Publications
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Galoiskohomologie reeller halbeinfacher algebraischer Gruppen,
Abh. Math. Sem. Univ. Hamburg 61 (1991), 231-242
AMSH page
pdf file
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p-adic K-theory of Hecke characters of imaginary quadratic fields,
Duke Math. J. 86 (1997), 197-238
Duke page
pdf file
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On K_3 of Witt vectors of length two over finite fields,
K-Theory 12 (1997), 193-226
pdf file
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Tate's conjecture, algebraic cycles and rational K-theory
in characteristic p,
K-Theory 13 (1998), 109-122
pdf file
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Topological cyclic homology of schemes,
Algebraic K-theory,
Proc. Symp. Pure Math. 67 (1999),
41-88 (with L.Hesselholt)
pdf file
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Applications of de Jong's theorem on alterations,
Resolution of Singularities. In tribute
to Oscar Zariski,
Progr. in Math. 181 (2000), 299-314
pdf file
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The K-theory of fields of characteristic p,
Invent. Math.139 (2000), 459-493 (with M.Levine)
pdf file
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The Bloch-Kato conjecture and a theorem of Suslin-Voevodsky,
J. reine angew. Math. 530 (2001), 55-103 (with M.Levine)
pdf file
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Motivic Cohomology over Dedekind rings,
Math. Z. 248 (2004), 773-794
pdf file
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Weil etale cohomology over finite fields,
Math. Ann. 330 (2004), 665-692
ArXiv page
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The cyclotomic trace map and values of zeta-functions,
Algebra and Number Theory. Proc. Silver Jubilee Conf.,
Univ. Hyderabad (2005), 211-225.
ArXiv page
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Motivic Cohomology, K-theory and topological cyclic homology,
Handbook of K-theory, Vol. 1, Springer (2005), 193-234.
pdf file
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On the K-theory and topological cyclic homology of smooth
schemes over a discrete valuation ring,
Trans. Amer. Math. Soc. 358 (2006), 131-145. (with L.Hesselholt)
TAMS page
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The de Rham-Witt complex and p-adic vanishing
cycles,
J. Amer. Math. Soc. 19 (2006), 1-36. (with L. Hesselholt)
ArXiv page
JAMS page
- Arithmetic Cohomology over finite fields and special values
of zeta-functions,
Duke Math. J. 133 (2006), no.1, 27-58.
ArXiv page
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On the K-theory of regular local Fp-algebras,
Topology 45 (2006), no.3, 475-493 (with L.Hesselholt)
ArXiv page
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Bi-relative algebraic K-theory and topological cyclic homology,
Invent. Math. 166 (2006), 359-395 (with L. Hesselholt).
ArXiv page
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The affine part of the Picard scheme,
Compositio Math. 145 (2009), 415-422.
ArXiv page
Compositio page
Corrected version (2021)
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Parshin's conjecture revisted,
K-theory and noncommutative geometry, 413-425, EMS Ser. Congr. Rep.,
Eur. Math. Soc., Zurich, (2008).
ArXiv page
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Duality via cycle complexes,
Ann. of Math. (2) 172 (2010), no. 2, 1095--1126.
ArXiv page
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Arithmetic homology and an integral version of Kato's conjecture,
J. Reine Angew. Math. 644 (2010), 1--22.
ArXiv page
- On the vanishing of negative K-groups,
Math. Ann. 348 (2010), no. 3, 707-736 (with L.Hesseholt).
ArXiv page
- On Suslin's singular homology and cohomology.
Documenta Math. Extra Volume: Andrei A. Suslin's Sixtieth Birthday (2010) 223-249
Documenta page
- On the relative and bi-relative algebraic K-theory
of rings of finite characteristic,
J. Amer. Math. Soc. 24 (2011), no. 1, 29-49, (with L.Hesselholt).
ArXiv page
- Finite generation conjectures for motivic cohomology theories over finite fields,
Regulators, 153-165, Contemp. Math., 571, Amer. Math. Soc., Providence, RI, 2012.
ArXiv page
- On a conjecture of Vorst,
Math. Zeitschrift 270, (2012) 445-452, (with L.Hesselholt)
DOI: 10.1007/s00209-010-0806-2
ArXiv page
- Duality for Z-constructible sheaves for curves
over finite fields,
Doc. Math. 17 (2012), 989-1002.
Documenta page
- Homological descent for motivic homology theories,
Homology, homotopy and applicatations, 16 (2014), No.2, 33-43.
ArXiv page
- Albanese varieties, Suslin homology and Rojtman's theorem,
Algebraic number theory and related topics 2012, 73-83, RIMS Kokyuroku Bessatsu, B51,
Res. Inst. Math. Sci., Kyoto, (2014).
RIMS page
pdf file
- Rojtman's theorem for normal schemes,
Math. Res. Lett. 22 (2015), no. 4, 1129-1144.
ArXiv page
- Applications and conjectures in motivic cohomology theory,
(Japanese), Sugaku 67 (2015), no. 3, 225-245.
JMS page
pdf file
- Parshin's Conjecture and Motivic Cohomology with Compact Support
Comment. Math. Univ. Sancti Pauli, Vol. 64, 2 (2015), 95-107.
ArXiv page
- Tame class field theory for singular varieties over algebraically closed fields,
Documenta Mathematica 21 (2016) 91-123 (with A. Schmidt).
Documenta page
- Duality for integral etale motivic cohomology,
K-Theory-Proceedings of the International Colloquium, Mumbai, 2016, 195-209,
Hindustan Book Agency, New Delhi, 2018.
ArXiv page
- On the structure of etale motivic cohomology,
Journal Pure Applied Algebra 221 (2017) 1614-1628,
Volume in Honor of Chuck Weibel.
ArXiv page
- Tame class field theory for singular varieties over finite fields,
J. European Mathematical Soc.\ 19 (2017) 3467--3488
(with A. Schmidt).
ArXiv page
- Poitou-Tate duality for arithmetic schemes,
Compos. Math. 154 (2018), no. 9, 2020-2044 (with A.Schmidt)
ArXiv page
Compositio page
- Motivic cohomology: Applications and conjectures,
Sugaku Expositions, Volume 32, Number 2, December 2019, 181-203.
AMS page
- Hasse principles for etale motivic cohomology,
Nagoya Math. J., 236, Celebrating the 60th Birthday of Shuji Saito
(2019) , 63-83
NMJ page
- A Weil-etale version of the Birch and Swinnerton-Dyer
formula over function fields.
J. Number Theory 208 (2020), 367-389 (with T.Suzuki).
ArXiv page
JNT page
- Comparing the Brauer group to the Tate-Shafarevich group.
J. Inst. Math. Jussieu 19 (2020), no. 3, 965-970.
ArXiv page
JIMJ page
- Tate's Conjecture and the Tate-Shafarevich group
over global function fields,
J. Inst. Math. Jussieu, to appear.
ArXiv page
JIMJ page
- On the kernel of the Brauer Manin pairing.
J. Number Theory 238 (2022), 444–463 (with B. Morin)
ArXiv page
JNT page
- Pontryagin duality for varieties over p-adic fields.
J. Inst. Math. Jussieu, to appear (with B.Morin)
ArXiv page
- Special values of L-functions of one-motives over function fields,
Preprint (with T.Suzuki).
ArXiv page