Lefschetz fibrations on adjoint orbits - PMA
Lefschetz fibrations on adjoint orbits - PMA
Lefschetz fibrations on adjoint orbits - PMA
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AKO Mirror of a Projective Plane<br />
Theorem (Auroux-Katzarkov–Orlov)<br />
The Mirror of CP 2 is the Landau–Ginzburg model which is the<br />
elliptic fibrati<strong>on</strong> with 3 singular fibers, determined by the fiberwise<br />
compactificati<strong>on</strong> of the superpotential W0 : (C ∗ ) 2 → C given by<br />
W0 = x + y + 1<br />
xy<br />
This superpotential has a natural compactificati<strong>on</strong> to an elliptic<br />
fibrati<strong>on</strong><br />
W0 : M → CP 1<br />
in which the fiber over infinity c<strong>on</strong>sists of 9 rati<strong>on</strong>al comp<strong>on</strong>ents.<br />
Elizabeth Gasparim <str<strong>on</strong>g>Lefschetz</str<strong>on</strong>g> <str<strong>on</strong>g>fibrati<strong>on</strong>s</str<strong>on</strong>g> <strong>on</strong> <strong>adjoint</strong> <strong>orbits</strong>
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