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math.AG2000
Versal deformations and superpotentials for rational curves in smooth threefolds
Sheldon Katz
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 de…
math.AG2000
Virtual Fundamental Classes of Zero Loci
David A. Cox, Sheldon Katz, Yuan-Pin Lee
Let V be a convex vector bundle over a smooth projective manifold X, and let Y be the subset of X which is the zero locus of a regular section of V. This mostly expository paper di…
hep-th2000
Lie Groups, Calabi-Yau Threefolds, and F-Theory
Paul S. Aspinwall, Sheldon Katz, David R. Morrison
The F-theory vacuum constructed from an elliptic Calabi-Yau threefold with section yields an effective six-dimensional theory. The Lie algebra of the gauge sector of this theory an…