仿射簇Euler数据的对偶性

从Runge域到仿射algebraic varieties的全纯映射的逼近

Approximation of holomorphic maps from Runge domains to affine algebraic varieties

我们提出了一个几何证明定理说，全纯映射从龙格域仿射代数簇承认逼近的纳什映射。接下来我们推广这个定理。

被仿射空间覆盖的簇、一致有理簇及其锥

Varieties covered by affine spaces, uniformly rational varieties and their cones

本研究将仿射锥的格罗莫夫椭圆性结论，从旗流形、有理光滑射影曲面推广到逐次爆发后的光滑射球星形簇、一致有理射影簇及稳定一致有理完全簇。

Surjective morphisms onto subelliptic varieties

We prove that every smooth subelliptic variety admits a surjective morphism from an affine space. This result gives partial answers to the questions of Arzhantsev and Forstnerič. As an application, we characterize open images of morphisms between affine spaces. We also obtain the jet interpolation theorem for morphisms from zero-dimensional subschemes of affine varieties to smooth subelliptic varieties.