Local-global principles for zero-cycles on homogeneous spaces over arithmetic function fields
نویسندگان
چکیده
منابع مشابه
Zero-cycles on varieties over finite fields
For any field k, Milnor [Mi] defined a sequence of groups K 0 (k), K M 1 (k), K M 2 (k), . . . which later came to be known as Milnor K-groups. These were studied extensively by Bass and Tate [BT], Suslin [Su], Kato [Ka1], [Ka2] and others. In [Som], Somekawa investigates a generalization of this definition proposed by Kato: given semi-abelian varieties G1, . . . , Gs over a field k, there is a...
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Contents Introduction 2 1. Homology theory and cycle map 6 2. Kato homology 11 3. Vanishing theorem 15 4. Bertini theorem over a discrete valuation ring 19 5. Surjectivity of cycle map 22 6. Blowup formula 24 7. A moving lemma 26 8. Proof of main theorem 28 9. Applications of main theorem 31 Appendix A. Resolution of singularities for embedded curves 34 References 39
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2019
ISSN: 0002-9947,1088-6850
DOI: 10.1090/tran/7911