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Néron
Neron or Néron may refer to: * Neron (DC Comics), a fictional character in the DC Comics' universe. * An alternative name of the Roman Emperor Nero * André Néron, a mathematician, who introduced: ** Néron minimal model ** Néron differential ** Néron–Severi group ** Néron–Ogg–Shafarevich criterion ** Néron–Tate height * Geneviève Néron, a Canadian actress and musician * Néron, Eure-et-Loir, a commune in the Eure-et-Loir department of France * Néron, a village in the commune of Amanlis in the Ille-et-Vilaine department of France, located in the region of Brittany * NOAA's Environmental Real-time Observation Network (NERON), the US Weather Observation Network * ''Néron'' (opera) by Anton Rubinstein See also * Nero (other) Nero (37–68) was '' emperor'' of the '' Roman Empire'' from 54 to 68. Nero may also refer to: People *Any male member of the '' Claudii Nerones'' family of gens Claudia may be called Nero to distinguish them from othe ...
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Geneviève Néron
Geneviève Néron (born 24 July 1974) is a Québécoise actress and musician. Biography Career After studying film and theatre at Cégep de Saint-Jérôme, Néron acted in low-profile stage plays and began to appear on television. She found a broader audience with appearances in the television series ''Virginie'', ''Tribu.com'' and ''Les Invincibles''. She made her breakthrough with programmes for youth, ' and ', receiving a Prix Gémeaux in 2004. Between television appearances, Néron appeared in several films including '' Les Boys 3'', ''Soowitch'' and '' La Moitié gauche du frigo''. She was also in the cast of the mini-series ''Jean Duceppe''. Since 2005 Néron has been touring with her country-rock group, , of which she is the lead vocalist and bass guitarist. Their first album, ''Au nom du countr(i)'', was released in 2008. She wrote most of the songs for their second album, ''Génération Passe-Partout'', in support of which they toured France. Néron was part of the e ...
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André Néron
André Néron (November 30, 1922, La Clayette, France – April 6, 1985, Paris, France) was a French mathematician at the Université de Poitiers who worked on elliptic curves and abelian varieties. He discovered the Néron minimal model of an elliptic curve or abelian variety, the Néron differential, the Néron–Severi group, the Néron–Ogg–Shafarevich criterion, the local height and Néron–Tate height of rational points on an abelian variety over a discrete valuation ring or Dedekind domain, and classified the possible fibers of an elliptic fibration. Life and career He was a student of Albert Châtelet, and his PhD students were Jean-Louis Colliot-Thélène and Gérard Ligozat. He gave invited talks at the International Congress of Mathematicians in 1954 and 1966 . In 1983 the Académie des sciences awarded him the Émile Picard Medal The Émile Picard Medal (or Médaille Émile Picard) is a medal named for Émile Picard awarded every 6 years to an outstanding ...
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Néron–Tate Height
In number theory, the Néron–Tate height (or canonical height) is a quadratic form on the Mordell–Weil group of rational points of an abelian variety defined over a global field. It is named after André Néron and John Tate. Definition and properties Néron defined the Néron–Tate height as a sum of local heights. Although the global Néron–Tate height is quadratic, the constituent local heights are not quite quadratic. Tate (unpublished) defined it globally by observing that the logarithmic height h_L associated to a symmetric invertible sheaf L on an abelian variety A is “almost quadratic,” and used this to show that the limit :\hat h_L(P) = \lim_\frac exists, defines a quadratic form on the Mordell–Weil group of rational points, and satisfies :\hat h_L(P) = h_L(P) + O(1), where the implied O(1) constant is independent of P.Lang (1997) p.72 If L is anti-symmetric, that is 1*L=L^, then the analogous limit :\hat h_L(P) = \lim_\frac converges and satisfies \h ...
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Néron Minimal Model
Neron or Néron may refer to: * Neron (DC Comics), a fictional character in the DC Comics' universe. * An alternative name of the Roman Emperor Nero * André Néron, a mathematician, who introduced: ** Néron minimal model ** Néron differential ** Néron–Severi group In algebraic geometry, the Néron–Severi group of a variety is the group of divisors modulo algebraic equivalence; in other words it is the group of components of the Picard scheme of a variety. Its rank is called the Picard number. It is nam ... ** Néron–Ogg–Shafarevich criterion ** Néron–Tate height * Geneviève Néron, a Canadian actress and musician * Néron, Eure-et-Loir, a commune in the Eure-et-Loir department of France * Néron, a village in the commune of Amanlis in the Ille-et-Vilaine department of France, located in the region of Brittany * NOAA's Environmental Real-time Observation Network (NERON), the US Weather Observation Network * ''Néron'' (opera) by Anton Rubinstein S ...
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Néron Differential
In mathematics, a Néron differential, named after André Néron, is an almost canonical choice of 1-form on an elliptic curve or abelian variety defined over a local field or global field. The Néron differential behaves well on the Néron minimal model Neron or Néron may refer to: *Neron (DC Comics), a fictional character in the DC Comics' universe. * An alternative name of the Roman Emperor Nero * André Néron, a mathematician, who introduced: ** Néron minimal model ** Néron differential ...s. For an elliptic curve of the form : y^2+a_1xy+a_3y=x^3+a_2x^2+a_4x+a_6 the Néron differential is :\frac References * * Elliptic curves {{differential-geometry-stub ...
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Néron–Severi Group
In algebraic geometry, the Néron–Severi group of a variety is the group of divisors modulo algebraic equivalence; in other words it is the group of components of the Picard scheme of a variety. Its rank is called the Picard number. It is named after Francesco Severi and André Néron. Definition In the cases of most importance to classical algebraic geometry, for a complete variety ''V'' that is non-singular, the connected component of the Picard scheme is an abelian variety written :Pic0(''V''). The quotient :Pic(''V'')/Pic0(''V'') is an abelian group NS(''V''), called the Néron–Severi group of ''V''. This is a finitely-generated abelian group by the Néron–Severi theorem, which was proved by Severi over the complex numbers and by Néron over more general fields. In other words, the Picard group fits into an exact sequence :1\to \mathrm^0(V)\to\mathrm(V)\to \mathrm(V)\to 0 The fact that the rank is finite is Francesco Severi's theorem of the base; the ra ...
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Néron–Ogg–Shafarevich Criterion
In mathematics, the Néron–Ogg–Shafarevich criterion states that if ''A'' is an elliptic curve or abelian variety over a local field ''K'' and ℓ is a prime not dividing the characteristic of the residue field of ''K'' then ''A'' has good reduction if and only if the ℓ-adic Tate module ''T''ℓ of ''A'' is unramified. introduced the criterion for elliptic curves. used the results of to extend it to abelian varieties, and named the criterion after Ogg, Néron and Igor Shafarevich Igor Rostislavovich Shafarevich (russian: И́горь Ростисла́вович Шафаре́вич; 3 June 1923 – 19 February 2017) was a Soviet and Russian mathematician who contributed to algebraic number theory and algebraic geometry. ... (commenting that Ogg's result seems to have been known to Shafarevich). References * * * Abelian varieties Elliptic curves Theorems in algebraic geometry Arithmetic geometry {{Abstract-algebra-stub ...
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Néron, Eure-et-Loir
Néron () is a commune in the Eure-et-Loir department in northern France. Population See also *Communes of the Eure-et-Loir department The following is a list of the 365 communes of the Eure-et-Loir department of France. The communes cooperate in the following intercommunalities (as of 2020):Communes of Eure-et-Loir {{EureLoir-geo-stub ...
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Néron (opera)
''Néron'' (''Nero''), is a grand opera in four acts by Anton Rubinstein to a libretto by Jules Barbier, loosely based on the story of the Roman Emperor Nero. Background ''Néron'' has a complex history. It was originally commissioned from the composer by the director of the Paris Opéra, Émile Perrin, in the 1860s. However the opera was never to be performed there. Rubinstein only got around to composing the score in 1875/6. The opera's premiere, in a German translation, was at the Stadttheater am Dammtor in Hamburg on 1 October 1879. The title role was sung by the Heldentenor Hermann Winkelmann, who later achieved prominence as the creator of the title role in Wagner's ''Parsifal''. Its premiere in Russia, on at the Mariinsky Theatre, was in Italian. The first performance of the opera in its original French libretto was at Rouen on 14 February 1894. Roles Synopsis Circo di Corinto, set design for Nerone act 1 scene 1 (1877). Rome, about 60 AD. Act I The house of the co ...
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Amanlis
Amanlis (; br, Amanliz; Gallo: ''Amanli'') is a commune in the department of Ille-et-Vilaine in the region of Brittany in western France. The inhabitants of Amanlis are known as ''Amanlisiens''. The known history of Amanlis dates back to pre-Roman times, when the Riedones or Redones tribe of Gauls inhabited the area. The primary products of Amanlis are agricultural. From the 16th to the mid-19th centuries, it was a center of production of sailcloth made from locally grown hemp. Sites of interest include the parish church Saint-Martin-de-Tours and the Sainte-Anne-des-Bois chapel, which is dedicated to the patron saint of Brittany. Geography Amanlis is located approximately 14 miles southeast of Rennes, the capital of Brittany, at the junction of highways D36 and D37. The town is on the banks of the River Seiche, a tributary of the Vilaine. The countryside is hilly and dotted with farms, orchards and small woods. The largest village in the commune after the town of Amanlis is ca ...
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Nero
Nero Claudius Caesar Augustus Germanicus ( ; born Lucius Domitius Ahenobarbus; 15 December AD 37 – 9 June AD 68), was the fifth Roman emperor and final emperor of the Julio-Claudian dynasty, reigning from AD 54 until his death in AD 68. He was adopted by the Roman emperor Claudius at the age of 13 and succeeded him on the throne. Nero was popular with the members of his Praetorian Guard and lower-class commoners in Rome and its provinces, but he was deeply resented by the Roman aristocracy. Most contemporary sources describe him as tyrannical, self-indulgent, and debauched. After being declared a public enemy by the Roman Senate, he committed suicide at age 30. Nero was born at Antium in AD 37, the son of Gnaeus Domitius Ahenobarbus and Agrippina the Younger, a great-granddaughter of the emperor Augustus. When Nero was two years old, his father died. His mother married the emperor Claudius, who eventually adopted Nero as his heir; when Cla ...
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Nero (other)
Nero (37–68) was '' emperor'' of the '' Roman Empire'' from 54 to 68. Nero may also refer to: People *Any male member of the '' Claudii Nerones'' family of gens Claudia may be called Nero to distinguish them from other clan members * Nero Julius Caesar (6–31 AD), related to some emperors * Gaius Claudius Nero, Roman consul and hero of the Battle of the Metaurus in 207 BC * Nero Hawley (1742–1817), freed slave and soldier in the Continental Army * Franco Nero (born 1941), Italian actor * Peter Nero (born 1934), American pianist and composer *Nero Bellum, lead singer of the musical group Psyclon Nine *Ranjith Premasiri Madalana (died 2009), alias Nero, decorated Sri Lanka Army sniper Places *Nero, Kentucky, United States * Nero, Mozambique * Nero, West Virginia, United States * Nero Island, an uninhabited island in Qikiqtaaluk Region, Nunavut, Canada * Lake Nero, in Yaroslavl Oblast, Russia *''Nero'', the German name for Nerău village, Teremia Mare Commune, Timiș County, ...
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