## Factorizations of generic mappings between surfaces

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- by Domenico Luminati
- Proc. Amer. Math. Soc.
**118**(1993), 247-253 - DOI: https://doi.org/10.1090/S0002-9939-1993-1170547-8
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## Abstract:

Given a generic mapping $F:{\mathbf {S}} \to {\mathbf {N}}$ of two smooth (i.e., ${C^\infty }$) real surfaces, ${\mathbf {S}}$ compact, and a line bundle $\pi :{\mathbf {E}} \to {\mathbf {N}}$, we look for necessary and sufficient conditions to find an immersion $\tilde F:{\mathbf {S}} \to {\mathbf {E}}$ such that $F = \pi \circ \tilde F$.## References

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## Bibliographic Information

- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**118**(1993), 247-253 - MSC: Primary 57R42; Secondary 57R45
- DOI: https://doi.org/10.1090/S0002-9939-1993-1170547-8
- MathSciNet review: 1170547