6533b859fe1ef96bd12b7580

RESEARCH PRODUCT

𝔸1-contractibility of affine modifications

Adrien DuboulozPaul Arne ØStvÌrSabrina Pauli

subject

Pure mathematicsComputer Science::Information RetrievalGeneral Mathematics010102 general mathematicsAstrophysics::Instrumentation and Methods for AstrophysicsZero (complex analysis)Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)01 natural sciencesSuspension (topology)Motivic cohomology0103 physical sciencesComputer Science::General LiteratureFiber bundle010307 mathematical physicsAffine transformation0101 mathematicsAlgebraically closed fieldMathematics

description

We introduce Koras–Russell fiber bundles over algebraically closed fields of characteristic zero. After a single suspension, this exhibits an infinite family of smooth affine [Formula: see text]-contractible [Formula: see text]-folds. Moreover, we give examples of stably [Formula: see text]-contractible smooth affine [Formula: see text]-folds containing a Brieskorn–Pham surface, and a family of smooth affine [Formula: see text]-folds with a higher-dimensional [Formula: see text]-contractible total space.

yearjournalcountryeditionlanguage
2019-10-15International Journal of Mathematics
https://doi.org/10.1142/s0129167x19500691