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- Title
Birational rigidity of Fano complete intersections.
- Authors
Pukhlikov, A.
- Abstract
The article discusses the results of expanding Fano complete intersections with a key property of birational rigidity. It says that Fano variety is considered birationally superrigid when rational dominant mapping does not exist, any birational mapping is biregular isomorphism, and the group of birational automorphisms matches the group of biregular automorphisms. It mentions that Fano complete intersection proves to be birationally superrigid if a complete intersection is regular and quadratically regular. It adds that the birational rigidity of complete intersections can be proven under certain genericity assumptions such that Fano intersections satisfy the regularity conditions at each point.
- Subjects
INTERSECTION theory; RATIONAL numbers; GEOMETRIC rigidity; MATHEMATICAL mappings; AUTOMORPHISM groups; ISOMORPHISM (Mathematics); REGULAR functions (Mathematics); GENERALIZED estimating equations; THEORY of distributions (Functional analysis)
- Publication
Doklady Mathematics, 2013, Vol 87, Issue 1, p34
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562413010134