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VIDEO LIBRARY |
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Nef anti-canonical divisors and rationally connected fibrations Yoshinori Gongyo |
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Abstract: We study the IitakaKodaira dimension of nef relative anti-canonical divisors. As a consequence, we prove that given a complex projective variety with klt singularities, if the anti-canonical divisor is nef, then the dimension of a general fibre of the maximal rationally connected fibration is at least the IitakaKodaira dimension of the anti-canonical divisors. This is a joint work with Sho Ejiri. Language: English |