3 papers
math.GT2026
Infinitely many Lefschetz pencils on ruled surfaces
Seraphina Eun Bi Lee, Carlos A. Serván
We show that any ruled surface with admits infinitely many inequivalent Lefschetz pencils of fixed genus and number of base points. Our proof proceeds by building in…
math.GT2025
Cyclic Nielsen realization for del Pezzo surfaces
Seraphina Eun Bi Lee, Tudur Lewis, Sidhanth Raman
The cyclic Nielsen realization problem for a closed, oriented manifold asks whether any mapping class of finite order can be represented by a homeomorphism of the same order. In th…
math.GT2024
Lefschetz fibrations with infinitely many sections
Seraphina Eun Bi Lee, Carlos A. Serván
The Arakelov--Parshin rigidity theorem implies that a holomorphic Lefschetz fibration of genus admits only finitely many holomorphic sections $σ:S^2 \to M…