Invariant curves for birational surface maps
نویسندگان
چکیده
منابع مشابه
Invariant Curves for Birational Surface Maps
We classify invariant curves for birational surface maps that are expanding on cohomology. When the expansion is exponential, the arithmetic genus of an invariant curve is at most one. This implies severe constraints on both the type and number of irreducible components of the curve. In the case of an invariant curve with genus equal to one, we show that there is an associated invariant meromor...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2007
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-07-04162-1