95 citations · 146 across the 28 of their papers we have counts for
3 papers · 2 filters
The rank of the 2nd Gaussian map for general curves
Alberto Calabri, Ciro Ciliberto, Rick Miranda
We prove that, for the general curve of genus g, the 2nd Gaussian map is injective if g <= 17 and surjective if g >= 18. The proof relies on the study of the limit of the 2nd Gauss…
Emptiness of homogeneous linear systems with ten general base points
Ciro Ciliberto, Olivia Dumitrescu, Rick Miranda +1
In this paper we give a new proof of the fact that for all pairs of positive integers (d, m) with d/m < 117/37, the linear system of plane curves of degree d with ten general base…
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…