Popoviciu Draisma, Mihaela Ileana. Invariants of binary forms. 2014, PhD Thesis, University of Basel, Faculty of Science.
Official URL: http://edoc.unibas.ch/diss/DissB_10835
This thesis is organised as follows.
In Chapter 2 we introduce definitions and notation that will be used throughout this thesis. In Chapter 3 we present the computational methods that we use for finding generating invariants of binary forms. In Chapter 4 we find the generating invariants of binary forms of degree 2,3,...,10, and give explicit systems of parameters in all these cases. In Chapter 5 we review classical results regarding the invariants of several binary forms. We correct a result of Winter on the generating covariants of V_2+V_5 and results of Gundelfinger and Sylvester on the generating covariants of V_3+V_4. In Chapter 6, extending a result of Popov, we classify the modules whose algebras of invariants have homological dimension less than or equal to 15.
|Committee Members:||Weyman, Jerzy|
|Faculties and Departments:||05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Algebra (Kraft)|
|Bibsysno:||Link to catalogue|
|Number of Pages:||212 S.|
|Last Modified:||30 Jun 2016 10:55|
|Deposited On:||01 Jul 2014 12:58|
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