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On the Wronskian combinants of binary forms
Abdelmalek Abdesselam, Jaydeep Chipalkatti
For generic binary forms of order we construct a class of combinants $C = \{\C_q: 0 \le q \le r, q \neq 1\}$, to be called the Wronskian combinants of the .…
Apolar schemes of algebraic forms
Jaydeep Chipalkatti
This is a note on the classical Waring's problem for several homogeneous forms. For positive integers (n,d,r,s), fix a general r-dimensional subspace of degree d forms in n+1 varia…
The bipartite Brill-Gordan locus and angular momentum
Abdelmalek Abdesselam, Jaydeep Chipalkatti
This paper is a sequel to math.AG/0411110. Let P denote the projective space of degree d forms in n+1 variables. Let e denote an integer < d/2, and consider the subvariety X of for…
On the invariant theory of the Bezoutiant
Jaydeep V. Chipalkatti
We study the classical invariant theory of the Bezoutiant R(A,B) of a pair of binary forms A,B. It is shown that R(A,B) admits a Taylor expansion whose coefficients are (essentiall…
The Waring loci of ternary quartics
Jaydeep Chipalkatti
Let F denote a homogeneous degree 4 polynomial in 3 variables, and let s be an integer between 1 and 5. We would like to know if F can be written as a sum of fourth powers of s lin…
On parameter spaces for artin level algebras
J. V. Chipalkatti, A. V. Geramita
The set of all artin level quotients of a polynomial algebra in n variables having specified socle degree and type admits a parameter space. It is in fact a quasiprojective variety…