1 citations · 2 across the 6 of their papers we have counts for
8 papers
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…
The motivic class of the space of genus maps to the flag variety
Jim Bryan, Balázs Elek, Freddie Manners +2
Let be a field, let be the variety of complete flags in , and let be the sp…
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…
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…
The interpolation problem: When can you pass a curve of a given type through N random points in space?
Eric Larson, Ravi Vakil, Isabel Vogt
The interpolation problem is a natural and fundamental question whose roots trace back to ancient Greece. The story is long and rich, with many chapters, and a complete solution ha…
The Chow ring of the moduli space of curves of genus 6
Nikola Penev, Ravi Vakil
We determine the Chow ring (with Q-coefficients) of M_6 by showing that all Chow classes are tautological. In particular, all algebraic cohomology is tautological, and the natural…