Given a birational projective morphism of quasi-projective varieties f : Z→X . We want to find the ideal sheaf I over X such that the blowing up of X along I corresponds to f . In this paper we approach the problem from two directions, solving two subcases. First we present a method that determines I when f is the composition of blowing ups along known centers, then by another method, we compute I directly from i(Z)⊂ P X n .
We study blowups of affine n-space with center an arbitrary monomial ideal and call monomial ideals that render smooth blowups tame ideals. We give a combinatorial criterion to decide whether the blowup is smooth and apply this criterion to discuss a smoothing procedure proposed by Rosenberg, monomial building sets and permutohedra.
Blunt trauma abdomen rarely leads to gastrointestinal injury in children and isolated gastric rupture is even rarer presentation. We are reporting a case of isolated gastric rupture after fall from height in a three year old male child.