# Journal of the Ramanujan Mathematical Society

Volume 30, Issue 4, December 2015 pp. 403–411.

A criterion for M-curves

**Authors**:
Indranil Biswas and Shane D'Mello

**Author institution:**School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India

**Summary: **
We prove that a geometrically irreducible smooth projective curve
X of genus g > 1 defined over R is an M-variety if
and only if Pic 0(X) is an M-variety. A geometrically
irreducible smooth projective curve X defined over R
is an M-variety if and only if Pic 1(X) is an
M-variety; note that there is no condition on the genus.

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