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The cone construction via intersection theory
B. Wang
We show a method in constructing algebraic cycles via intersection theory. It leads to a proof of the Lefschetz standard conjecture.
Hilbert scheme of rational curves on a generic quintic threefold
B. Wang
Let be a generic quintic threefold in projective space over the complex numbers. For a fixed natural number , let be the open sub-scheme of the Hi…
Rational curves on complete intersection Calabi-Yau 3-folds
B. Wang
We prove the following results. If is a generic complete intersection Calabi-Yau 3-fold, (1) then for each natural number there exists a rational map \par\hspace{1 cc} $c…
Real intersection theory (I)
B. Wang
We introduce the notion of Lebesgue currents. They are a special type of currents involving Lebesgue measure. We apply it to define the intersection of singular cycles, which provi…
Equivalence of Coniveaus
B. Wang
On a smooth projective variety over the complex numbers, there is the coniveau from the coniveau filtration, which is called geometric coniveau. On the same variety, there is anoth…
Cone construction II
B. Wang
This is the second part of two parts, titled " cone construction". In this part we prove the Lefschetz cohomologicity of the cone operator .