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Pré-Publication, Document De Travail Année : 2015

Methods to compute ring invariants and applications: a new class of exotic threefolds

Résumé

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.
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Dates et versions

hal-01169229 , version 1 (29-06-2015)

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Bachar Alhajjar. Methods to compute ring invariants and applications: a new class of exotic threefolds. 2015. ⟨hal-01169229⟩
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