A(1)-contractibility of affine modifications

Articolo
Data di Pubblicazione:
2019
Citazione:
A(1)-contractibility of affine modifications / A. Dubouloz, S. Pauli, P.A. Oestvaer. - In: INTERNATIONAL JOURNAL OF MATHEMATICS. - ISSN 0129-167X. - 30:14(2019), pp. 1950069.1-1950069.34. [10.1142/S0129167X19500691]
Abstract:
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 1-contractible 3-folds. Moreover, we give examples of stably 1-contractible smooth affine 4-folds containing a Brieskorn-Pham surface, and a family of smooth affine 3-folds with a higher-dimensional 1-contractible total space.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
A1-contractible smooth affine schemes; Affine modifications; Brieskorn-Pham surfaces; Deformed Koras-Russell threefolds with degenerate fibers; Higher Chow groups; Motivic cohomology; Motivic homotopy theory
Elenco autori:
A. Dubouloz, S. Pauli, P.A. Oestvaer
Autori di Ateneo:
OESTVAER PAUL ARNE ( autore )
Link alla scheda completa:
https://air.unimi.it/handle/2434/860100
Link al Full Text:

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Settori


Settore MAT/03 - Geometria