On the GIT Quotient Space of Quintic Surfaces

Published 14 Oct 2013 in math.AG | (1310.3534v3)

Abstract: 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.

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Authors (1)

Patricio Gallardo

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