K-stability of Fano threefolds of rank 3 and degree 14
We prove that all general smooth Fano threefolds of Picard rank $3$ and degree $14$ are K-stable, where the generality condition is stated explicitly.
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arXiv subjects
Grigory Belousov
Publications and source records attributed to Grigory Belousov.
Del Pezzo surfaces with four log terminal singularities
We classify del Pezzo surfaces with Picard number is equal to one and with four log terminal singular points.
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Cylinders in del Pezzo surfaces with du Val singularities
We consider del Pezzo surfaces $X$ with du Val singularities. Assume that $X$ has a $-K_X$-polar cylinder and $°X=1$. Let $H$ be an ample divisor. We'll prove that $X$ has a $H$-polar cylinder.
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Real del Pezzo surfaces without points
We consider a real del Pezzo surface without points. We prove that the same surface over complex numbers field $\mathbb{C}$ has Picard number is at least two.
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K-stability of Fano threefolds of rank 4 and degree 24
We prove that all smooth Fano threefolds of rank 4 and degree 24 are K-stable.
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Cylinders in del Pezzo surfaces with du Val singularities
We consider del Pezzo surfaces with du Val singularities. We'll prove that a del Pezzo surface $X$ with du Val singularities has a $-K_X$-polar cylinder if and only if there exist tiger such that the support of this tiger does not contain anti-canonical divisor. Also we classify all del Pezzo surfaces $X$ such that $X$ has not any cylinders.
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Log del Pezzo surfaces with simple automorphism groups
In this paper we consider del Pezzo surfaces with only log terminal singularities admitting an action of a finite simple group.
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The maximal number of singular points on log del Pezzo surfaces
We prove that a del Pezzo surface with Picard number one has at most four singular points.
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