Serre's multiplicity conjectures [SEP] named after
Serre's multiplicity conjectures
In mathematics, Serre's multiplicity conjectures, named after Jean-Pierre Serre, are certain purely algebraic problems, in commutative algebra, motivated by the needs of algebraic geometry. Since André Weil's initial definition of intersection numbers, around 1949, there had been a question of how to provide a more flexible and computable theory.
Let "R" be a (Noetherian, commutative) regular local ring and "P" and "Q" be prime ideals of "R". In 1958
- Serre fibration
- Serre group
- Serre's modularity conjecture
- Serre's multiplicity conjectures
- Serre's open image theorem
- Serre's property FA
- Serre relations
- Serre subcategory
- Serre functor
- Serre spectral sequence
- Serre–Swan theorem
- Serre–Tate theorem
- Serre's theorem in group cohomology
- Serre's theorem on affineness
- Serre twist sheaf
- Serre's vanishing theorem
- Thin set in the sense of Serre
See also.