In this paper, we consider the metric packing problem for the commodity graph of disjoint two triangles K3+K3, which is dual to the multiflow feasibility problem for the commodity graph K3 +K3. We prove a strengthening of Karzanov’s conjecture concerning quarter-integral packings by certain bipartite metrics.

We introduce the notion of a K3 spectrum in analogy with that of an elliptic spectrum and show that there are “enough” K3 spectra in the sense that for all K3 surfaces X in a suitable moduli stack of K3 surfaces there is a K3 spectrum whose underlying ring is isomorphic to the local ring of the moduli stack in X with respect to the etale topology, and similarly for the ring of formal functions ...

Let X be a K3 surface which is intersection of three (i.e. a net P) of quadrics in P. The curve of degenerate quadrics has degree 6 and defines a natural double covering of P ramified in this curve which is again a K3. This is a classical example of a correspondence between K3 surfaces which is related with moduli of sheaves on K3’s studied by Mukai. When general (for fixed Picard lattices) X a...

The title isochroman ( 8 ) was synthesized as a suitable substrate for acetoxylation studies leading to an intermediate of type (4), expected to afford, on condensation with diketen, the fungal metabolite "rotiorin" type linear product (1). Cyclocondensation of alcohol (6), obtained by the reduction of ketone (5) with paraform in the presence of anhydrous aluminum chloride afforded the dim...