Rational Curves on Grassmanians: systems theory, reality, and transversality
Publication Date
2001
Journal or Book Title
Advances in Alegraic Geometry Motivated by Physics
Abstract
We discuss a particular problem of enumerating rational curves on a Grassmannian from several perspectives, including systems theory, real enumerative geometry, and symbolic computation. We also present a new transversality result, showing this problem is enumerative in all characteristics. While it is well-known how this enumerative problem arose in mathematical physics and also its importance to the development of quantum cohomology, it is less known how it arose independently in mathematical systems theory. We describe this second story.
Pages
9-42
Volume
276
Book Series Title
Contemporary Mathematics
Recommended Citation
Sottile, Frank, "Rational Curves on Grassmanians: systems theory, reality, and transversality" (2001). Advances in Alegraic Geometry Motivated by Physics. 123.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/123
Comments
This is a pre-published version harvested from ArXiv.org. The parts of the published version can be viewed at http://books.google.com/books?id=pEXmEUmnuMUC&pg=PA9&lpg=PA9&dq=frank+sottile+Advances+in+Algebraic+Geometry+Motivated+by+Physics&source=bl&ots=jHYD32oj_S&sig=hg1HC-PT_Bl3nhft7aWSsV47-tY&hl=en&ei=kEblTKDCHcL58Ab4xISCDQ&sa=X&oi=book_result&ct=result&resnum=1&ved=0CBMQ6AEwAA#v=onepage&q&f=false