In algebraic geometry, the Néron model (or Néron minimal model, or minimal model) for an abelian variety AK defined over the field of fractions K of a...

{\displaystyle A} . The Néron model is a smooth group scheme, so we can consider A 0 {\displaystyle A^{0}} , the connected component of the Néron model which contains...

discovered the Néron minimal model of an elliptic curve or abelian variety, the Néron differential, the Néron–Severi group, the Néron–Ogg–Shafarevich...

⁡ R {\displaystyle \operatorname {Spec} R} . It can be extended to a Néron model over Spec ⁡ Z {\displaystyle \operatorname {Spec} \mathbb {Z} } , which...

André Néron, a mathematician, who introduced: Néron minimal model Néron differential Néron–Severi group Néron–Ogg–Shafarevich criterion Néron–Tate height...

polynomial. Néron symbol The Néron symbol is a bimultiplicative pairing between divisors and algebraic cycles on an Abelian variety used in Néron's formulation...

V. Scheme-theoretically, this reduction is just the pullback of the Néron model of V along the canonical map Spec F p {\displaystyle \mathbb {F} _{p}}...

A-algebra. Bosch, Siegfried; Lütkebohmert, Werner; Raynaud, Michel (1990). Néron models. Berlin: Springer-Verlag. p. 191. The original reference is Section 1...

Tate (1975) as an improvement of the description of the Néron model of an elliptic curve by Néron (1964). Assume that all the coefficients of the equation...

refined theory of (in effect) a right adjoint to reduction mod p — the Néron model — cannot always be avoided. In the case of an elliptic curve there is...

more precisely that if A L {\displaystyle {\mathcal {A}}_{L}} is the Néron model of A ( L ) {\displaystyle A_{(L)}} over O L , {\displaystyle {\mathcal...

together with tools from algebraic geometry, including the theory of Néron models. The main idea of Faltings's proof is the comparison of Faltings heights...

numbers there are some such p), the type in the singular fibre of the Néron model is multiplicative, rather than additive. In practice this is the typical...

OCLC 298655850. Bosch, Siegfried; Lütkebohmert, Werner; Raynaud, M. (1990). Néron Models. Berlin, Heidelberg: Springer Berlin Heidelberg. ISBN 978-3-642-51438-8...

reference Siegfried Bosch; Werner Lütkebohmert; Michel Raynaud (1990). Néron Models. Ergebnisse der Mathematik und Ihrer Grenzgebiete. 3. Folge. Vol. 21...

differential graded algebra used in rational homotopy theory. Neron minimal model, algebraic geometry model for abelian varieties over the quotient field of a Dedekind...

her Ph.D. in 2001. Her dissertation, Crystalline Representations and Neron Models, was supervised by Minhyong Kim. She was a postdoctoral researcher at...

defined over a local field or global field. The Néron differential behaves well on the Néron minimal models. For an elliptic curve of the form y 2 + a 1...

Multiplication of Abelian Varieties and its Applications to Number Theory Néron model Birch–Swinnerton–Dyer conjecture Moduli space for abelian varieties Duality...

Caroline Néron (born July 21, 1973) is a Canadian actress, singer and fashion designer (accessories). She has appeared in a number of roles on television...

ring of integers R, consider the Néron model of A, which is a 'best possible' model of A defined over R. This model may be represented as a scheme over...

Tate (1968) used the results of André Néron (1964) to extend it to abelian varieties, and named the criterion after Ogg, Néron and Igor Shafarevich (commenting...

born March 6, 1991) is an American model and actress, best known as the winner of Cycle 13 of America's Next Top Model. Fox graduated from Monarch High...

elliptic curve by C. Chevalley's structure theorem is used in the proof of the Néron–Ogg–Shafarevich criterion. Barsotti, Iacopo (1955a), "Structure theorems...

S2CID 53506862. Bosch, Siegfried; Lütkebohmert, Werner; Raynaud, Michel (1990). Néron Models. doi:10.1007/978-3-642-51438-8. ISBN 978-3-642-08073-9. Deligne, P.;...

projective line over the field R / m . {\displaystyle R/{\mathfrak {m}}.} Néron models for elliptic curves, initially defined over a global field, are examples...

Dauphiné (1782), mentions the Néron range and then the Néron mountain, while maps show the Niéron (1787) or the Néron mountain (1796). Catalogues on...

components (without counting multiplicities) of the singular fibre of the Néron minimal model for E. (This is sometimes used as a definition of the conductor)...

{\displaystyle T(k)_{0}} is defined as the integral points of the Néron lft-model of T {\displaystyle T} . This definition agrees with the previously...

of order 2 to E×C with center 0. Enriques–Kodaira classification Néron minimal model Barth et al. (2004), section V.10, Tables 5 and 6; Cossec and Dolgachev...