13 citations · 37 across the 8 of their papers we have counts for
8 papers
On maximally non-factorial nodal Fano threefolds
Ivan Cheltsov, Igor Krylov, Jesus Martinez-Garcia +1
We classify non-factorial nodal Fano threefolds with node and class group of rank .
-inequality for points and applications to birational rigidity
Igor Krylov, Takuzo Okada, Erik Paemurru +1
The -inequality for smooth points plays an important role in the proofs of birational (super)rigidity. The main aim of this paper is to generalize such an inequality to term…
Families of embeddings of the alternating group of rank 5 into the Cremona group
Igor Krylov
I study embeddings of alternating group of rank five into the Cremona group of rank three. I find all embeddings induced by A_5-del Pezzo fibrations and I study their conjugacy. As…
Stability of fibrations over one-dimensional bases
Hamid Abban, Maksym Fedorchuk, Igor Krylov
We introduce and study a new notion of stability for varieties fibered over curves, motivated by Kollár's stability for homogeneous polynomials with integral coefficients. We devel…
Birational rigidity of orbifold degree 2 del Pezzo fibrations
Hamid Abban, Igor Krylov
Varieties fibered into del Pezzo surfaces form a class of possible outputs of the minimal model program. It is known that del Pezzo fibrations of degrees and over the proje…
Stable rationality of del Pezzo fibrations of low degree over projective spaces
Igor Krylov, Takuzo Okada
The main aim of this article is to show that a very general 3-dimensional del Pezzo fibration of degree 1,2,3 is not stably rational except for a del Pezzo fibration of degree 3 be…
Birational geometry of del Pezzo fibrations with terminal quotient singularities
Igor Krylov
Del Pezzo fibrations appear as minimal models of rationally connected varieties. The rationality of smooth del Pezzo fibrations is a well studied question but smooth fibrations are…
Rationally connected non-Fano type varieties
Igor Krylov
Varieties of Fano type are very well behaved with respect to MMP, and they are known to be rationally connected. We study the relation between classes of rationally connected varie…