The projective plane, J-holomorphic curves and Desargues' theorem

Gadgil, Siddhartha (2013) The projective plane, J-holomorphic curves and Desargues' theorem. In: COMPTES RENDUS MATHEMATIQUE, 351 (23-24). pp. 915-920.

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Abstract

By a theorem of Gromov, for an almost complex structure J on CP2 tamed by the standard symplectic structure, the J-holomorphic curves representing the positive generator of homology form a projective plane. We show that this satisfies the Theorem of Desargues if and only if J is isomorphic to the standard complex structure. This answers a question of Ghys. (C) 2013 Published by Elsevier Masson SAS on behalf of Academie des sciences.

Item Type:	Journal Article
Publication:	COMPTES RENDUS MATHEMATIQUE
Publisher:	ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
Additional Information:	Copyright for this article belongs to the ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER, FRANCE
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	17 Feb 2014 09:07
Last Modified:	17 Feb 2014 09:07
URI:	http://eprints.iisc.ac.in/id/eprint/48382

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