Back to Search
Start Over
The generalized Plücker–Klein map
- Source :
- Izvestiya: Mathematics. 86:291-333
- Publication Year :
- 2022
- Publisher :
- IOP Publishing, 2022.
-
Abstract
- The intersection of two quadrics is called a biquadric. If we mark a non-singular quadric in the pencil of quadrics through a given biquadric, then the given biquadric is called a marked biquadric. In the classical papers of Plücker and Klein, a Kummer surface was canonically associated with every three-dimensional marked biquadric (that is, with a quadratic line complex provided that the Plücker–Klein quadric is marked). In Reid’s thesis, this correspondence was generalized to odd-dimensional marked biquadrics of arbitrary dimension . In this case, a Kummer variety of dimension corresponds to every biquadric of dimension . Reid only constructed the generalized Plücker–Klein correspondence. This map was not studied later. The present paper is devoted to a partial solution of the problem of creating the corresponding theory.
- Subjects :
- Algebra
General Mathematics
Plucker
Mathematics
Subjects
Details
- ISSN :
- 14684810 and 10645632
- Volume :
- 86
- Database :
- OpenAIRE
- Journal :
- Izvestiya: Mathematics
- Accession number :
- edsair.doi...........b751c91fbb6436767dce8d153e968e34