4 citations · 4 across the 2 of their papers we have counts for
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The automorphism group of a variety with torus action of complexity one
Ivan Arzhantsev, Juergen Hausen, Elaine Herppich +1
We consider a normal complete rational variety with a torus action of complexity one. In the main results, we determine the roots of the automorphism group and give an explicit des…
On Fano varieties with torus action of complexity one
Elaine Herppich
In this work we provide effective bounds and classification results for rational $\QQ$-factorial Fano varieties with a complexity-one torus action and Picard number one depending o…
Factorially graded rings of complexity one
Juergen Hausen, Elaine Herppich
We consider finitely generated normal algebras over an algebraically closed field of characteristic zero that come with a complexity one grading by a finitely generated abelian gro…
Multigraded Factorial Rings and Fano varieties with torus action
Juergen Hausen, Elaine Herppich, Hendrik Süß
In a first result, we describe all finitely generated factorial algebras over an algebraically closed field of characteristic zero that come with an effective multigrading of compl…