Polyakov Vladimir Mikhailovich

Publications in Math-Net.Ru

1. Reidemeister torsion for vector bundles on $\mathbb{P}^1_\mathbb{Z}$
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 30:1 (2024),  156–169
2. Bundles on $\mathbb{P}^1_\mathbb{Z}$ of rank $3$ and non-degenerate sections of bundles of rank $2$
   
   Zap. Nauchn. Sem. POMI, 523 (2023),  135–146
3. Rank $2$ vector bundles on $\mathbb{P}^1_{\mathbb{Z}}$ and quadratic forms
   
   Zap. Nauchn. Sem. POMI, 523 (2023),  121–134
4. Higher criteria for the regularity of a one-dimensional local field
   
   Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 9:2 (2022),  229–244
5. Finiteness of the number of classes of vector bundles on $\mathbb{P}^1_{\mathbb{Z}}$ with jumps of height $2$
   
   Zap. Nauchn. Sem. POMI, 511 (2022),  137–160
6. The structure of formal modules as Galois modules in cyclic unramified $p$-extensions
   
   Zap. Nauchn. Sem. POMI, 500 (2021),  37–50
7. Coleman norm and trace operators for polynomial formal groups
   
   Chebyshevskii Sb., 20:3 (2019),  361–371