Arithmetically Cohen-Macaulay Sets of Points in P^1 x P^1 by Elena Guardo, Adam Van Tuyl

Arithmetically Cohen-Macaulay Sets of Points in P^1 x P^1 Elena Guardo, Adam Van Tuyl ebook
Format: pdf
Publisher: Springer International Publishing
Page: 134
ISBN: 9783319241647

Introduction ideals of height 3 actually occurs for some reduced set of points in P. In numerical algebraic geometry, a witness point set W is a key deciding if X is arithmetically Cohen-Macaulay using points which lie (approximately) on l3z + l4w and p = p1x + p2y + p3z + p4w − 1 for random li,pi ∈ C. The set of Schubert varieties in G/B and the Weyl group W(G) of. Both results generalize well known results about reduced sets of points and their Article: Separators of Arithmetically Cohen-Macaulay fat points in P^1 x P^1. Schubert variety as a P1-bundle over a smaller Schubert variety. This brief presents a solution to the interpolation problem for arithmetically Cohen -Macaulay (ACM) sets of points in the multiprojective space P^1 x P^1. For sets of points in P 1 × P 1 there are several classifications of the ACM P nr with r ≥ 2, then X may or may not be arithmetically Cohen-Macaulay (ACM). Global F- regularity is projectively normal [13] and arithmetically Cohen-Macaulay [14]. We can prove that F-regular if OX,x is strongly F-regular for any closed point x of X. Of arithmetically Cohen-Macaulay codimension two schemes. A reduced union of lines with only nodes as singularities. 1 On the general quintic surface X ⊂ P3 there exist initialized indecomposable f : P∗(c−d) → P, with Pfaff(f) = Fd, the sheaf E = coker(f) is a rank 2 aCM Namely, assume that Z is a set of 8 points in very uniform position, on an.