Esnault, Helene and Kerz, Moritz (2026) Semistable Lefschetz pencils. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 835. pp. 233-277. ISSN 0075-4102, 1435-5345
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We study the geometry and cohomology of Lefschetz pencils for semistable schemes over a discrete valuation ring. We relate the global cohomological properties of the Lefschetz pencil and the monodromy-weight conjecture; in particular, we show that if one assumes the monodromy-weight conjecture in smaller dimensions, then one can obtain a rather complete understanding of the relative cohomology of the pencil. This reduces the monodromy-weight conjecture to an arithmetic variant of a conjecture of Kashiwara for the projective line.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | BERTINI THEOREMS; MONODROMY; CYCLES; CONJECTURE; VARIETIES; LIMITS |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Moritz Kerz |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 17 Jun 2026 05:44 |
| Last Modified: | 17 Jun 2026 05:44 |
| URI: | https://pred.uni-regensburg.de/id/eprint/66711 |
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