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EnglishWe develop the theory of twisted stable maps into a tame Artin stack M. We show that the stacks K(g,n)(M) of twisted stable maps are algebraic, and proper and quasi-finite over the corresponding stacks K(g,n)(M) of stable maps of the coarse moduli space M of M. In the special case where M = BC, the classifying stack of a linearly reductive group scheme G, we show that K(g,n)(BG) -> (M) over bar (g,n) is a flat morphism with local complete intersection fibers.
http://hdl.handle.net/11384/5729| Titolo: | Twisted stable maps to tame Artin stacks |
| Autori interni: | VISTOLI, ANGELO |
| Data di pubblicazione: | 2011 |
| Rivista: | JOURNAL OF ALGEBRAIC GEOMETRY |
| Abstract: | We develop the theory of twisted stable maps into a tame Artin stack M. We show that the stacks K(g,n)(M) of twisted stable maps are algebraic, and proper and quasi-finite over the corresponding stacks K(g,n)(M) of stable maps of the coarse moduli space M of M. In the special case where M = BC, the classifying stack of a linearly reductive group scheme G, we show that K(g,n)(BG) -> (M) over bar (g,n) is a flat morphism with local complete intersection fibers. |
| Handle: | http://hdl.handle.net/11384/5729 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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