59 citations · 292 across the 40 of their papers we have counts for
40 papers
Low degree Hurwitz stacks in the Grothendieck ring
Aaron Landesman, Ravi Vakil, Melanie Matchett Wood
For , we show that the class of the Hurwitz space of smooth degree , genus covers of stabilizes in the Grothendieck ring of stacks as $g \to \…
Numerical Schubert Calculus via the Littlewood-Richardson Homotopy Algorithm
Anton Leykin, Abraham Martin del Campo, Frank Sottile +2
We develop the Littlewood-Richardson homotopy algorithm, which uses numerical continuation to compute solutions to Schubert problems on Grassmannians and is based on the geometric…
Motivic Hilbert zeta functions of curves are rational
Dori Bejleri, Dhruv Ranganathan, Ravi Vakil
The motivic Hilbert zeta function of a variety is the generating function for classes in the Grothendieck ring of varieties of Hilbert schemes of points of the variety. In this pap…
On the Chow ring of the Hurwitz space of degree three covers of
Anand Patel, Ravi Vakil
We determine that the Chow ring (with -coefficients) of the Hurwitz space parametrizing degree three covers of is tautological. We also compute the rational…
Discriminants in the Grothendieck Ring
Ravi Vakil, Melanie Matchett Wood
We consider the "limiting behavior" of *discriminants*, by which we mean informally the locus in some parameter space of some type of object where the objects have certain singular…
Mnev-Sturmfels universality for schemes
Seok Hyeong Lee, Ravi Vakil
We prove a scheme-theoretic version of Mnev-Sturmfels Universality, suitable to be used in the proof of Murphy's Law in Algebraic Geometry. Somewhat more precisely, we show that an…