English

On the multiplication map of a multigraded algebra

Commutative Algebra 2007-05-23 v2 Algebraic Geometry

Abstract

Given a multigraded algebra AA, it is a natural question whether or not for two homogeneous components AuA_u and AvA_v, the product AnuAnvA_{nu}A_{nv} is the whole component Anu+nvA_{nu+nv} for nn big enough. We give combinatorial and geometric answers to this question.

Cite

@article{arxiv.math/0607819,
  title  = {On the multiplication map of a multigraded algebra},
  author = {Ivan V. Arzhantsev and Juergen Hausen},
  journal= {arXiv preprint arXiv:math/0607819},
  year   = {2007}
}

Comments

Minor changes, 7 pages, to appear in Math. Res. Lett

R2 v1 2026-07-22T17:39:55.944Z