Surfaces with Many Solitary

Abstract

It is classically known that a real cubic surface in RP 3 cannot have more than one solitary point (or A • 1-singularity, locally given by x 2 + y 2 + z 2 = 0) whereas it can have up to four nodes (or A − 1-singularities, locally given by x 2 + y 2 − z 2 = 0). We show that on any surface of degree d ≥ 3 in RP 3 the maximum possible number of solitary points… (More)

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