Gregory G. Smith: Smooth and irreducible multigraded Hilbert schemes
Gregory G. Smith, KTH/Queen's University
Time: Wed 2009-09-09 13.15 - 14.15
Location: Room 3733, department of mathematics, KTH, Lindstedtsvägen 25, 7th floor
Contact:
Roy Skjelnes
08-790 7215
Subject area: Algebra and geometry
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 will show that any multigraded Hilbert scheme is smooth and irreducible when the polynomial ring is Z[x, y]; this establishes a conjecture of Haiman and Sturmfels.