Flop (algebraic geometry)

Flop (algebraic geometry)

In algebraic geometry, a flop is a special sort of birational map between varieties. The first example, known as the Atiyah flop, was found in harv|Atiyah|1958.

ee also

*Flip

References

*Citation | last1=Atiyah | first1=Michael Francis | author1-link=Michael Atiyah | title=On analytic surfaces with double points | id=MathSciNet | id = 0095974 | year=1958 | journal=Proceedings of the Royal Society. London. Series A. Mathematical, Physical and Engineering Sciences | issn=0962-8444 | volume=247 | pages=237–244
* Birkar, C., Cascini, P., Hacon, C., McKernan, J., 'Existence of minimal models for varieties of log general type'.
*Citation | last1=Matsuki | first1=Kenji | title=Introduction to the Mori program | publisher=Springer-Verlag | location=Berlin, New York | series=Universitext | isbn=978-0-387-98465-0 | id=MathSciNet | id = 1875410 | year=2002
* Kollar, J., 'Flips, flops, minimal models, etc.', Surv. In Diff. Geom. 1 (1991), 113–199.
* Kollár, J. and Mori, S., "Birational Geometry of Algebraic Varieties", Cambridge University Press, 1998. ISBN 0-521-63277-3
*David Morrison [http://www.math.ucsb.edu/~drm/lectures/ueno-talk.pdf Flops, flips, and matrix factorization] ]


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