academiсian of National Academy of Sciences of Ukraineacademiсian of National Academy of Sciences of Belarus
Professor
Doctor of physico-mathematical sciences (1981)
Speciality:
01.01.06 (Mathematical logic, algebra, and number theory)
Birth date:
9.07.1948
Keywords: linear algebraic groups,
abelian varieties,
Brauer groups of fields and schemes.
UDC: 512.552, 512.558, 512.7, 512.74, 512.75, 512.77, 513.6, 519.48, 523.015, 514.142 MSC: 14Hxx, 14Jxx, 14Kxx, 16H05, 16K20, 19Bxx, 20G15, 20G99, 16K20, 11E10, 11E04
Subject:
The theory of Whitehead groups of spinor (jointly with A. P.Monastyrnyi) and unitary groups is developed. The reciprocity laws in Brauer groups of function fields of curves defined over number fields are described (jointly with V. I. Guletskii). The indicies of hyperelliptic curves defined over $p$-adic fields are computed (jointly with J. van Geel).
Main publications:
Geel J., Yanchevskii V. I. Indices of huperelliptic curves over p-adic fields // Manuscripta Math. Springer-Verlag, 1998, V. 96, p. 317–333.
Guletskii V. I., Yanchevskii V. I. Reciprocity laws for simple algebras over function fields of number curves // Communications in Algebra, 2000, v. 28, no, 4, p. 1657–1683.
Rehmann U., Tikhonov S. V., Yanchevskii V. I. Two-torsion of the Brauer groups of hyperelliptic curves and unramified algebras over their function fields // Communications in Algebra, 2001, v. 29, no. 9, p. 3971–3988.
