Top-stable and layer-stable degenerations and hom-order

Shifts of the stable Kneser graphs and hom-idempotence

A graph G is said to be hom-idempotent if there is a homomorphism from G2 to G, and weakly hom-idempotent if for some n ≥ 1 there is a homomorphism from Gn+1 to Gn. Larose et al. (1998) proved that Kneser graphs KG(n, k) are not weakly hom-idempotent for n ≥ 2k + 1, k ≥ 2. For s ≥ 2, we characterize all the shifts (i.e., automorphisms of the graph that map every vertex to one of its neighbors) ...

Semi-stable Degenerations and Period Spaces for Polarized K3 Surfaces

Modular compactifications of moduli spaces for polarized K3 surfaces are constructed using the tools of logarithmic geometry in the sense of Fontaine and Illusie. The relationship between these new moduli spaces and the classical minimal and toroidal compactifications of period spaces are discussed, and it is explained how the techniques of this paper yield models for the latter spaces over num...

On Some Explicit Semi-stable Degenerations of Toric Varieties

We study semi-stable degenerations of toric varieties determined by certain partitions of their moment polytopes. Analyzing their defining equations we prove a property of uniqueness.

Relative Compactness and Product Stable Quotient Maps

Stable First Order

We propose a novel first order, local equilibrium approach to special relativistic dissipative hydrodynamics. Using a particular separation of internal and flow energies we remove all known instabilities of the linear response approximation. This result provides a stable inclusion of heat conductivity into the description of first order viscous relativistic fluids.