Analysis of weighted real forms shows new bounds in complex varieties with finite automorphism groups, indicating deeper geometric insights.
We give a bound on the number of weighted real forms of a complex variety with finite automorphism group, where the weight is the inverse of the number of automorphisms of the real form. We give another bound involving the Sylow 2-subgroup and as an application we give bounds on real forms of plane curves. 9 pages
No takes yet. Share an insight, caveat, or question.
Geer et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: