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.

Twisted stable maps to tame Artin stacks

VISTOLI, ANGELO
2011

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.
2011
Settore MAT/03 - Geometria
File in questo prodotto:
File Dimensione Formato  
twisted-tame01apr08.pdf

accesso aperto

Tipologia: Accepted version (post-print)
Licenza: Creative Commons
Dimensione 605.14 kB
Formato Adobe PDF
605.14 kB Adobe PDF

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/5729
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 50
  • ???jsp.display-item.citation.isi??? 50
  • OpenAlex ND
social impact