We exhibit invariants of smooth projective algebraic varieties with integer values, whose nonvanishing modulo prevents the existence of an action without fixed points of certain finite -groups. The case of base fields of characteristic is included. Counterexamples are systematically provided to test the sharpness of our results.
Haution, O. (2019). Fixed point theorems involving numerical invariants. COMPOSITIO MATHEMATICA, 155(2), 260-288 [10.1112/S0010437X18007911].
Fixed point theorems involving numerical invariants
Haution O.
2019
Abstract
We exhibit invariants of smooth projective algebraic varieties with integer values, whose nonvanishing modulo prevents the existence of an action without fixed points of certain finite -groups. The case of base fields of characteristic is included. Counterexamples are systematically provided to test the sharpness of our results.
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