arXiv:2111.10900 Abstract | arXiv Analytics

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Conjectures on the Kodaira dimension

Published 2021-11-21, updated 2022-10-12Version 3

I propose a few increasingly stronger "superadditivity" conjectures regarding the behavior of Kodaira dimension under morphisms of smooth quasi-projective complex varieties.

Comments: 8 pages; v2: the statements of two new results involving varieties of general type and abelian varieties included, plus various small changes; v3: improved exposition, including various updates

Categories: math.AG

Subjects: 14J10, 14D06

Keywords: kodaira dimension, conjectures, smooth quasi-projective complex varieties, increasingly stronger

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