4 papers
Monodromy action on character varieties for Lefschetz pencils
Ishan Banerjee
Given a Riemann surface Σ, let Î {\subseteq} Mod(Σ) denote the monodromy subgroup of a family of complex curves homeomorphic to Σ, arising from a sufficently ample Lefschetz pe…
Monodromy and vanishing cycles for complete intersection curves
Ishan Banerjee, Nick Salter
We compute the topological monodromy of every family of complete intersection curves. Like in the case of plane curves previously treated by the second-named author, we find the an…
Monodromy and vanishing cycles for sufficiently ample linear systems on simply connected surfaces
Ishan Banerjee, Nick Salter
We compute the mapping class group-valued monodromy of any sufficiently ample linear system on any smooth simply connected projective surface, identifying this with the r-spin mapp…
Slicing Correspondences with High Degree Hypersurfaces
Ishan Banerjee
We approximately compute the correspondence degree (as defined by Lazarsfeld and Martin) between two unbalanced complete intersections. This is accomplished by showing that the pro…