On Hermite's invariant for binary quintics

Details On Hermite's invariant for binary quintics On Hermite's invariant for binary quintics

2006-10-22

arxiv.org/abs/math/0610639v1

Mathematics

Algebraic Geometry

Scientific paper

The Hermite invariant H is the defining equation for the hypersurface of binary quintics in involution. This paper analyses the geometry and invariant theory of H. We determine the singular locus of this hypersurface and show that it is a complete intersection of a linear covariant of quintics. The projective dual of this hypersurface can be identified with itself via an involution. It is shown that the Jacobian ideal of H is perfect of height two, and we describe its SL_2-equivariant minimal resolution. The last section develops a general formalism for evectants of covariants of binary forms, which is then used to calculate the evectant of H.

Affiliated with

Also associated with

No associations

Rating

On Hermite's invariant for binary quintics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On Hermite's invariant for binary quintics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Hermite's invariant for binary quintics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-577720