Universal Journal of Mathematics and Mathematical Sciences
Volume 3, Issue 1, Pages 95 - 104
(January 2013)
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THE PUNCTUAL HILBERT SCHEMeS OF DEGREE TWO FOR MONOMIAL CURVE SINGULARITIES
Masahiro Watari
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Abstract: Pfister and Steenbrink studied the structure of punctual Hilbert schemes of certain degree for irreducible curve singularities by their intersections with Schubert cells. Using their method, the author and his students proved that punctual Hilbert schemes of degree two for monomial plane curve singularities are isomorphic to a projective line. In this paper, we generalize this result for general monomial curve singularities. |
Keywords and phrases: punctual Hilbert scheme, monomial curve singularity. |
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