120 citations · 234 across the 7 of their papers we have counts for
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math.AG2003★ 3 cited
The structure of the cohomology ring of the filt schemes
Takuro Mochizuki
Let be a smooth projective curve over the complex number field $\cnum$. We investigate the structure of the cohomology ring of the quot schemes $\Quot(r,n)$, i.e., the moduli s…
math.AG2002★ 2 cited
The geometry of the parabolic Hilbert schemes
Takuro Mochizuki
We discuss the parabolic Hilbert scheme of points on smooth surface, which is an interesting generalization of Hilbert scheme of points on surface. Some of the studies by Ellingsru…
math.AG2002★ 17 cited
A theory of the invariants obtained from the moduli stacks of stable objects on a smooth polarized surface
Takuro Mochizuki
Let be a smooth polarized algebraic surface over the compex number field. We discuss the invariants obtained from the moduli stacks of semistable sheaves of arbitrary ranks on…