On the GIT Quotient Space of Quintic Surfaces

Patricio Gallardo

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On the GIT Quotient Space of Quintic Surfaces

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arxiv 1310.3534 v3 pith:DHPRDM37 submitted 2013-10-14 math.AG

On the GIT Quotient Space of Quintic Surfaces

Patricio Gallardo This is my paper

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keywords quinticspacesurfacesdescribequotientboundarycompactificationdiscuss

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We describe the GIT compactification for the moduli space of smooth quintic surfaces in projective space. In particular, we show that a normal quintic surface with at worst an isolated double point or a minimal elliptic singularity is stable. We also describe the boundary of the GIT quotient, and we discuss the stability of the non-normal surfaces.

On the GIT Quotient Space of Quintic Surfaces

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