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math.AG2001
On Waring's problem for several homogeneous forms
Enrico Carlini, Jaydeep Chipalkatti
We reconsider the classical problem of representing a finite number of forms of degree d in n+1 variables as sums of powers of linear forms. We define a geometric construct called…
math.AG2001
On equations defining coincident root loci
Jaydeep V Chipalkatti
We study the problem of specifying algebraic conditions on the coefficients of a binary form, so that it may have roots with preassigned multiplicities.
math.AG2001
Decomposable Ternary Cubics
Jaydeep V. Chipalkatti
Cubic forms in three variables are parametrised by points of . We study the subvarieties in this space defined by decomposable forms. Specifically, we calculate the equivarian…