Zhenjian Wang
Abstract
We discuss which infinitesimally trivial deformations of a smooth projective hypersurface are actually linearly trivial. Conjecturally a generic hypersurface of degree $d$ large enough has no such non-trivial deformations at all, a fact which we prove for 0-dimensional hypersurfaces and $d \geq 4$.
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We discuss which infinitesimally trivial deformations of a smooth projective hypersurface are actually linearly trivial. Conjecturally a generic hypersurface of degree $d$ large enough has no such non-trivial deformations at all, a fact which we prove for 0-dimensional hypersurfaces and $d \geq 4$.
Key concepts: Hypersurface, Infinitesimal, Mathematics, Pure mathematics, Projective test, Degree (music), Mathematical analysis, Physics