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Complex geometry is the study of complex manifolds, complex algebraic varieties, complex analytic spaces, and, by extension, of almost complex structures. It is a part of differential geometry, algebraic geometry and analytic geometry.

6 votes
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Existence of logarithmic structures and d-semistability

It is true that if $X\subseteq Y$ is a normal crossings divisor, then $Y$ has a log structure whose sheaf of monoids is the sheaf of regular functions invertible outside of $X$. It is also true that t …
Mark Gross's user avatar
6 votes
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Question about the Aganagic-Vafa A-brane

I believe that the special Lagrangians that Aganagic-Vafa want to consider are contained in special fibres of the Harvey-Lawson fibration. First, we had better take $k=0$ in your equations, since othe …
Mark Gross's user avatar