Trudy Mat. Inst. Steklov., 1995, Volume 208

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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

1995, Volume 208

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Contents

Number theory, algebra and algebraic geometry

Collection of articles. To seventieth birthday of Academician I. R. Shafarevich

	Igor' Rostislavovich Shafarevich (photo)
	Preface		3
	List of works by I. R. Shafarevich		7
	Ramification filtration of the Galois group of a local field. II V. A. Abrashkin		18
	Birational invariants of integral representations V. E. Voskresenskii		70
	Hilbert pairing on a complete high-dimensional field S. V. Vostokov		80
	Vavilov–Cherenkov radiation and plane quartics M. Kh. Gizatullin		93
	Standard bases and homology. II E. S. Golod		106
	Local heights and Néron pairings Yu. G. Zarhin		111
	On the rationality of three-dimensional Del Pezzo fibrations V. A. Iskovskikh		128
	Toric varieties and flag varieties A. A. Klyachko		139
	Fermat equations over cyclotomic fields V. A. Kolyvagin		163
	Two remarks on Lie algebras with a nonsingular derivation A. I. Kostrikin, M. I. Kuznetsov		186
	The 48-dimensional analogues of the Leech lattice H. Koch		193
	Some explicit calculations in local and global cyclotomic fields L. V. Kuz'min		202
	The Alexander polynomials of plane algebraic curves. II Vik. S. Kulikov		224
	Vector bundles and arithmetical groups. I A. N. Parshin		240
	The existence of good divisors of Fano varieties of coindex 3 Yu. G. Prokhorov		266
	A remark on the theorem of V. A. Iskovskikh and Yu. I. Manin on a three-dimensional quartic A. V. Pukhlikov		278
	Excision in the integral algebraic $K$-theory A. A. Suslin		290
	A smooth model for the punctual Hilbert scheme of a surface A. S. Tikhomirov		318
	Galois cohomologies and the weak approximation for quotient varieties $A^n/G$ V. I. Chernousov		335
	The Hasse principle for Brauer groups of function fields on the products of Severi–Brauer varieties and projective quadrics V. I. Yanchevskii		350