Sentence examples for complete intersection from inspiring English sources

Assume that (f1,f2) defines a complete intersection.

If f is a complete intersection the condition is necessary.

More generally, let f1 and f2 be sections of some vector bundles and assume that f1⊕f2 defines a complete intersection.

In previous work we designed an efficient procedure that finds an algebraic sample point for each connected component of a smooth real complete intersection variety.

Our method is also designed in such a way to exploit important particular cases such as complete intersection curves or curves contained in nonsingular surfaces.

If X is reduced, or if the singularities of X are local complete intersection singularities, then ({mathbb {T}}^1 = mathrm{Ext }^1 (Omega ^1_X, {mathcal {O}}_X )).

The philosophy is then that smooth subvarieties of small codimension behave like complete intersections.

Observe that, if (N= n+1), then the above result yields exactly the one of Lefschetz, hence the theorem is sharp in this trivial case (but much weaker for complete intersections of higher codimension).

Subjects were to complete six three-intersection mazes, followed by 6 five-intersection mazes, and 12 seven-intersection mazes.

Many people attribute the problem to the state's modernization of the intersection, completed two years ago.

Although Morgan did not move to the Bankers Trust Building, he did hire Trowbridge & Livingston to build a new, ultrareserved headquarters for the Morgan bank at the southeast corner of the intersection, completed in 1914.