Methods to compute ring invariants and applications: a new class of exotic threefolds
Commutative Algebra
2015-06-30 v1
Abstract
We develop some methods to compute the Makar-Limanov and Derksen invariants, isomorphism classes and automorphism groups for k-domains B, which are constructed from certain Russell k-domains. We propose tools and techniques to distinguish between k-domains with the same Makar-Limanov and Derksen invariants. In particular, we introduce the exponential chain associated to certain modifications. We extract C-domains from the class B that have smooth contractible factorial Spec(B), which are diffeomorphic to R 6 but not isomorphic to C 3, that is, exotic C 3. We examine associated exponential chains to prove that exotic threefolds Spec(B) are not isomorphic to Spec(R), for any Russell C-domain R.
Keywords
Cite
@article{arxiv.1506.08522,
title = {Methods to compute ring invariants and applications: a new class of exotic threefolds},
author = {Bachar Alhajjar},
journal= {arXiv preprint arXiv:1506.08522},
year = {2015}
}