arXiv subjects
Publications and source records attributed to Jebasingh R.
Let $R$ be an affine domain of dimension $d$ over an infinite field, with normalisation $\tilde{R}$ smooth, and let $\mathfrak{c}$ be the conductor. We answer a question of Nori in the affirmative when $R$ is singular only in high codimension.
Motivated by the work of Ischebeck on the behaviour of algebraic $K$-theoretic functors under subintegral extensions, we investigate the analogous question in Hermitian $K$-theory. We prove that Grothendieck-Witt groups in degree zero are invariant under subintegral extensions. We also investigate the cancellation problem for quadratic spaces over geometric subrings of polynomial rings and establish a cancellation theorem for quadratic spaces of sufficiently large Witt index.