- Algebraic curves from function fields
- A tutorial on AG code construction from a Grobner basis perspective, Linz, 2006
- A tutorial on AG code decoding from a Grobner basis perspective, Linz, 2006
- A weighted module view of integral closures of affine domains of type I, Advances in Mathematics of Communication, Feb. 2009, 1-11.
- Addendum to a weighted module view of integral closures of affine domains of type I.
- MAGMA implementation of the q-th power algorithm
- MACAULAY2 implementation of the qth power algorithm, as of January 25,2013
- Paper justifying lifting results of the qth-power algorithm from Z_q to Q
- example of the q-th power algorithm with two free variables and a larger than expected module generating set
- example of the q-th power algorithm with one free variable with minimization
- further generic example of the q-th power algorithm in one free variable with minimization
- example of the q-th power algorithm (simple second tower example)
- Using Groebner bases to investigate flag algebras and association scheme fusion , Linz, 2006
- PDF of overview of the following examples from my point of view of the state of various integral closure implementations.
- PDF of why weights matter from my point of view of the state of various integral closure implementations.
- LaTeX of Hermitian example from my point of view of the state of various integral closure implementations.
- PDF of Hermitian example from my point of view of the state of various integral closure implementations.
- LaTeX of Singular 3.7.3 example from my point of view of the state of various integral closure implementations.
- PDF of Singular 3.7.3 example from my point of view of the state of various integral closure implementations.
- LaTeX of a generic curve example from my point of view of the state of various integral closure implementations.
- PDF of a generic example from my point of view of the state of various integral closure implementations.
- LaTeX of an example for reconstructing rational coefficients from my point of view of the state of various integral closure implementations.
- PDF of an example for reconstructing rational coefficients from my point of view of the state of various integral closure implementations.
- LaTeX of modular curve example in Normalisation documentation from my point of view of the state of various integral closure implementations.
- PDF of modular curve example in Normalisation documentation from my point of view of the state of various integral closure implementations.
- LaTeX of sixth example from my point of view of the state of various integral closure implementations.
- PDF of sixth example from my point of view of the state of various integral closure implementations.
- LaTeX of my 2009 AMC paper example from my point of view of the state of various integral closure implementations.
- PDF of my 2009 AMC paper example from my point of view of the state of various integral closure implementations.
- LaTeX of example 3.67 from Vasconcelas from my point of view of the state of various integral closure implementations.
- PDF of example 3.67 from Vasconcelas from my point of view of the state of various integral closure implementations.
- LaTeX of ninth example from my point of view of the state of various integral closure implementations. A reducible example
- PDF of ninth example from my point of view of the state of various integral closure implementations. A reducible example
- LaTeX of two non-integral examples with units from my point of view of the state of various integral closure implementations.
- PDF of two non-integral examples with units from my point of view of the state of various integral closure implementations.
- PDF of example 2.3 from Singh and Swanson's 2009 paper from my point of view of the state of various integral closure implementations.
- LaTeX of simple examples of integral closures of ideals using local monomial orderings.
- PDF of simple examples of integral closures of ideals using local monomial orderings.
- LaTeX of an example of integral closures of ideals wherein it is not obvious from a global ordering how many levels of the Rees algebra are important.
- PDF of an example of integral closures of ideals wherein it is not obvious from a global ordering how many levels of the Rees algebra are important.

Douglas Leonard

114 Allison Lab

Department of Mathematics and Statistics

Auburn University

Auburn, Alabama 36849-5307

(334) 844-3643