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6 papers · 2 filters
Khovanskii-Rolle continuation for real solutions
Dan Bates, Frank Sottile
We present a new continuation algorithm to find all nondegenerate real solutions to a system of polynomial equations. Unlike homotopy methods, it is not based on a deformation of t…
A Riemann-Roch theorem for edge-weighted graphs
Rodney James, Rick Miranda
We prove a Riemann-Roch theorem for real divisors on edge-weighted graphs over the reals, extending the result of Baker and Norine for integral divisors on graphs with multiple edg…
An example of crepant resolution conjecture in two steps
Renzo Cavalieri, Gueorgui Todorov
We study the relation among the genus 0 Gromov-Witten theories of the three spaces , where $\mathcal{X}=[\c^2/\z_3]$, is…
Tautological pairings on moduli spaces of curves
Renzo Cavalieri, Stephanie Yang
We discuss analogs of Faber's conjecture for two nested sequences of partial compactifications of the moduli space of smooth curves. We show that their tautological rings are one-d…
The p-rank strata of the moduli space of hyperelliptic curves
Jeff Achter, Rachel Pries
We prove results about the intersection of the p-rank strata and the boundary of the moduli space of hyperelliptic curves in characteristic p > 2. Using this, we prove that the Z/\…
Non-Defectivity of Grassmannians of planes
Hirotachi Abo, Giorgio Ottaviani, Chris Peterson
Let be the Plücker embedding of the Grassmann variety of projective -planes in . For a projective variety , let denote the variety of its secant…