DOI:
10.1007/s00229-020-01192-4
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发表时间:
2021
期刊:
影响因子:
--
通讯作者:
Cai
中科院分区:
文献类型:
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作者:
Cai
Let S be a complex nonsingular minimal projective surface of general type. In this note we show that any automorphism of S of order three acts faithfully on H^2(S,Q) provided that q(S) ≥ 3. In the case q(S) = 2, the classification for surfaces with an automorphism of order 3 acting trivially on H^2(S,Q) is given. We also construct surfaces S with such an automorphism.