41 citations · 127 across the 24 of their papers we have counts for
19 papers · 1 filter
Toric and tropical Bertini theorems in positive characteristic
Francesca Gandini, Milena Hering, Diane Maclagan +4
We generalize the toric Bertini theorem of Fuchs, Mantova, and Zannier to positive characteristic. A key part of the proof is a new algebraically closed field containing the field…
The spine of the T-graph of the Hilbert scheme of points in the plane
Diane Maclagan, Rob Silversmith
The torus T of projective space also acts on the Hilbert scheme of subschemes of projective space. The T-graph of the Hilbert scheme has vertices the fixed points of this action, a…
Varieties of Tropical Ideals are Balanced
Diane Maclagan, Felipe Rincón
Tropical ideals, introduced in arXiv:1609.03838, define subschemes of tropical toric varieties. We prove that the top-dimensional parts of their varieties are balanced polyhedral c…
Higher Connectivity of Tropicalizations
Diane Maclagan, Josephine Yu
We show that the tropicalization of an irreducible d-dimensional variety over a field of characteristic 0 is (d-l)-connected through codimension one, where l is the dimension of th…
A presentation for the Cox ring of
Martha Bernal Guillén, Diane Maclagan
We compute the relations in the Cox ring of the moduli space . This gives a presentation of the Cox ring as a quotient of a polynomial ring with 40 generators b…
Computing Tropical Varieties in Macaulay2
Carlos Améndola, Kathlén Kohn, Sara Lamboglia +5
We introduce a package for doing tropical computations in Macaulay2. The package draws on the functionality of Gfan and Polymake while making the process as simple as possible for…