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A. Pukhlikov

4 papers hereh-index 211.8k citations134 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author4

Across the 4 of 4 papers where every author was matched, so the position is known.

fields
  • math.AG4

identity via Semantic Scholar / OpenAlex

activity
19982004
most citedBirationally rigid Fano cyclic covers

9 citations · 13 across the 3 of their papers we have counts for

collaborators

4 papers

math.AG2004★ 9 cited

Birationally rigid Fano cyclic covers

Aleksandr V. Pukhlikov

We prove birational superrigidity of Fano cyclic covers of index 1 over hypersurfaces in the projective space.

math.AG2003

Birationally rigid varieties with a pencil of Fano double covers. I

Aleksandr V. Pukhlikov

We prove that a general Fano fibration π:V→P1, the fiber of which is a double Fano hypersurface of index 1, is birationally superrigid provided it is sufficie…

math.AG2003★ 4 cited

Birationally rigid Fano varieties

Aleksandr V. Pukhlikov

We give a brief survey of the concept of birational rigidity, from its origins in the two-dimensional birational geometry, to its current state. The main ingredients of the method…

math.AG1998

Essentials of the method of maximal singularities

Aleksandr V. Pukhlikov

A consistent exposition of the arguments and constructions of the method of maximal singularities, the aim of which is to describe birational iso/automorphisms of Fano varieties an…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.