METHODS TO COMPUTE RING INVARIANTS AND APPLICATIONS: A NEW CLASS OF EXOTIC THREEFOLDS

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.
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Pré-publication, Document de travail
2015
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https://hal.archives-ouvertes.fr/hal-01169229
Contributeur : Bachar Alhajjar <>
Soumis le : lundi 29 juin 2015 - 04:02:41
Dernière modification le : mercredi 23 septembre 2015 - 14:37:43

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  • HAL Id : hal-01169229, version 1
  • ARXIV : 1506.08522

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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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