Publications
2018
Chow motives of abelian type over a base
Guletskiĭ, V. (2018). Chow motives of abelian type over a base. European Journal of Mathematics, 4, 1065-1086. doi:10.1007/s40879-018-0270-9
The tangent space to the space of 0-cycles
Guletskii, V. (2018). The tangent space to the space of 0-cycles. Retrieved from http://arxiv.org/abs/1803.02907v1
ALGEBRAIC CYCLES ON QUADRIC SECTIONS OF CUBICS IN P-4 UNDER THE ACTION OF SYMPLECTOMORPHISMS (vol 59, pg 377, 2016)
Guletskii, V., & Tikhomirov, A. (2018). ALGEBRAIC CYCLES ON QUADRIC SECTIONS OF CUBICS IN P<SUP>4</SUP> UNDER THE ACTION OF SYMPLECTOMORPHISMS (vol 59, pg 377, 2016). PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 61(1), 177. doi:10.1017/S0013091517000505
2016
Motivic obstruction to rationality of a very general cubic hypersurface in $\mathbb P^5$
Guletskii, V. (2016). Motivic obstruction to rationality of a very general cubic hypersurface in $\mathbb P^5$. Retrieved from http://arxiv.org/abs/1605.09434v3
Symmetric powers in abstract homotopy categories
Gorchinskiy, S., & Guletskii, V. (2016). Symmetric powers in abstract homotopy categories. Advances in Mathematics, 292, 707-754. doi:10.1016/j.aim.2016.01.011
𝔸^1-connectivity on Chow monoids versus rational equivalence of algebraic cycles
Guletskii, V. (2016). 𝔸^1-connectivity on Chow monoids versus rational equivalence of algebraic cycles. European Journal of Mathematics, 2(1), 169-195. doi:10.1007/s40879-015-0085-x
2014
Étale monodromy and rational equivalence for 1-cycles on cubic hypersurfaces in P5
Banerjee, K., & Guletskii, V. (2020). Étale monodromy and rational equivalence for 1-cycles on cubic hypersurfaces in P5. Matematicheskii Sbornik, 211(2), 3-45. doi:10.4213/sm9240
2011
ALGEBRAIC CYCLES ON QUADRIC SECTIONS OF CUBICS IN P<SUP>4</SUP> UNDER THE ACTION OF SYMPLECTOMORPHISMS
Guletskii, V., & Tikhomirov, A. (2016). ALGEBRAIC CYCLES ON QUADRIC SECTIONS OF CUBICS IN P<SUP>4</SUP> UNDER THE ACTION OF SYMPLECTOMORPHISMS. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 59(2), 377-392. doi:10.1017/S0013091515000176
Positive model structures for abstract symmetric spectra
Gorchinskiy, S., & Guletskii, V. (2018). Positive model structures for abstract symmetric spectra. Applied Categorical Structures: a journal devoted to applications of categorical methods in algebra,, 26, 29-46. doi:10.1007/s10485-016-9480-9
2010
Non-trivial elements in the Abel-Jacobi kernels of higher dimensional varieties
Gorchinskiy, S., & Guletskii, V. (2010). Non-trivial elements in the Abel-Jacobi kernels of higher dimensional varieties. Adv. Math., 241 (2013) 162 - 191. Retrieved from http://arxiv.org/abs/1009.1431v3
Transcendence degree of zero-cycles and the structure of Chow motives
Gorchinskiy, S., & Guletskii, V. (2010). Transcendence degree of zero-cycles and the structure of Chow motives. no., 2, 559-568. Retrieved from http://arxiv.org/abs/1009.1434v2
2008
Motives and representability of algebraic cycles on threefolds over a field
Gorchinskiy, S., & Guletskii, V. (2008). Motives and representability of algebraic cycles on threefolds over a field. J. Algebraic Geom., 21, no. 2 (2012), 347-373. Retrieved from http://arxiv.org/abs/0806.0173v3
2006
On the continuous part of codimension two algebraic cycles on threefolds over a field
Guletskii, V. (2009). On the continuous part of codimension two algebraic cycles on threefolds over a field. Sbornik: Mathematics, Volume(Number), 17-30. doi:10.1070/SM2009v200n03ABEH003998
Zeta functions in triangulated categories
Guletskii, V. (2006). Zeta functions in triangulated categories. Retrieved from http://arxiv.org/abs/math/0605040v1
2003
Finite dimensional objects in distinguished triangles
Guletskii, V. (2003). Finite dimensional objects in distinguished triangles. Journal of Number Theory 119 (1) (2006) 99 - 127. Retrieved from http://arxiv.org/abs/math/0306297v1
Finite dimensional motives and the Conjectures of Beilinson and Murre
Guletskii, V., & Pedrini, C. (2003). Finite dimensional motives and the Conjectures of Beilinson and Murre. K-Theory 550 (3) (2003) 243 - 263. Retrieved from http://arxiv.org/abs/math/0303170v1
2002
The Chow motive of the Godeaux surface
Guletskii, V., & Pedrini, C. (2002). The Chow motive of the Godeaux surface. In Algebraic Geometry: A Volume in Memory of Paolo Francia (pp. 179-195). Berlin - New York: de Gruyter.
2001
2-torsion of the Brauer group of an elliptic curve: generators and relations
Chernousov, V., & Guletskii, V. (2001). 2-torsion of the Brauer group of an elliptic curve: generators and relations. Documenta Mathematica, 2001, 85-120. Retrieved from http://www.math.uiuc.edu/documenta/lsu/chernousov-guletski.pdf
The middle of a diagonal for surfaces with the invariants p_g=0 and q=1
Guletskii, V. (2001). The middle of a diagonal for surfaces with the invariants p_g=0 and q=1. St. Petersburg Mathematical Journal, 13(3), 427-440.
2000
Reciprocity laws for simple algebras over function fields of number curves
Guletskiǐ, V. I., & Yanchevskiǐ, V. I. (2000). Reciprocity laws for simple algebras over function fields of number curves. Communications in Algebra, 28(4), 1657-1683. doi:10.1080/00927870008826921