Geodesic
Discreteness For the Set of Complex Structures On a Real Variety
Canadian mathematical bulletin, Tome 46 (2003) no. 3, pp. 321-322

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DOI

Let $X,\,Y$ be reduced and irreducible compact complex spaces and $S$ the set of all isomorphism classes of reduced and irreducible compact complex spaces $W$ such that $X\,\times \,Y\,\cong \,X\,\times \,W$ . Here we prove that $S$ is at most countable. We apply this result to show that for every reduced and irreducible compact complex space $X$ the set $S(X)$ of all complex reduced compact complex spaces $W$ with $X\,\times \,{{X}^{\sigma }}\,\cong \,W\,\times \,{{W}^{\sigma }}$ (where ${{A}^{\sigma }}$ denotes the complex conjugate of any variety $A$ ) is at most countable.
DOI : 10.4153/CMB-2003-033-7
Mots-clés : 32J18, 14J99, 14P99 
Ballico, E. Discreteness For the Set of Complex Structures On a Real Variety. Canadian mathematical bulletin, Tome 46 (2003) no. 3, pp. 321-322. doi: 10.4153/CMB-2003-033-7
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     title = {Discreteness {For} the {Set} of {Complex} {Structures} {On} a {Real} {Variety}},
     journal = {Canadian mathematical bulletin},
     pages = {321--322},
     year = {2003},
     volume = {46},
     number = {3},
     doi = {10.4153/CMB-2003-033-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2003-033-7/}
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