On degenerations of plane Cremona transformations
نویسندگان
چکیده
منابع مشابه
Cremona Transformations, Surface Automorphisms, and Plane Cubics
Every automorphism of the complex projective plane P2 is linear and therefore behaves quite simply when iterated. It is natural to seek other rational complex surfaces—for instance, those obtained from P2 by successive blowing up—that admit automorphisms with more interesting dynamics. Until recently, very few examples with positive entropy seem to have been known (see e.g. the introduction to ...
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In 1883 Kantor' stated and attempted a demonstration of a theorem which asserted that the satisfaction of a system of equations by a certain set of positive integers was sufficient to assure that these integers would represent a planar Cremona transformation. Since then the theorem has been repeated several times in the literature. Recently Coolidge2 attached new significance to the theorem and...
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It is shown that the two sequences of characteristic dimensions of transfinite heterotic string space-time found by El Naschie can be remarkably well accounted for in terms of the arithmetic of self-conjugate homaloidal nets of plane algebraic curves of orders 3 to 20. A firm algebraic geometrical justification is thus given not only for all the relevant dimensions of the classical theory, but ...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2015
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-015-1539-z