4 papers
math.AG2026
Based maps to Lagrangian Grassmannians, Quivers, and Bott Periodicity
Jim Bryan, Ravi Vakil
We give a quiver description of the space of based algebraic maps from to the Lagrangian Grassmannian (and its orthogonal counterpart). We show our descriptions le…
math.AG2026
Tschirnhausen bundles of covers of the projective line
Ravi Vakil, Sameera Vemulapalli
A degree genus cover of the complex projective line by a smooth curve yields a vector bundle on the projective line by pushforward of the structure sheaf. Which bundles…
math.AG2026
The motivic class of the space of genus maps to the flag variety
Jim Bryan, Balázs Elek, Freddie Manners +2
Let be the variety of complete flags in and let be the space of based maps $f:\mathbb{P}^{1}\to \o…
math.AG2025
Complex Bott Periodicity in algebraic geometry
Hannah Larson, Ravi Vakil
We state and prove a form of Bott periodicity (for ) in an algebraic setting (so, ) which makes sense over , which also specializes to Bott periodicity in…