Jannsen, Uwe and Saito, Shuji (2012) BERTINI THEOREMS AND LEFSCHETZ PENCILS OVER DISCRETE VALUATION RINGS, WITH APPLICATIONS TO HIGHER CLASS FIELD THEORY. JOURNAL OF ALGEBRAIC GEOMETRY, 21 (4): PII S1056-. pp. 683-705. ISSN 1056-3911,
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We show the existence of good hyperplane sections for schemes over discrete valuation rings with good or (quasi-)semi-stable reduction, and the existence of good Lefschetz pencils for schemes with good reduction or ordinary quadratic reduction. As an application, we prove that the reciprocity map introduced for smooth projective varieties over local fields K by Bloch, Kato and Saito is an isomorphism after l-adic completion, if the variety has good or ordinary quadratic reduction and l not equal char(K).
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | LOCAL-FIELDS; SURFACES; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Professoren und akademische Räte im Ruhestand > Prof. Dr. Uwe Jannsen |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 06 May 2020 04:51 |
| Last Modified: | 06 May 2020 04:51 |
| URI: | https://pred.uni-regensburg.de/id/eprint/18065 |
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