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- Local_parameter abstract "In the geometry of complex algebraic curves, a local parameter for a curve C at a smooth point P is just a meromorphic function on C that has a simple zero at P. This concept can be generalized to curves defined over fields other than (or even schemes), because the local ring at a smooth point P of an algebraic curve C (defined over an algebraically closed field) is always a discrete valuation ring. This valuation will endow us with a way to count the order (at the point P) of rational functions (which are natural generalizations for meromorphic functions in the non-complex realm) having a zero or a pole at P.Local parameters, as its name indicates, are used mainly to properly count multiplicities in a local way.".
- Local_parameter wikiPageID "21309351".
- Local_parameter wikiPageRevisionID "532093416".
- Local_parameter hasPhotoCollection Local_parameter.
- Local_parameter subject Category:Algebraic_geometry.
- Local_parameter subject Category:Commutative_algebra.
- Local_parameter comment "In the geometry of complex algebraic curves, a local parameter for a curve C at a smooth point P is just a meromorphic function on C that has a simple zero at P. This concept can be generalized to curves defined over fields other than (or even schemes), because the local ring at a smooth point P of an algebraic curve C (defined over an algebraically closed field) is always a discrete valuation ring.".
- Local_parameter label "Local parameter".
- Local_parameter sameAs m.05f8rfb.
- Local_parameter sameAs Q6664485.
- Local_parameter sameAs Q6664485.
- Local_parameter wasDerivedFrom Local_parameter?oldid=532093416.
- Local_parameter isPrimaryTopicOf Local_parameter.