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In the earliest days of MathOverflow, there was a '20 questions' seminar (see <http://sbseminar.wordpress.com/category/20-questions/>) run by graduate students at Berkeley. Many questions from the seminar were cross-posted to MathOverflow. This tag now exists solely for the historical record.
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Analogues of the Weierstrass p function for higher genus compact Riemann surfaces
The genus g of a curve in P^2 is
g = 1/2(d-1)(d-2)
where d is the degree of the homogeneous polynomial that cuts it out. So you can't have a Riemann surface of genus, say, 4, sitting inside P^2.
( …