All Items 2 Collection 1 The Octagon 2 Contributor 4 Cox, David A. (Department of Mathematics and Statistics, Amherst College) 2 Iarrobino, Anthony A. (Anthony Ayers), 1943- (Department of Mathematics, Northeastern University) 1 Little, John B. (Department of Mathematics and Computer Science, College of the Holy Cross) 1 O'Shea, Donal (President, New College of Florida) 1 Topic 3 Commutative algebra 2 Geometry, Algebraic 2 Academic writing 1 Part Of 1 The Amherst College Octagon 2 Genre 1 Articles 2 Subject 3 Commutative algebra 2 Geometry, Algebraic 2 Academic writing 1 The story of ideals, varieties and algorithms Cox, David A. (Department of Mathematics and Statistics, Amherst College) This expository article tells the story of how the book "Ideals, Varieties and Algorithms" came to be written. The story of ideals, varieties and algorithms Strata of rational space curves Cox, David A. (Department of Mathematics and Statistics, Amherst College) The μ-invariant image of a rational space curve gives important information about the curve. In this paper, we describe the structure of all parameterizations that have the same μ-type, what we call a μ-stratum, and as well the closure of strata. Many of our results are based on papers by the second author that appeared in the commutative algebra literature. We also present new results, including an explicit formula for the codimension of the locus of non-proper parametrizations within each μ-stratum and a decomposition of the smallest μ-stratum based on which two-dimensional rational normal scroll the curve lies on. Strata of rational space curves
