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math.AG2017
Grothendieck-Plücker images of Hilbert schemes are degenerate
Donghoon Hyeon, Hyungju Park
We study the decompositions of Hilbert schemes induced by the Schubert cell decomposition of the Grassmannian variety and show that Hilbert schemes admit a stratification into loca…
math.AG1998
Algorithms for Determining Birationality of Parametrization of Affine Curves
Hyungju Park
Let be an arbitrary field, and C be a curve in A^n defined parametrically by x_1=f_1(t),...,x_n=f_n(t), where f_1,...,f_n\in k[t]. A necessary and sufficient condition for the…
math.AG1998
Homogeneous Cyclotomic Polynomials and Rationality of Curves
Hyungju Park
This paper is withdrawn. The current main theorem can be proved by using a simple field theory. The main theorem is to placed by another theorem, shortly.