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D. A. Leonard

4 papers hereh-index 12624 citations58 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author4

Across the 4 of 4 papers where every author was matched, so the position is known.

fields
  • math.AC4

identity via Semantic Scholar / OpenAlex

activity
20122019
most citedIntegral closure of ideals

83 citations · 83 across the 4 of their papers we have counts for

collaborators

4 papers

math.AC2019

Desingularization of function fields

Douglas A. Leonard

This is a self-contained purely algebraic treatment of desingularization of fields of fractions L:=Q(A) of d-dimensional domains of the form \[\mathbf{A}:=\ba…

math.AC2019

Varieties in (P1(Fˉ))n by Elimination and Extension

Douglas A. Leonard

This paper contains a theory of elimination and extension to compute varieties symbolically, based on using {\em coordinates} from (P1(Fˉ))n and disjoint…

math.AC2013

The Qth-power algorithm in characteristic 0

Douglas A. Leonard

The Qth-power algorithm produces a useful canonical P-module presentation for the integral closures of certain integral extensions of P:=F[xn​,...,x1​], a polyonomial ri…

math.AC2012★ 83 cited

Integral closure of ideals

Douglas A. Leonard

The Qth-power algorithm for computing structured global presentations of integral closures of affine domains over finite fields is modified to compute structured presentations of i…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.