The Fujiki class and positive degree maps

Gautam Bharali; Indranil Biswas; Mahan Mj

Complex Manifolds (2015)

  • Volume: 2, Issue: 1, page 11-15, electronic only
  • ISSN: 2300-7443

Abstract

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We show that a map between complex-analytic manifolds, at least one ofwhich is in the Fujiki class, is a biholomorphism under a natural condition on the second cohomologies. We use this to establish that, with mild restrictions, a certain relation of “domination” introduced by Gromov is in fact a partial order.

How to cite

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Gautam Bharali, Indranil Biswas, and Mahan Mj. "The Fujiki class and positive degree maps." Complex Manifolds 2.1 (2015): 11-15, electronic only. <http://eudml.org/doc/275887>.

@article{GautamBharali2015,
abstract = {We show that a map between complex-analytic manifolds, at least one ofwhich is in the Fujiki class, is a biholomorphism under a natural condition on the second cohomologies. We use this to establish that, with mild restrictions, a certain relation of “domination” introduced by Gromov is in fact a partial order.},
author = {Gautam Bharali, Indranil Biswas, Mahan Mj},
journal = {Complex Manifolds},
keywords = {Fujiki class; Gromov partial order; compact complex manifolds; biholomrphic mappings},
language = {eng},
number = {1},
pages = {11-15, electronic only},
title = {The Fujiki class and positive degree maps},
url = {http://eudml.org/doc/275887},
volume = {2},
year = {2015},
}

TY - JOUR
AU - Gautam Bharali
AU - Indranil Biswas
AU - Mahan Mj
TI - The Fujiki class and positive degree maps
JO - Complex Manifolds
PY - 2015
VL - 2
IS - 1
SP - 11
EP - 15, electronic only
AB - We show that a map between complex-analytic manifolds, at least one ofwhich is in the Fujiki class, is a biholomorphism under a natural condition on the second cohomologies. We use this to establish that, with mild restrictions, a certain relation of “domination” introduced by Gromov is in fact a partial order.
LA - eng
KW - Fujiki class; Gromov partial order; compact complex manifolds; biholomrphic mappings
UR - http://eudml.org/doc/275887
ER -

References

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  9. [9] Fujimoto Y., Endomorphisms of smooth projective 3-folds with non-negative Kodaira dimension, Publ. Res. Inst. Math. Sci., 2002, 38(1), 33–92 Zbl1053.14049
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