7 citations · 13 across the 5 of their papers we have counts for
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math.AG2004★ 7 cited
Geometry on nodal curves II: cycle map and intersection calculus
Ziv Ran
We study the relative Hilbert scheme of a family of nodal (or smooth) curves via its (birational) cycle map, going to the relative symmetric product. We show the cycle map is the b…
math.AG2004★ 1 cited
A note on Hilbert schemes of nodal curves
Ziv Ran
We study completely the Hilbert scheme and punctual Hilbert scheme of a nodal curve, and the relative Hilbert scheme of a family of curves acquiring a node. The results are then ex…
math.AG2004★ 3 cited
Cycle map on Hilbert schemes of nodal curves
Ziv Ran
We study the structure of the relative Hilbert scheme for a family of nodal (or smooth) curves via its natural cycle map to the relative symmetric product. We show that the cycle m…