4 papers
A local duality principle for ideals of pure dimension
Johannes Lundqvist
We prove that a certain cohomological residue associated to an ideal of pure dimension is annihilated exactly by the ideal. The cohomological residue is quite explicit and generali…
An explicit calculation of the Ronkin function
Johannes Lundqvist
We calculate the second order derivatives of the Ronkin function in the case of an affine linear polynomial in three variables and give an expression of them in terms of complete e…
An effective uniform Artin-Rees lemma
Johannes Lundqvist
We prove a global uniform Artin-Rees lemma type theorem for sections of ample line bundles over smooth projective varieties. This result is used to prove an Artin-Rees lemma for th…
A local Grothendieck duality theorem for Cohen-Macaulay ideals
J. Lundqvist
We give a new proof of a recent result due to Mats Andersson and Elizabeth Wulcan, generalizing the local Grothendieck duality theorem. It can also be seen as a generalization of a…