Item Details

title

Nonnegative Polynomials, Sums of Squares and the Cayley-Bacharach Theorem

author

Henderson, Kenneth Terrell

abstract

It is a difficult problem to prove that a polynomial only takes non-negative values. One way to certify that a polynomial is non-negative is to express it as a sum of squares, however not all non-negative polynomials can be written as a sum of squares. The fundamental reason that there exist non-negative polynomials that cannot be written as sums of squares is that these polynomials satisfy linear inequalities that arise from linear relations known as the Cayley-Bacharach relations.

subject

Algebraic Geometry

Commutative Algebra

contributor

Moore, William F (committee chair)

Kirkman, Ellen (committee member)

Robinson, Stephen (committee member)

date

2016-05-21T08:35:49Z (accessioned)

2016-05-21T08:35:49Z (available)

2016 (issued)

degree

Mathematics (discipline)

identifier

http://hdl.handle.net/10339/59310 (uri)

language

en (iso)

publisher

Wake Forest University

type

Thesis