Let ϕ:X→Y be a map of Q-factorial Mori dream spaces. We prove that there is a unique Cox lift Φ:X→Y of Mori dream stacks coming from a homogeneous homomorphism R(Y)=R(Y)→R(X), where Y is a canonical stack of Y and X is obtained from X by root constructions, and ϕ is induced from Φ by passing to coarse moduli spaces. We also apply this techniques to show that a Mori dream quotient stack is obtained by roots from its canonical stack.

Maps of Mori dream spaces

Hochenegger A.
;
2018

Abstract

Let ϕ:X→Y be a map of Q-factorial Mori dream spaces. We prove that there is a unique Cox lift Φ:X→Y of Mori dream stacks coming from a homogeneous homomorphism R(Y)=R(Y)→R(X), where Y is a canonical stack of Y and X is obtained from X by root constructions, and ϕ is induced from Φ by passing to coarse moduli spaces. We also apply this techniques to show that a Mori dream quotient stack is obtained by roots from its canonical stack.
2018
Settore MAT/03 - Geometria
File in questo prodotto:
File Dimensione Formato  
9_maps-Mori-dream-spaces.pdf

Accesso chiuso

Tipologia: Published version
Licenza: Non pubblico
Dimensione 466.82 kB
Formato Adobe PDF
466.82 kB Adobe PDF   Richiedi una copia
11384_95428_pr.pdf

Open Access dal 07/06/2019

Tipologia: Accepted version (post-print)
Licenza: Creative Commons
Dimensione 311.33 kB
Formato Adobe PDF
311.33 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/11384/95428
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 4
  • OpenAlex ND
social impact