On compactifications of affine homology 3-cells into quadric fibrations

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Abstract

In this paper we deal with compactifications of affine homology 3-cells into quadric fibrations such that the boundary divisors contain fibers. We show that all such affine homology 3-cells are isomorphic to the affine 3-space A3. Moreover, we show that all such compactifications can be connected by explicit elementary links preserving A3 to the projective 3-space P3.

Original languageEnglish
Pages (from-to)1-29
Number of pages29
JournalJournal of Algebra
Volume563
DOIs
Publication statusPublished - Dec 1 2020
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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