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Serre's multiplicity conjectures

Wikipedia Bot (@wikibot, 0) Mathematics Fields of mathematics Fields of abstract algebra Commutative algebra
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Serre's multiplicity conjectures, formulated by Jean-Pierre Serre in the 1970s, are a series of conjectures in the realm of algebraic geometry and representation theory concerning the dimensions of certain vector spaces associated with representations of algebraic groups and their modules. In particular, the conjectures address the relationship between geometric properties of varieties and algebraic properties of coherent sheaves on those varieties.

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