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2 votes
0 answers
323 views

Surjectivity of pushforward on Chow rings for stacks

Let $f:X\rightarrow Y$ be a proper morphism of smooth Deligne-Mumford stacks of finite type over $\mathbb{C}$ that is birational, but not flat. The coarse spaces of $X$ and $Y$ are both not smooth. Is ...
Samir Canning's user avatar
1 vote
0 answers
279 views

How to think about the quotient field of an integral stack?

This is the definition given in Vistoli's paper. Let $F$ be an integral stack. A rational function of $F$ is a morphism $G \rightarrow A^1_S$ defined on a nonempty open substack $G$ of $F$. ...
WWK's user avatar
  • 231
3 votes
0 answers
298 views

Chow ring of a $\mu_2$-gerbe

Suppose that $X$ is a stack, and $Y \to X$ is a $\mu_2$-gerbe. Is there any relationship between the integral Chow rings (in the sense of Edidin and Graham) of $X$ and $Y$? (I assume they become ...
Eric Larson's user avatar
  • 1,832