On the Alexander-Hirschowitz theorem

DOI10.1016/J.JPAA.2007.09.014zbMATH Open1139.14007arXivmath/0701409OpenAlexW2096735200MaRDI QIDQ2475119

Author name not available (Why is that?)

Publication date: 10 March 2008

Published in: (Search for Journal in Brave)

Abstract: The Alexander-Hirschowitz theorem says that a general collection of $k$ double points in $$ imposes independent conditions on homogeneous polynomials of degree $d$ with a well known list of exceptions. Alexander and Hirschowitz completed its proof in 1995, solving a long standing classical problem, connected with the Waring problem for polynomials. We expose a self-contained proof based mainly on previous works by Terracini, Hirschowitz, Alexander and Chandler, with a few simplifications. We claim originality only in the case $d=3$, where our proof is shorter. We end with an account of the history of the work on this problem.

Full work available at URL: https://arxiv.org/abs/math/0701409

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

This page was built for publication: On the Alexander-Hirschowitz theorem

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2475119)