On the GIT quotient space of quintic surfaces. We describe the GIT compactification for the moduli space of smooth quintic surfaces in P3. In particular, we show that a normal quintic surface with at worst isolated double points or minimal elliptic singularities is stable. We also describe the boundary of the GIT quotient, and we discuss the stability of the nonnormal surfaces.
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References in zbMATH (referenced in 3 articles , 1 standard article )
Showing results 1 to 3 of 3.
- Gallardo, Patricio: On the GIT quotient space of quintic surfaces (2019)
- Gallardo, Patricio; Martinez-Garcia, Jesus: Variations of geometric invariant quotients for pairs, a computational approach (2018)
- Byun, SangHo; Lee, YongNam: Stability of hypersurface sections of quadric threefolds (2015)