V. Shevchishin

activity

20242026

collaborators

3 papers

math.CV2026

The Levi problem over generalized Hirzebruch manifolds

S. Ivashkovych, C. Miebach, V. Shevchishin

We review classical methods to solve the Levi problem in the presence of symmetries, established by Hirschowitz and by Grauert-Remmert-Ueda. We then illustrate these methods by sol…

math.DG2025

Anti-self-dual blowups II

Vsevolod Shevchishin, Gleb Smirnov

Let $X$ be a closed, oriented four-manifold with $b_{2}^{+} \leq 3$ , and suppose $X$ contains a collection of pairwise disjoint embedded $(- 2)$ -spheres. We prove that there is a Rieman…

math.DG2024

Anti-self-dual blowups

Vsevolod Shevchishin, Gleb Smirnov

Let $X$ be a closed, oriented four-manifold containing an embedded sphere with self-intersection number $(- 1)$ . Suppose that $b_{2}^{+} (X) \leq 3$ . We show that there exists a Riemanni…