Geometric Methods in Partial Differential Equations
Differential Geometry
2020-09-04 v3
Abstract
We study the interplay between geometry and partial differential equations. We show how the fundamental ideas we use require the ability to correctly calculate the dimensions of spaces associated to the varieties of zeros of the symbols of those differential equations. This brings to the center of the analysis several classical results from algebraic geometry, including the Cayley-Bacharach theorem and some of its variants as Serret's theorem, and the Brill-Noether Restsatz theorem.
Cite
@article{arxiv.1908.11573,
title = {Geometric Methods in Partial Differential Equations},
author = {Ahmed Sebbar and Daniele Struppa and Oumar Wone},
journal= {arXiv preprint arXiv:1908.11573},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1910.12497