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math.AG2004
Brill-Gordan Loci, Transvectants and an Analogue of the Foulkes Conjecture
Abdelmalek Abdesselam, Jaydeep Chipalkatti
Combining a selection of tools from modern algebraic geometry, representation theory, the classical invariant theory of binary forms, together with explicit calculations with hyper…
math.AG2004★ 1 cited
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…
math.AG2004
A regularity result for a locus of Brill type
Abdelmalek Abdesselam, Jaydeep Chipalkatti
Let n,d be positive integers, with d even (say d=2e). Let X_(n,d) denote the locus of degree d hypersurfaces in P^n which consist of two e-fold hyperplanes. We bound the regularity…