Vector bundle theory in algebraic geometry examines algebraic families of vector spaces parametrised over the points of algebraic varieties, extending familiar notions such as tangent bundles and line ...
How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of the recent work by ...
Algebraic structures in singularity theory provide a rigorous framework for classifying and analysing points at which algebraic varieties fail to be smooth. Central to this endeavour are local ...
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