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Classes of projectively equivalent quadrics over local rings
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O. A. Starikova
Veröffentlicht/Copyright:
7. Februar 2014
Abstract
We study quadrics and quadratic forms in a projective space over a local ring R = 2R whose maximal ideal is principal and nilpotent. The problem of enumeration of classes of projectively equivalent quadrics is completed for |R* : R*2| = 2; when |R* : R*2| = 4, the problem is solved together with the enumeration problem of classes of projectively congruent quadrics under an additional condition. This research was carried out with the support of the the Russian Foundation for Basic Research (project 12-01-00968) and theMinistry of Education and Science (project 1.34.11).
Published Online: 2014-02-07
Published in Print: 2013-06
© 2014 by Walter de Gruyter GmbH & Co.
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Artikel in diesem Heft
- Masthead
- Distance-regular graph with the intersection array {45, 30, 7; 1, 2, 27} does not exist
- The impact of the growth rate of the packing number of graphs on the computational complexity of the independent set problem
- Traveling salesman polytopes and cut polytopes. Affine reducibility
- Minors of the constraint matrix in multi-index transport problems
- Cycle structure of power mappings in a residue classes ring
- A criterion for the automata realizable functions to be boundedly deterministic
- On the complexity of two-dimensional discrete logarithm problem in a finite cyclic group with effective automorphism of order
- The completeness criterion for some systems containing P-sets of automaton functions
- On the synthesis of circuits admitting complete fault detection test sets of constant length under arbitrary constant faults at the outputs of the gates
- Factorially solvable rings
- Identities with permutations and quasigroups isotopic to groups and to Abelian groups
- Classes of projectively equivalent quadrics over local rings
