225 citations · 315 across the 13 of their papers we have counts for
12 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…
Stability of tangent bundles on smooth toric Picard-rank-2 varieties and surfaces
Milena Hering, Benjamin Nill, Hendrik Süß
We give a combinatorial criterion for the tangent bundle on a smooth toric variety to be stable with respect to a given polarisation in terms of the corresponding lattice polytope.…
Diagonal splittings of toric varieties and unimodularity
Jed Chou, Milena Hering, Sam Payne +2
We use a polyhedral criterion for the existence of diagonal splittings to investigate which toric varieties X are diagonally split. Our results are stated in terms of the vector co…
The ring of evenly weighted points on the line
Milena Hering, Benjamin Howard
Let $M_w = (\Pj^1)^n \q \mathrm{SL}_2$ denote the geometric invariant theory quotient of $(\Pj^1)^n$ by the diagonal action of using the line bundle $\mathcal{O}(w_…
The T-graph of a multigraded Hilbert scheme
Milena Hering, Diane Maclagan
The T-graph of a multigraded Hilbert scheme records the zero and one-dimensional orbits of the T = (K^*)^n action on the Hilbert scheme induced from the T-action on A^n. It has ver…
Few smooth d-polytopes with n lattice points
Tristram Bogart, Christian Haase, Milena Hering +6
We prove that, for fixed n there exist only finitely many embeddings of Q-factorial toric varieties X into P^n that are induced by a complete linear system. The proof is based on a…