Talk:Picard–Lefschetz theory

Examples to Discuss

This page should discuss examples of where the Picard-Lefschetz formula is useful; i.e., with perverse sheaves. Good examples to look at are hyperelliptic curves over an affine base $\mathbb {A} _{t}^{1}$, so families of curves of the form

$y^{2}-(x-at)\cdot (x-a_{1})\cdots (x-a_{n})$ — Preceding unsigned comment added by 161.98.8.2 (talk) 23:49, 13 August 2017 (UTC)

Links

• https://mathoverflow.net/questions/226133/topology-of-family-of-complex-varieties
• https://mathoverflow.net/questions/20132/how-to-compute-the-picard-lefschetz-monodromy-matrix-of-a-non-semistable-fiber
• https://mathoverflow.net/questions/247461/what-tools-can-i-use-to-compute-the-cohomology-of-the-fibers-of-a-lefschetz-penc/248051#248051 — Preceding unsigned comment added by Wundzer (talk • contribs) 05:54, 3 May 2020 (UTC)