Fixed point theorems involving numerical invariants

Abstract

We exhibit invariants of smooth projective algebraic varieties with integer values, whose nonvanishing modulo p prevents the existence of an action without fixed points of certain finite p-groups. The case of base fields of characteristic p is included. Counterexamples are systematically provided to test the sharpness of our results.

final version

References in corpus (2)

• Algebraic cobordism
• Diagonalisable p-groups cannot fix exactly one point on projective varieties

Cited by in corpus (5)

• Symbols and equivariant birational geometry in small dimensions
• A remark on the rank of finite $p$-groups of birational automorphisms
• Actions of nilpotent groups on complex algebraic varieties
• Finite groups of birational transformations
• Descent of tautological sheaves from Hilbert schemes to Enriques manifolds