28 citations · 54 across the 4 of their papers we have counts for
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Enumeration of singular varieties with tangency conditions
Yu-jong Tzeng
We construct the algebraic cobordism theory of bundles and divisors on smooth varieties. It has a simple basis (over Q) from projective spaces and its rank is equal to the number o…
Universal polynomials for singular curves on surfaces
Jun Li, Yu-jong Tzeng
Let S be a complex smooth projective surface and L be a line bundle on S. For any given collection of isolated topological or analytic singularity types, we show the number of curv…
Algebraic cobordism of filtered vector bundles on varieties: Notes on a work of Lee and Pandharipande
Chien-Hao Liu, Yu-jong Tzeng, Shing-Tung Yau
The construction of double point cobordism groups of vector bundles on varieties in the work [Lee-P] (arXiv:1002.1500 [math.AG]) of Yuan-Pin Lee and Rahul Pandharipande gives immed…
A Proof of the Göttsche-Yau-Zaslow Formula
Yu-jong Tzeng
Let S be a complex smooth projective surface and L be a line bundle on S. Göttsche conjectured that for every integer r, the number of r-nodal curves in |L| is a universal polynomi…