CORDIS Project
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SIPOCAG explores singularities in positive-characteristic algebra through the Frobenius morphism and its implications on ring properties. The project aims to bridge the gap between arc/jet schemes and standard singularities, enhancing understanding in commutative algebra.
SIPOCAG aims to understand and classify singularities occurring in positive-characteristic from two points of view:
First, to understand the indecomposable summands arising via the Frobenius morphism of a ring or a variety, and second, to understand the relation between the theory of arc/jet schemes and the "standard" singularities of positive-characteristic commutative algebra.
Towards the first objective, given a ring R in characteristic p, one obtains a new module by restricting scalars along…
BCAM - BASQUE CENTER FOR APPLIED MATHEMATICS
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