Let $R$ be a discrete valuation ring with residue field $F$, and let $X/R$ be a regular projective relative curve with closed fiber $X_0$. Then $X_0/F$ is a projective curve. We know that $X$ may be transformed by blow-up into a regular proj. rel. curve for which $X_0$ has normal crossings. As I understand it, the reduced structure $C=(X_0)_{red}$ has regular irreducible components, at most two of which meet at any point, and when they meet, they meet transversally. My questions: (1) are the singular points of $C$ necessarily ordinary double points? (2) If not, does the answer change if $F$ is perfect? I'm not an algebraic/arithmetic geometer, and I'm trying to read a paper by Saito (Class field theory for curves over local fields, JNT 21 (1985), 44-80). Thank you in advance for any comments/references.

EricB

paid in full; ya know what I'm sayin'? $\endgroup$