  We explain the origin of the Veronese surface in the vacuum moduli space
geometry of the MSSM electroweak sector. While this result appeared many years
ago using techniques of computational algebraic geometry, it has never been
demonstrated analytically. Here, we present an analytical derivation of the
vacuum geometry of the electroweak theory by understanding how the F- and
D-term relations lead to the Veronese surface. We moreover give a detailed
description of this geometry, realising an extra branch as a zero-dimensional
point when quadratic Higgs lifting deformations are incorporated into the
superpotential.
