Xucheng Zhang

activity

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

collaborators

Showing 2024Show all

3 papers · 1 filter

math.AG2024

Distinguishing Algebraic Spaces from Schemes

Andres Fernandez Herrero, Dario Weißmann, Xucheng Zhang

We introduce local invariants of algebraic spaces and stacks which measure how far they are from being a scheme. Using these invariants, we develop mostly topological criteria to d…

math.AG2024

S-equivalence for algebraic stacks

Xucheng Zhang

We generalize the notion of S-equivalence, previously defined for semistable vector bundles, to points in arbitrary algebraic stacks and use it to describe the identification of po…

math.AG2024

Proper good quotients for $G_{m}$ -actions

Xucheng Zhang

We give an algebraic proof of a result, due to Bialynicki-Birula and Sommese, characterizing the invariant open subsets of a normal proper variety equipped with a $G_{m}$ -ac…

Distinguishing Algebraic Spaces from Schemes

S-equivalence for algebraic stacks

Proper good quotients for Gm​-actions

Proper good quotients for $G_{m}$ -actions