On Equations Defining Coincident Root Loci

نویسنده

  • JAYDEEP V. CHIPALKATTI
چکیده

We revisit an old problem in classical invariant theory, viz. that of giving algebraic conditions for a binary form to have linear factors with assigned multiplicities. We construct a complex of SL2–representations such that the desired algebraic conditions are expressible as a specific cohomology group of this complex. Mathematics Subject Classification: 14L 30, 16W22

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Root loci design using Dickson's technique

Traditional techniques for determining the root loci were developed by Evans. Given the characteristic equation {1 + ( ) ( ) = 0}, Evans root locus method requires the magnitude of ( ) ( ) to be equal to minus one and is well established for determining the pole locations as the system gains are changed. In this paper, nontraditional techniques for developing the root loci of control systems ar...

متن کامل

Duality of Multiple Root Loci

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 projectively 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 hypersu...

متن کامل

Identification of QTLs associated with seedling root traits and their correlation with plant height in wheat

Genetic relationships between plant height and root morphology were investigated in a diverse set of wheat germplasm [199 double-haploid progeny derived from a cross between Avalon and Cadenza (Triticum aestivum L.), Rht near-isogenic lines (NILs), and accessions from the Watkins Collection] to investigate whether Rht genes controlling shoot height also control seedling root growth. A germinati...

متن کامل

Computing the Canonical Representation of Constructible Sets

In the basic paper defining the Gröbner Cover [16] for discussing parametric polynomial systems of equations, we 8 introduced algorithms that have been improved since then. We used our own algorithm buildtree for computing 9 the initial Comprehensive Gröbner System (CGS), needed for the Gröbner Cover, now substituted in the Singular [7] 10 library “grobcov.lib” by themore efficientKapur–Sun–Wan...

متن کامل

Molecular mapping of quantitative trait loci for drought tolerance in maize plants.

Drought tolerance is one of the most important but complex traits of crops. We looked for quantitative trait loci (QTLs) that affect drought tolerance in maize. Two maize inbreds and their advanced lines were evaluated for drought-related traits. A genetic linkage map developed using RFLP markers was used to identify QTLs associated with drought-related traits. Twenty-two QTLs were detected, wi...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2003