In earlier papers [Wilson 04, Totaro 04], the S-invariant of a ternary cubic f was interpreted in terms of the curvature of related Riemannian and pseudo-Riemannian metrics â€” this is clarified further in Section 1. In the case when f arises from the cubic form on the second cohomology of a smooth projective threefold with second Betti number three, theâ€¦ (More)

In earlier papers [5,4], the S-invariant of a ternary cubic f was related to the curvature of the level set f = 1 in R 3. In particular, when f arises from the cubic form on the second cohomology of a smooth projective threefold with second Betti number three, the value of the S-invariant is closely linked to the behaviour of this curvature on the openâ€¦ (More)

In earlier papers [5,4], the S-invariant of a ternary cubic f was related to the curvature of the level set f = 1 in R 3. In particular, when f arises from the cubic form on the second cohomology of a smooth projective threefold with second Betti number three, the value of the S-invariant is closely linked to the behaviour of this curvature on the openâ€¦ (More)