Geodesic

Number theory, algebra and algebraic geometry

Preface
p. 3-6
List of works by I.\,R.~Shafarevich
p. 7-17
Ramification filtration of the Galois group of a~local field.~II
p. 18-69
Birational invariants of integral representations
p. 70-79
Hilbert pairing on a~complete high-dimensional field
p. 80-92
Vavilov--Cherenkov radiation and plane quartics
p. 93-105
Standard bases and homology.~II
p. 106-110
Local heights and N\'eron pairings
p. 111-127
On the rationality of three-dimensional Del Pezzo fibrations
p. 128-138
Toric varieties and flag varieties
p. 139-162
Fermat equations over cyclotomic fields
p. 163-185
Two remarks on Lie algebras with a~nonsingular derivation
p. 186-192
The 48-dimensional analogues of the Leech lattice
p. 193-201
Some explicit calculations in local and global cyclotomic fields
p. 202-223
The Alexander polynomials of plane algebraic curves.~II
p. 224-239
Vector bundles and arithmetical groups.~I
p. 240-265
The existence of good divisors of Fano varieties of coindex~3
p. 266-277
A~remark on the theorem of V.\,A.~Iskovskikh and Yu.\,I.~Manin on a~three-dimensional quartic
p. 278-289
Excision in the integral algebraic $K$-theory
p. 290-317
A~smooth model for the punctual Hilbert scheme of a~surface
p. 318-334
Galois cohomologies and the weak approximation for quotient varieties $A^n/G$
p. 335-349
The Hasse principle for Brauer groups of function fields on the products of Severi--Brauer varieties and projective quadrics
p. 350-365