Brody curves and mean dimension

DOI DOI PDF PDF 3 Citations 22 References

Description

<p>We study the mean dimensions of the systems of Brody curves. In particular we give the formula of the mean dimension of the system of Brody curves in the Riemann sphere. A key notion is a non-degeneracy of Brody curves introduced by Yosida (1934). We develop a deformation theory of non-degenerate Brody curves and apply it to the calculation of the mean dimension. Moreover we show that there are sufficiently many non-degenerate Brody curves by using the method of gluing infinitely many rational curves.</p>

Journal

Citations (3)*help

See more

References(22)*help

See more

Related Projects

See more

Keywords

Report a problem

Back to top