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math.AG2022★ 1 cited
On the fundamental groups of subelliptic varieties
Yuta Kusakabe
We show that the fundamental group of any smooth subelliptic variety is finite. Moreover, it is also proved that every finite group can be realized as the fundamental group of a sm…
math.AG2022★ 4 cited
Surjective morphisms onto subelliptic varieties
Yuta Kusakabe
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. A…
math.AG2020★ 2 cited
Thom's jet transversality theorem for regular maps
Yuta Kusakabe
We establish Thom's jet transversality theorem for regular maps from an affine algebraic manifold to an algebraic manifold satisfying a suitable flexibility condition. It can be co…