Home /  MSRI Colloquium: "Smooth and Irreducible Multigraded Hilbert Schemes"

Seminar

MSRI Colloquium: "Smooth and Irreducible Multigraded Hilbert Schemes" May 15, 2009
Parent Program: --
Location: SLMath: Eisenbud Auditorium
Speaker(s) Gregory Smith
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Abstract/Media

The multigraded Hilbert scheme parametrizes all homogeneous ideals in a polynomial ring graded by an abelian group with a fixed Hilbert function. In this talk, we'll show that any multigraded Hilbert scheme is smooth and irreducible when the polynomial ring is ZZ[x,y]; this establishes a conjecture of Haiman and Sturmfels.

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