Some minor nits

notations.tex

@@ -374,7 +374,7 @@
 
 \newglossaryentry{not:Zf}{
   name={$Z_f$},
-  description={zero set of $f$, $f^{-1}(0)$},
+  description={zero set of $f$, that is, $f^{-1}(0)$},
 }
 
 \newglossaryentry{not:ideal}{
@@ -388,7 +388,7 @@
 }
 
 \newglossaryentry{not:vanishingset}{
-  name={$V(I)$},
+  name={$V_p(I)$},
   description={the common zero set of germs in $I$},
 }
 
@@ -481,3 +481,8 @@
   name={$X \overset{\text{def}}{=} Y$},
   description={define $X$ to be $Y$},
 }
+
+\newglossaryentry{not:dolbeault}{
+  name={$H^{(p,q)}(U)$},
+  description={Dolbeault cohomology groups},
+}

scv.tex

@@ -490,8 +490,9 @@
 \bigskip
 
 \noindent
-During the writing of this book,
-the author was in part supported by NSF grant DMS-1362337.
+During some of the writing of this book,
+the author was in part supported by NSF grant DMS-1362337
+and Simons Foundation collaboration grant 710294. 
 
 \bigskip
 
@@ -11637,7 +11638,8 @@ \section{Solvability of the \texorpdfstring{$\bar{\partial}$}{dbar}-problem in t
 For an open set $U \subset \C^n$,
 we define the
 \emph{\myindex{Dolbeault cohomology groups}}\index{cohomology}
-(quotient of complex vector spaces)
+(quotient of complex vector spaces)%
+\glsadd{not:dolbeault}%
 \begin{equation*}
 H^{(p,q)}(U)
 =
@@ -17669,6 +17671,7 @@ \chapter{Results from One Complex Variable} \label{ap:onevarresults}
 \qquad
 g(z) =
 \overline{f(\bar{z})} \quad \text{if $z \in U_-$},
+\avoidbreak
 \end{equation*}
 is holomorphic on $U$.
 \end{thm}
@@ -17687,6 +17690,7 @@ \chapter{Results from One Complex Variable} \label{ap:onevarresults}
 g(z) =
 -f(\bar{z}) \quad \text{if $z \in U_-$},
 \end{equation*}
+\avoidbreak
 is harmonic on $U$.
 \end{thm}