Composition of ice giants After reading the paper "The Measured Compositions of Uranus and Neptune from their Formation on the CO Ice Line", I was left with doubts which I would like to clarify.

Firstly, the paper proposes that Uranus and Neptune were created in the CO ice line of the Solar System, which explains several of their unusual characteristics (abundant carbon, depleted nitrogen, etc.).

In the paper, an explanation is proposed for the low D/H ratio of Uranus and Neptune, which is not consistent with that of the comets in their neighborhood, which suggests that the water inside them was not accreted from the protosolar nebula:


  Finally, coupling the D/H observations in Uranus and Neptune with our model where only a small fraction of the water present in the planets interiors is of nebular origin, and the rest originating from the transformation of CO into H2O, leads to a higher D/H ratio for the
  proto-ices that formed the planets. The value found is compatible with internal structure models and the
  formation location of the planets in the same region as
  comets.


Instead, water would be created by reacting the accreted CO with the H2 in its atmospheres. In other words, water would be created within them.

According to the paper, the composition of the CO ice line after 100,000 years was mostly CO, while water represented 1.9% of the total composition. This makes me wonder, why was water scarce in the CO ice line? Is water depletion in the CO ice line related to the high abundance of carbon in that zone?

On the other hand, the authors mention that the large amount of carbon-rich solids allowed the creation of the nuclei of these planets:
 


  Since CO is the major C-bearing volatile in the PSN [protosolar nebula], its ice line should be very rich in solids, explaining the origin of the high volumetric density of solids needed to form the planets. The high CO abundance in the building blocks implies that planets forming in this region should be very rich in carbon in bulk.


...


  In this paper we showed how the formation on Uranus and Neptune on CO iceline resolves many issues related
  to these planets. The diffusive redistribution of vapor across the icelines increases the local solids density allowing the formation of these planets from carbon rich
  solids but nitrogen poor gas, and lead to planetary interiors consistent with recent D/H measurements.


But what do the authors mean when they say "carbon-rich solids"? Does this mean that the nuclei of Uranus and Neptune are poor in silicates?

All this makes me think that the nuclei of these planets are similar to the carbon planets, which are believed to be made up of carbides, could this be the case of the nuclei of Uranus and Neptune?

However, the authors considered an environment with C/O ~ 1, but carbon planets are expected to form in environments with C/O > 1. Anyway, I can't think of anything other than carbide when the authors mention "carbon-rich solids"...
There is a few things one has to consider when talking composition:

It is usual to talk about relative abundances, and usually the solar composition is taken as the measure for this in the assumption that its composition is mostly prestine with a few exceptions. Now you can compare observations of different bodies and look at ratios of different materials, say nitrogen vs. carbon.

Now, materials have a different condensation temperature, and that is one of the main points of the paper. In the sun everything is in gas phase and thus has about pristine ratio.

Planets on the other hand form from solids. Thus - assuming a planet forms at distance R from the sun - it forms only from the materials which already solidify at the temperature at the given distance. (This is simplified due to radial mixing in the PPD and planetary migration, but the point is still valid). While the overall chemical composition of the PPD is the same, the chemical composition of the solids is different, the high(er)-temperature condensates are enriched, thus they are also enriched in the planets forming there

Carbon dioxide condenses from gas phase at slightly higher temperature than nitrogen. That means that you enrich the solid phase of the PPD in carbon and oxygen. Planets form from solids and only accrete gas when they have grown sufficiently - a threshold which Uranus and Neptun only barely reached. At the same time the gas of the PPD has to be in pressure eqilibrium, thus a flow towards the condensation zone exist, leading to slightly further enrichment of the condensing matter in the solid fraction - which is only partially balanced by the radial drift of the solids inward where they evaporate again.

In essence, due to different condensation temperatures, and the region the two outer gasous planets formed, they are enriched in carbon when comparing to nitrogen due to carbon dioxide ice condensing in the solar nebular. It doesn't mean that anyone took away the silica nor the water ice in the formation - as such.

I don't find there any support in the paper that the ratio of C/O can be enhanced beyond 1: the most abundant solids are slica, water ice - and the point of the paper at that distance CO which is increasingly enhanced during the formation process due to transport processes of solids and gas and condensation in the vicinity of the CO snowline (see figure 4 therein).