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Iskovskikh Seminar
April 20, 2017 18:00, Moscow, Steklov Mathematical Institute, room 540
 


Terminal quartic 3-folds (following A.-S. Kaloghiros's thesis)

Dmitry Mineev

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Abstract: We'll obtain rather mild classification of terminal Gorenstein non-factorial quartics in $\mathbb{P}^4$. We'll also prove that they are rational in some cases (for instance, if quartic contains a plane, and its Weil divisors are bounded). Some numerical Sarkisov links appearing in the proof will be supported by geomteric constructions.

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