Vanishing Cycles under Base Change and the Integral Hodge Conjecture
| Authors | |
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| Publication date | 2021 |
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| Book title | Rationality of Varieties |
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| Series | Progress in Mathematics |
| Event | Rationality of Algebraic Varieties |
| Pages (from-to) | 389-402 |
| Publisher | Cham: Birkhäuser |
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| Abstract | In this paper we discuss an obstruction to the integral Hodge conjecture which arises from a certain behavior of vanishing cycles. This allows us to construct new counter-examples to the integral Hodge conjecture. One typical such counter-example is the product of a very general hypersurface of odd dimension and an Enriques surface. Our approach generalizes the degeneration argument of Benoist–Ottem [2]. |
| Document type | Chapter |
| Language | English |
| Published at |
https://doi.org/10.1007/978-3-030-75421-1_14
(Final published version)
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