N. Konovalov

activity

20172024

collaborators

5 papers

math.AG2024

On the automorphism groups of smooth Fano threefolds

Nikolay Konovalov

Let $X$ be a smooth Fano threefold over the complex numbers of Picard rank $1$ with finite automorphism group. We give numerical restrictions on the order of the automorp…

math.AT2023

Algebraic Goodwillie spectral sequence

Nikolay Konovalov

Let $s L$ be the $\infty$ -category of simplicial restricted Lie algebras over $F = F_{p}$ , the algebraic closure of a finite field $\ma…

math.AT2022

Koszul duality for simplicial restricted Lie algebras

Nikolay Konovalov

Let $s_{0} Lie^{r}$ be the category of $0$ -reduced simplicial restricted Lie algebras over a fixed perfect field of positive characteristic $p$ . We prove that there is…

math.AG2022

A Division Theorem for Nodal Projective Hypersurfaces

Nikolay Konovalov

Let $V_{n, d}$ be the variety of equations for hypersurfaces of degree $d$ in $P^{n} (C)$ with singularities not worse than simple nodes. We prove that the orbit map…

math.AT2017

Topology of spaces of regular sections and applications to automorphism groups

Alexey Gorinov, Nikolay Konovalov

Let $G$ be a complex connected reductive algebraic group that acts on a smooth complex algebraic variety $X$ , and let $E$ be a $G$ -equivariant algebraic vector bundle over $X$ . A s…