\begin{thebibliography}{dJHS11}

\bibitem[ABS13]{ABS}
E.~Arbarello, A.~Bruno, and E.~Sernesi.
\newblock Mukai's program for curves on a {$K3$} surface, 2013.
\newblock arXiv:1309.0496.

\bibitem[AK03]{AK}
Carolina Araujo and J{\'a}nos Koll{\'a}r.
\newblock Rational curves on varieties.
\newblock In {\em Higher dimensional varieties and rational points ({B}udapest,
  2001)}, volume~12 of {\em Bolyai Soc. Math. Stud.}, pages 13--68. Springer,
  Berlin, 2003.

\bibitem[CLM93]{CLM}
Ciro Ciliberto, Angelo Lopez, and Rick Miranda.
\newblock Projective degenerations of {$K3$} surfaces, {G}aussian maps, and
  {F}ano threefolds.
\newblock {\em Invent. Math.}, 114(3):641--667, 1993.

\bibitem[Deg89]{Deg}
A.~I. Degtyar{\"e}v.
\newblock Classification of quartic surfaces that have a nonsimple singular
  point.
\newblock {\em Izv. Akad. Nauk SSSR Ser. Mat.}, 53(6):1269--1290, 1337--1338,
  1989.

\bibitem[dJHS11]{dJHS}
A.~J. de~Jong, Xuhua He, and Jason~Michael Starr.
\newblock Families of rationally simply connected varieties over surfaces and
  torsors for semisimple groups.
\newblock {\em Publ. Math. Inst. Hautes \'Etudes Sci.}, (114):1--85, 2011.

\bibitem[GL87]{GL}
Mark Green and Robert Lazarsfeld.
\newblock Special divisors on curves on a {$K3$} surface.
\newblock {\em Invent. Math.}, 89(2):357--370, 1987.

\bibitem[HKT13]{HKT}
Brendan Hassett, Andrew Kresch, and Yuri Tschinkel.
\newblock On the moduli of degree $4$ {D}el {P}ezzo surfaces, 2013.
\newblock arXiv:1312.6734.

\bibitem[HT14]{HT12}
Brendan Hassett and Yuri Tschinkel.
\newblock Quartic del {P}ezzo surfaces over function fields of curves.
\newblock {\em Cent. Eur. J. Math.}, 12(3):395--420, 2014.

\bibitem[IN04]{Ishii}
Yuji Ishii and Noboru Nakayama.
\newblock Classification of normal quartic surfaces with irrational
  singularities.
\newblock {\em J. Math. Soc. Japan}, 56(3):941--965, 2004.

\bibitem[Kaw78]{Kawamata}
Yujiro Kawamata.
\newblock On deformations of compactifiable complex manifolds.
\newblock {\em Math. Ann.}, 235(3):247--265, 1978.

\bibitem[Muk87]{Mukai87}
S.~Mukai.
\newblock On the moduli space of bundles on {$K3$} surfaces. {I}.
\newblock In {\em Vector bundles on algebraic varieties ({B}ombay, 1984)},
  volume~11 of {\em Tata Inst. Fund. Res. Stud. Math.}, pages 341--413. Tata
  Inst. Fund. Res., Bombay, 1987.

\bibitem[Muk95]{MukaiAJM}
Shigeru Mukai.
\newblock Curves and symmetric spaces. {I}.
\newblock {\em Amer. J. Math.}, 117(6):1627--1644, 1995.

\bibitem[Muk96]{Mukai96}
Shigeru Mukai.
\newblock Curves and {$K3$} surfaces of genus eleven.
\newblock In {\em Moduli of vector bundles ({S}anda, 1994; {K}yoto, 1994)},
  volume 179 of {\em Lecture Notes in Pure and Appl. Math.}, pages 189--197.
  Dekker, New York, 1996.

\bibitem[Muk01]{Mukai01}
Shigeru Mukai.
\newblock Non-abelian {B}rill-{N}oether theory and {F}ano 3-folds [translation
  of {S}\=ugaku {\bf 49} (1997), no. 1, 1--24; ].
\newblock {\em Sugaku Expositions}, 14(2):125--153, 2001.
\newblock Sugaku Expositions.

\bibitem[Sha81]{JShah}
Jayant Shah.
\newblock Degenerations of {$K3$} surfaces of degree {$4$}.
\newblock {\em Trans. Amer. Math. Soc.}, 263(2):271--308, 1981.

\bibitem[Ura86]{Urabe}
Tohsuke Urabe.
\newblock Classification of nonnormal quartic surfaces.
\newblock {\em Tokyo J. Math.}, 9(2):265--295, 1986.

\end{thebibliography}
