Results 81 to 90 of about 10,279 (192)

Locally nice embeddings in codimension three [PDF]

open access: gold, 1968
John Bryant, C. L. Seebeck
openalex   +1 more source

Some Examples of Gorenstein Liaison in Codimension Three [PDF]

open access: yesarXiv, 2001
Gorenstein liaison seems to be the natural notion to generalize to higher codimension the well-known results about liaison of varieties of codimension~2 in projective space. In this paper we study points in ${\mathbb P}^3$ and curves in ${\mathbb P}^4$ in an attempt to see how far typical codimension~2 results will extend.
arxiv  

Non-Level O-sequences of Codimension 3 and Degree of The Socle Elements [PDF]

open access: yesarXiv, 2005
It is unknown if an Artinian level O-sequence of codimension 3 and type $r (\ge 2)$ is unimodal, while it is known that any Gorenstein O-sequence of codimension 3 is unimodal. We show that some Artinian non-unimodal O-sequence of codimension 3 cannot be level.
arxiv  

On the existence of normal Coulomb frames for two-dimensional immersions with higher codimension [PDF]

open access: yesarXiv, 2009
In this paper we consider the existence and regularity problem for Coulomb frames in the normal bundle of two-dimensional surfaces with higher codimension in Euclidean spaces. While the case of two codimensions can be approached directly by potential theory, more sophisticated methods have to be applied for codimensions greater than two.
arxiv  

On non-Kupka points of codimension one foliations on $\mathbb{P}^3$ [PDF]

open access: yesarXiv, 2015
We study the singular set of a codimension one holomorphic foliations on $\mathbb{P}^3$. We find a local normal form of a codimension two component of the singular set that is not of Kupka type. We also determined the number of non-Kupka points immersed in a codimension two component of the singular set of a codimension one foliation on $\mathbb{P}^3$.
arxiv  

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