Duality of Multiple Root Loci and Its Applications
- Title
- Duality of Multiple Root Loci and Its Applications
- Authors
- 이황래
- Date Issued
- 2016
- Publisher
- 포항공과대학교
- Abstract
- The multiple root loci among univariate polynomials of degree n are indexed by partitions of n. We study these loci and their conormal varieties. The pro- jectively dual varieties are joins of such loci where the partitions are hooks. Our emphasis lies on equations and parametrizations that are useful for Euclidean distance optimization. We compute the ED degrees for hooks. Among the dual hypersurfaces are those that demarcate the set of binary forms whose real rank equals the generic complex rank.
- URI
- http://postech.dcollection.net/jsp/common/DcLoOrgPer.jsp?sItemId=000002294944
https://oasis.postech.ac.kr/handle/2014.oak/92940
- Article Type
- Thesis
- Files in This Item:
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