A short way of counting maps to hypersurfaces in Grassmannians
Abstract
Using a Quot scheme compactification, we calculate the virtual count of maps of degree d from a smooth curve of genus g to a hypersurface in a Grassmannian, sending specified points of the curve to special Schubert subvarieties restricted to the hypersurface.We study the question of whether this virtual count is in fact enumerative under suitable conditions on the hypersurface, in the regime when the map degree d is large.
Fields of Study & Subjects
Advanced Combinatorial Mathematics
Algebraic Geometry and Number Theory
Mathematical Dynamics and Fractals
Publication details
- Journal / source
- ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
- Pages
- 19–19
- Publication date
- 25 June 2026
- Language
- EN