<?xml version="1.0" encoding="UTF-8"?>
<?xml-stylesheet type="text/xsl" href="f2.xsl"?>
<top_article>
<mrnumber>MR2154383</mrnumber>
<author>Kajiwara, K., Masuda, T., Noumi, M., Ohta, Y. and Yamada, Y.</author>
<author_utf8>K. KAJIWARA, T. MASUDA, M. NOUMI, Y. OHTA and Y. YAMADA</author_utf8>
<title>Cubic Pencils and Painlev&#233; Hamiltonians</title>
<journal>Funkcialaj Ekvacioj. Serio Internacia</journal>
<volume>48</volume>
<year>2005</year>
<page>147--160</page>
<url_pdf>http://fe.math.kobe-u.ac.jp/FE/FullPapers/48-1/48_147.pdf</url_pdf>
<mathsci_link>http://www.ams.org/mathscinet-getitem?mr=MR2154383</mathsci_link>
<abstract>We present a simple heuristic method to derive the Painleve differential equations from the corresponding geometry of rational surfaces.</abstract>
<keywords>Painlev&#233; equation, Hamiltonian, Cubic pencil, Seiberg-Witten curve.</keywords>
<subject>34M55, 14H70.</subject>
<fesi_info>
  <FILE>48-147</FILE>
  <YEAR>2005</YEAR>
  <TITLE>Cubic Pencils and Painlev&#233; Hamiltonians</TITLE>
  <AUTHOR>KAJIWARA, K., MASUDA, T., NOUMI, M., OHTA, Y. and YAMADA, Y.</AUTHOR>
  <AUTHOR_utf8>K. KAJIWARA, T. MASUDA, M. NOUMI, Y. OHTA and Y. YAMADA</AUTHOR_utf8>
</fesi_info>

<references>

  <article>
<bibitem>1</bibitem>
<author>Okamoto, K.</author>
<title>Sur les feuilletages associ&#233;s aux &#233;quations du second ordre &#224; points critiques fixes de P. Painlev&#233;</title>
<journal>Japan. J. Math.</journal>
<vol>5</vol>
<year>1979</year>
<page>1-79</page>
<mr>MR0614694</mr>
  </article>

  <fearticle>
<bibitem>2</bibitem>
<author>Shioda, T.; Takano, K.</author>
<title>On Some Hamiltonian Structures of Painlev&#233; Systems, I</title>
<journal>Funkcial. Ekvac.</journal>
<vol>40</vol>
<year>1997</year>
<page>271-291</page>
<mr>MR1480279</mr>
<feart>1480279</feart>
  </fearticle>

  <article>
<bibitem>3</bibitem>
<author>Sakai, H.</author>
<title>Rational surfaces associated with affine root systems and geometry of the Painlev&#233; equations</title>
<journal>Commun. Math. Phys.</journal>
<vol>220</vol>
<year>2001</year>
<page>165-229</page>
<mr>MR1882403</mr>
  </article>

  <article>
<bibitem>4</bibitem>
<author>Saito, M.; Takebe, T.; Terajima, H.</author>
<title>Deformation of Okamoto-Painlev&#233; pairs and Painleve equations</title>
<journal>J. Algebraic Geom.</journal>
<vol>11</vol>
<year>2002</year>
<page>311-362</page>
<mr>MR1874117</mr>
  </article>

  <article>
<bibitem>5</bibitem>
<author>Terajima, H.</author>
<title>Local cohomology of generalized Okamoto-Painlev&#233; pairs and Painlev&#233; equations</title>
<journal>Japan. J. Math. (N.S.)</journal>
<vol>28</vol>
<year>2002</year>
<page>137-162</page>
<mr>MR1933882</mr>
  </article>

  <article>
<bibitem>6</bibitem>
<author>Kajiwara, K.; Masuda, T.; Noumi, M.; Ohta, Y.; Yamada, Y.</author>
<title>${}_{10}E_9$ solution to the elliptic Painlev&#233; equation</title>
<journal>J. Phys. A: Math. Gen.</journal>
<vol>36</vol>
<year>2003</year>
<page>L263-L272</page>
<mr>MR1984002</mr>
  </article>


  <article>
<bibitem>7</bibitem>
<author>Kimura, H.</author>
<title>Uniform foliation associated with the Hamiltonian system $H_n$</title>
<journal>Ann. Scuola Norm. Sup. Pisa Cl. Sci.</journal>
<vol>20</vol>
<year>1993</year>
<page>1-60</page>
<mr>MR1215998</mr>
  </article>

  <article>
<bibitem>8</bibitem>
<author>Seiberg, N.; Witten, E.</author>
<title>Monopoles, Duality and Chiral Symmetry Breaking in $N=2$ Supersymmetric QCD</title>
<journal>Nuclear Phys.</journal>
<vol>B431</vol>
<year>1994</year>
<page>484-550</page>
<mr>MR1306869</mr>
  </article>


  <article>
<bibitem>9</bibitem>
<author>Argyres, P. C.; Plesser, M. R.; Seiberg, N.; Witten, E.</author>
<title>New $N=2$ Superconformal Field Theories in Four Dimensions</title>
<journal>Nuclear Phys.</journal>
<vol>B461</vol>
<year>1996</year>
<page>71-84</page>
<mr>MR1381854</mr>
  </article>

  <article>
<bibitem>10</bibitem>
<author>Ganor, O. J.; Morrison, D. R.; Seiberg, N.</author>
<title>Branes, Calabi-Yau Spaces, and Toroidal Compactification of the $N=1$ Six-Dimensional $E_8$ Theory</title>
<journal>Nuclear Phys.</journal>
<vol>B487</vol>
<year>1997</year>
<page>93-127</page>
<mr>MR1433064</mr>
  </article>

  <article>
<bibitem>11</bibitem>
<author>Mizoguchi, S.; Yamada, Y.</author>
<title>$W(E_{10})$ symmetry, $M$-theory and Painlev&#233; equations</title>
<journal>Phys. Lett.</journal>
<vol>B537</vol>
<year>2002</year>
<page>130-140</page>
<mr>MR1910991</mr>
  </article>

  <article>
<bibitem>12</bibitem>
<author>Eguchi, T.; Sakai, K.</author>
<title>Seiberg-Witten Curve for $E$-String Theory Revisited</title>
<journal>Adv. Theor. Math. Phys.</journal>
<vol>7</vol>
<year>2003</year>
<page>419-455</page>
<mr>MR2030056</mr>
  </article>



</references>
</top_article>
