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math.AG2023
Derivative of volumes of big cohomology classes
Duc-Viet Vu
We prove that the partial derivative of the volume function of big classes along any real divisor in a compact Kaehler manifold is equal to the numerical restricted volume of that…
math.AG2017
Entire holomorphic curves into projective plane intersecting few generic algebraic curves
Dinh Tuan Huynh, Duc-Viet Vu, Song-Yan Xie
For smooth plane algebraic curves having simple normal crossings, if the invariant logarithmic -jet differential bundle associated to $(\mathbb{P}^2(\m…
math.AG2017★ 5 cited
Entire holomorphic curves into projective spaces intersecting a generic hypersurface of high degree
Dinh Tuan Huynh, Duc-Viet Vu, Song-Yan Xie
In this note, we establish the following Second Main Theorem type estimate for every entire non-algebraically degenerate holomorphic curve $f\colon\mathbb{C}\rightarrow\mathbb{P}^n…