Versal deformations and superpotentials for rational curves in smooth threefolds

Details Versal deformations and superpotentials for rational curves in smooth threefolds Versal deformations and superpotentials for rational curves in smooth threefolds

2000-10-30

arxiv.org/abs/math/0010289v1

Mathematics

Algebraic Geometry

11 pages, LaTeX

Scientific paper

The versal deformation space of a smooth rational curve in a smooth complex
threefold is explicitly computed under certain hypotheses. Under an additional
hypothesis, the versal deformation space is then shown to be the variety of
critical points of a holomorphic function, the superpotential, as predicted by
the consideration of D-branes in string theory.

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