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Simultaneous Zeros Of A System Of Two Quadratic Forms, Nandita Sahajpal
Simultaneous Zeros Of A System Of Two Quadratic Forms, Nandita Sahajpal
Theses and Dissertations--Mathematics
In this dissertation we investigate the existence of a nontrivial solution to a system of two quadratic forms over local fields and global fields. We specifically study a system of two quadratic forms over an arbitrary number field. The questions that are of particular interest are:
- How many variables are necessary to guarantee a nontrivial zero to a system of two quadratic forms over a global field or a local field? In other words, what is the u-invariant of a pair of quadratic forms over any global or local field?
- What is the relation between u-invariants of a …