2013, Volume 77, Issue 3

This issue is dedicated to I. R. Shafarevich on his 90th birthday

	Congratulations to Igor Rostislavovich Shafarevich
	Hasse principle for $G$-trace forms E. Bayer-Fluckiger, R. Parimala, J-P. Serre		5
	Ice cream and orbifold Riemann–Roch A. Buckley, M. Reid, S. Zhou		29
	Compactifications of spaces of Landau–Ginzburg models C. Diemer, L. Katzarkov, G. Kerr		55
	The rationality of the moduli spaces of Coble surfaces and of nodal Enriques surfaces I. V. Dolgachev, Sh. Kondo		77
	On the derived category of $\overline{M}_{0,n}$ Yu. I. Manin, M. Smirnov		93
	Sobolev metrics on diffeomorphism groups and the derived geometry of spaces of submanifolds M. Micheli, P. W. Michor, D. Mumford		109
	Elliptic fibrations of maximal rank on a supersingular K3 surface T. Shioda		139
	Homotopy groups as centres of finitely presented groups J. Wu, R. V. Mikhailov		149
	Covering semigroups Vik. S. Kulikov, V. M. Kharlamov		163
	On birational involutions of $\mathbb P^3$ Yu. G. Prokhorov		199