On Subfields of the Function Field of a General Surface in P-3

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In this paper, we study birational immersions from a very general smooth plane curve to a nonrational surface with p(g) = q = 0 to treat dominant rational maps from a very general surface X of degree >= 5 in P-3 to smooth projective surfaces Y. Based on the classification theory of algebraic surfaces, Hodge theory, and deformation theory, we prove that there is no dominant rational map from X to Y unless Y is rational or Y is birational to X.
Publisher
OXFORD UNIV PRESS
Issue Date
2015
Language
English
Article Type
Article
Keywords

PLURICANONICAL SYSTEMS; RATIONAL MAPS; VARIETIES

Citation

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, no.24, pp.13245 - 13259

ISSN
1073-7928
DOI
10.1093/imrn/rnv107
URI
http://hdl.handle.net/10203/205949
Appears in Collection
MA-Journal Papers(저널논문)
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