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Algebraic Geometry
Binary Quadratic Form
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Quadratic Involutions on Binary Forms
Quadratic Involutions on Binary Forms,Abdelmalek Abdesselam,Jaydeep Chipalkatti
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Quadratic Involutions on Binary Forms
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Abdelmalek Abdesselam
,
Jaydeep Chipalkatti
There is a classical geometric construction which uses a
binary quadratic form
to define an involution on the space of binary dics. We give a complete characterization of a general class of such involutions which are definable using compound transvectant formulae. We also study the associated varieties of forms which are preserved by such involutions. Along the way we prove a recoupling formula for transvectants, which is used to deduce a
system of equations
satisfied by the coefficients in these involutions.
Published in 2010.
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References
(9)
On the volume conjecture for classical spin networks
(
Citations: 5
)
Abdelmalek Abdesselam
Published in 2009.
Brill–Gordan loci, transvectants and an analogue of the Foulkes conjecture
(
Citations: 7
)
Abdelmalek Abdesselam
,
Jaydeep Chipalkatti
Journal:
Advances in Mathematics  ADVAN MATH
, vol. 208, no. 2, pp. 491520, 2007
The Higher Transvectants are Redundant
(
Citations: 4
)
Abdelmalek Abdesselam
,
Jaydeep Chipalkatti
Published in 2008.
On Hermite's invariant for binary quintics
(
Citations: 3
)
Jaydeep Chipalkatti
Journal:
Journal of Algebra  J ALGEBRA
, vol. 317, no. 1, pp. 324353, 2007
The Algebra of Invariants
(
Citations: 131
)
J. H. Grace
,
A. Young