147 citations · 839 across the 89 of their papers we have counts for
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The Orbifold Chow Ring of Hypertoric Deligne-Mumford Stacks
Yunfeng Jiang, Hsian-Hua Tseng
Hypertoric varieties are determined by hyperplane arrangements. In this paper, we use stacky hyperplane arrangements to define the notion of hypertoric Deligne-Mumford stacks. Thei…
Note on characterizations of projective spaces
Jiun-Cheng Chen, Hsian-Hua Tseng
We prove a numerical characterization of for varieties with at worst isolated local complete intersection quotient singularities. In dimension three, we prove such a…
Orbifold Quantum Riemann-Roch, Lefschetz and Serre
Hsian-Hua Tseng
Given a vector bundle on a smooth Deligne-Mumford stack $\X$ and an invertible multiplicative characteristic class $\bc$, we define the orbifold Gromov-Witten invariants of $\X…
Cone Theorem via Deligne-Mumford stacks
Jiun-Cheng Chen, Hsian-Hua Tseng
We prove the cone theorem for varieties with LCIQ singularities using deformation theory of stable maps into Deligne-Mumford stacks. We also obtain a sharper bound on -de…
On The Global Quotient Structure of The Space of Twisted Stable Maps to a Quotient Stack
Dan Abramovich, Tom Graber, Martin Olsson +1
Let be a tame proper Deligne-Mumford stack of the form where is a scheme and is an algebraic group. We prove that the stack $\mathcal{K}_{g,n}(\mathca…