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20232026
most citedA stacky approach to identifying the semistable locus of bundles

1 citations · 1 across the 7 of their papers we have counts for

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math.AG2026

Finiteness of open substacks with proper moduli spaces

Xucheng Zhang

For an algebraic stack of finite type, we construct a finite stratification of an atlas such that every universally closed open substack pulls back to a union of strata. As a resul…

math.AG2026

Open substacks preserving moduli spaces: classification and bounds

Jianping Wang, Xucheng Zhang

For a smooth locally reductive stack admitting an adequate moduli space, we show that there are finitely many open substacks preserving the adequate moduli space, and give a comple…

math.AG2026

Comparing local-global obstructions on algebraic stacks

Chang Lv, Han Wu, Xucheng Zhang

Let k be a number field. For quotient stacks [X/G] with X a smooth quasi-projective geometrically integral k-variety and G a linear k-group, we extend several relations between loc…