In algebraic geometry, the smooth completion (or smooth compactification) of a smooth affine algebraic curve X is a complete smooth algebraic curve which contains X as an open subset.[1] Smooth completions exist and are unique over a perfect field.
algebraic geometry, the smoothcompletion (or smooth compactification) of a smooth affine algebraic curve X is a complete smooth algebraic curve which contains...
algebraic geometry, a smooth scheme over a field is a scheme which is well approximated by affine space near any point. Smoothness is one way of making...
not smooth, see Geometrically regular ring#Examples. Étale morphism Dimension of an algebraic variety Glossary of scheme theory Smoothcompletion Hartshorne...
is almost always assumed that a non-singular model (also called a smoothcompletion), equivalent in the sense of birational geometry, is meant. To be...
hypersurface is also a smooth manifold, and is called a hypersphere or an (n – 1)-sphere. A hypersurface that is a smooth manifold is called a smooth hypersurface...
birationally equivalent to a variety whose projective completion is nonsingular (see also smoothcompletion). It was solved in the affirmative in characteristic...
in C 2 {\displaystyle \mathbb {C} ^{2}} . The Bolza surface is the smoothcompletion of the affine curve. Of all genus 2 {\displaystyle 2} hyperbolic surfaces...
the New York Clearing House has concentrated on facilitating the smoothcompletion of financial transactions by clearing the payments. The clearing process...
Amodal completion is the ability to see an entire object despite parts of it being covered by another object in front of it. It is one of the many functions...
protester sustained a gunshot wound; the gunman was arrested. The smoothcompletion of the 2 February election did not resolve Thailand's political situation...
the model. The theoretical structure may vary from information on the smoothness of results, to models that need only parameter values from data or existing...
“interactional glitches,” involuntary missteps that interfere with the smoothcompletion of a joint task. 1979 – (with E. Byarushengo and L.M. Hyman) Haya...
early 1990s as one half of the critically acclaimed group Pete Rock & CL Smooth. Early on in his career, he was also famed for his remix work. After the...
group containing a homomorphic image of M ". This is known as the "group completion of a semigroup" or "group of fractions of a semigroup". In the language...
projective varieties are the finiteness constraints on sheaf cohomology. For smooth projective varieties, Serre duality can be viewed as an analog of Poincaré...
point of inflection, flex, or inflection (rarely inflexion) is a point on a smooth plane curve at which the curvature changes sign. In particular, in the case...
notion of curve. If X {\displaystyle X} is a smooth manifold, a smooth curve in X {\displaystyle X} is a smooth map γ : I → X {\displaystyle \gamma \colon...
enamel rods, the different triangular patterns between pit and fissure and smooth-surface caries develop in the enamel because the orientation of enamel rods...
primarily used in the building and construction industry. It is used to smooth out fluctuations in reported revenue due to contracts that take a long time...
to the above-mentioned age-worn condition of the bridge, hindering the smooth flow of traffic. Moreover, if the deterioration of the preexisting bridge...
link to create the temporary subpage. Please mention the rewrite upon completion on this article's discussion page. Simply modifying copyrighted text is...
for his brother, whose construction company is in debt after missing a completion date on a project; fears grow as Lieutenant Hunter fails to report for...
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