# Browse Dissertations and Theses - Mathematics by Contributor "Dutta, Sankar"

• (2006)
In this thesis, we are primarily concerned with problems related to intersection multiplicity originally introduced by Serre. The characteristic p techniques, especially, the use of the Frobenius functor due to Kunz, ...

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• (2007)
Generalized local cohomology is used to study the Canonical Element Conjecture. Among other things, we prove special cases of a more general theorem that hold irrespective of the validity of the Canonical Element Conjecture.

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• (2015-05-14)
This thesis concerns the algebra $C^r(\PC)$ of $C^r$ piecewise polynomial functions (splines) over a subdivision by convex polytopes $\PC$ of a domain $\Omega\subset\R^n$. Interest in this algebra arises in a wide variety ...

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