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searching for discrete valuation ring 12 found (67 total)

Henselian ring (1,226 words) [view diff] no match in snippet view article find links to article

In mathematics, a Henselian ring (or Hensel ring) is a local ring in which Hensel's lemma holds. They were introduced by Azumaya (1951), who named them

Warfield group (61 words) [view diff] exact match in snippet view article find links to article

(1972), "Classification theorems for p-groups and modules over a discrete valuation ring" (PDF), Bulletin of the American Mathematical Society, 78: 88–92

Valuative criterion (277 words) [view diff] exact match in snippet view article find links to article

(locally) noetherian, it suffices to check the case that A is a discrete valuation ring. EGA II, proposition 7.2.3 and théorème 7.3.8. Stacks Project,

Takeshi Saito (mathematician) (307 words) [view diff] case mismatch in snippet view article

Takeshi (1987). "Vanishing Cycles and Geometry of Curves Over a Discrete Valuation Ring". American Journal of Mathematics. 109 (6): 1043–1085. doi:10.2307/2374585

Artin approximation theorem (497 words) [view diff] exact match in snippet view article find links to article

Artin (1969). Let R {\displaystyle R} be a field or an excellent discrete valuation ring, let A {\displaystyle A} be the henselization at a prime ideal

Chevalley's structure theorem (521 words) [view diff] exact match in snippet view article find links to article

connected component of the closed fiber of a Neron model over a discrete valuation ring is an algebraic group, which is in general neither affine nor proper

Dimension of a scheme (1,254 words) [view diff] exact match in snippet view article find links to article

then dim ⁡ U = dim ⁡ X {\displaystyle \dim U=\dim X} . Let R be a discrete valuation ring and X = A R 1 = Spec ⁡ ( R [ t ] ) {\displaystyle X=\mathbb {A}

Degeneration (algebraic geometry) (596 words) [view diff] exact match in snippet view article

theorem says Let X be a normal irreducible projective scheme over a discrete valuation ring. If the generic fiber is ruled, then each irreducible component

Flat topology (1,101 words) [view diff] exact match in snippet view article find links to article

X we can consider the local ring Rx at this point, which is a discrete valuation ring whose spectrum has one closed point and one open (generic) point

Localized Chern class (766 words) [view diff] exact match in snippet view article find links to article

pure-dimensional regular scheme of finite type over a field or discrete valuation ring and X a closed subscheme. Let E ∙ {\displaystyle E_{\bullet }}

Gopal Prasad (1,799 words) [view diff] exact match in snippet view article find links to article

and Yu determined all the quasi-reductive group schemes over a discrete valuation ring (DVR), [25]. In collaboration with Brian Conrad and Ofer Gabber

Function field sieve (2,658 words) [view diff] exact match in snippet view article find links to article

function field K / F p {\displaystyle K/\mathbb {F} _{p}} , namely a discrete valuation ring F p ⊂ O ⊂ K {\displaystyle \mathbb {F} _{p}\subset O\subset K}