8 citations · 8 across the 4 of their papers we have counts for
7 papers
Generalizations of Samuel's criteria for a ring to be a unique factorization domain
Daniel Daigle, Gene Freudenburg, Takanori Nagamine
We give several criteria for a ring to be a UFD including generalizations of some criteria due to P. Samuel. These criteria are applied to construct, for any field k, (1) a Z-grade…
Smooth factorial affine surfaces of logarithmic Kodaira dimension zero with trivial units
Gene Freudenburg, Hideo Kojima, Takanori Nagamine
This paper considers the family of smooth affine factorial surfaces of logarithmic Kodaira dimension 0 with trivial units over an algebraically closed field . Ou…
Factorial rational varieties which admit or fail to admit an elliptic -action
Gene Freudenburg, Takanori Nagamine
Over a field , we study rational UFDs of finite transcendence degree over . We classify such UFDs when , is algebraically closed, and admits a positive $…
Algebraic vector bundles on the 2-sphere and smooth rational varieties with infinitely many real forms
Adrien Dubouloz, Gene Freudenburg, Lucy Moser-Jauslin
We construct smooth rational real algebraic varieties of every dimension 4 which admit infinitely many pairwise non-isomorphic real forms.
The polar group of a real form of an affine or projective -variety
Gene Freudenburg
A general problem is to classify the real forms of a complex variety up to isomorphism. This paper introduces the polar group of a real form of a complex variety as a tool…
On the uniqueness of polynomial embeddings of the real 1-sphere in the plane
Gene Freudenburg
This paper considers real forms of closed algebraic -embeddings in . The classification of such embeddings was recently completed by Cassou-Nogues, Kora…