Nickel, Andreas On the \(p\)-adic Beilinson conjecture and the equivariant Tamagawa number conjecture. (English) Zbl 07437389 Sel. Math., New Ser. 28, No. 1, Paper No. 3, 39 p. (2022). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R23 11R42 PDF BibTeX XML Cite \textit{A. Nickel}, Sel. Math., New Ser. 28, No. 1, Paper No. 3, 39 p. (2022; Zbl 07437389) Full Text: DOI arXiv OpenURL
Burns, David; de Jeu, Rob; Gangl, Herbert; Rahm, Alexander D.; Yasaki, Dan Hyperbolic tessellations and generators of \(K_3\) for imaginary quadratic fields. (English) Zbl 1473.19003 Forum Math. Sigma 9, Paper No. e40, 47 p. (2021). Reviewer: Piotr Krasoń (Szczecin) MSC: 19F27 11G55 11R70 19D45 11R42 20H20 51M20 PDF BibTeX XML Cite \textit{D. Burns} et al., Forum Math. Sigma 9, Paper No. e40, 47 p. (2021; Zbl 1473.19003) Full Text: DOI arXiv OpenURL
Huber, Annette; Kings, Guido Polylogarithm for families of commutative group schemes. (English) Zbl 1464.14012 J. Algebr. Geom. 27, No. 3, 449-495 (2018). Reviewer: Giuseppe Ancona (Strasbourg) MSC: 14C25 19E15 14F42 14L15 11G40 PDF BibTeX XML Cite \textit{A. Huber} and \textit{G. Kings}, J. Algebr. Geom. 27, No. 3, 449--495 (2018; Zbl 1464.14012) Full Text: DOI arXiv OpenURL
Vallières, Daniel The equivariant Tamagawa number conjecture and the extended abelian Stark conjecture. (English) Zbl 1396.11125 J. Reine Angew. Math. 734, 1-58 (2018). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11R23 11G40 PDF BibTeX XML Cite \textit{D. Vallières}, J. Reine Angew. Math. 734, 1--58 (2018; Zbl 1396.11125) Full Text: DOI OpenURL
Burns, David; Kurihara, Masato; Sano, Takamichi On Iwasawa theory, zeta elements for \(\mathbb G_m\), and the equivariant Tamagawa number conjecture. (English) Zbl 1455.11158 Algebra Number Theory 11, No. 7, 1527-1571 (2017). Reviewer: Lawrence C. Washington (College Park) MSC: 11S40 11R23 11R29 11R42 PDF BibTeX XML Cite \textit{D. Burns} et al., Algebra Number Theory 11, No. 7, 1527--1571 (2017; Zbl 1455.11158) Full Text: DOI OpenURL
Johnston, Henri; Nickel, Andreas On the equivariant Tamagawa number conjecture for Tate motives and unconditional annihilation results. (English) Zbl 1339.11093 Trans. Am. Math. Soc. 368, No. 9, 6539-6574 (2016). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 11R42 11R70 19F27 PDF BibTeX XML Cite \textit{H. Johnston} and \textit{A. Nickel}, Trans. Am. Math. Soc. 368, No. 9, 6539--6574 (2016; Zbl 1339.11093) Full Text: DOI arXiv OpenURL
Sano, Takamichi Refined abelian Stark conjectures and the equivariant leading term conjecture of Burns. (English) Zbl 1311.11108 Compos. Math. 150, No. 11, 1809-1835 (2014). Reviewer: Andreas Nickel (Bielefeld) MSC: 11R42 11R27 11R29 PDF BibTeX XML Cite \textit{T. Sano}, Compos. Math. 150, No. 11, 1809--1835 (2014; Zbl 1311.11108) Full Text: DOI arXiv OpenURL
Macias Castillo, Daniel On higher order Stickelberger-type theorems. (English) Zbl 1300.11116 J. Number Theory 133, No. 9, 3007-3032 (2013). Reviewer: Andreas Nickel (Bielefeld) MSC: 11R42 11R29 PDF BibTeX XML Cite \textit{D. Macias Castillo}, J. Number Theory 133, No. 9, 3007--3032 (2013; Zbl 1300.11116) Full Text: DOI OpenURL
Flach, Matthias On the Cyclotomic Main Conjecture for the prime 2. (English) Zbl 1242.11083 J. Reine Angew. Math. 661, 1-36 (2011). Reviewer: Andreas Nickel (Bielefeld) MSC: 11R23 11R18 11R42 PDF BibTeX XML Cite \textit{M. Flach}, J. Reine Angew. Math. 661, 1--36 (2011; Zbl 1242.11083) Full Text: DOI OpenURL
Flach, Matthias Iwasawa theory and motivic \(L\)-functions. (English) Zbl 1179.11036 Pure Appl. Math. Q. 5, No. 1, 255-294 (2009). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 11R23 11-02 PDF BibTeX XML Cite \textit{M. Flach}, Pure Appl. Math. Q. 5, No. 1, 255--294 (2009; Zbl 1179.11036) Full Text: DOI OpenURL
Greither, Cornelius Determining Fitting ideals of minus class groups via the equivariant Tamagawa number conjecture. (English) Zbl 1135.11059 Compos. Math. 143, No. 6, 1399-1426 (2007). Reviewer: Jürgen Ritter (Augsburg) MSC: 11R29 11R33 11R42 19B28 PDF BibTeX XML Cite \textit{C. Greither}, Compos. Math. 143, No. 6, 1399--1426 (2007; Zbl 1135.11059) Full Text: DOI OpenURL
Burns, David Congruences between derivatives of abelian \(L\)-functions at \(s =0\). (English) Zbl 1133.11063 Invent. Math. 169, No. 3, 451-499 (2007). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R42 11R34 11R33 PDF BibTeX XML Cite \textit{D. Burns}, Invent. Math. 169, No. 3, 451--499 (2007; Zbl 1133.11063) Full Text: DOI OpenURL
Burns, David; Flach, Matthias On the equivariant Tamagawa number conjecture for Tate motives. II. (English) Zbl 1156.11042 Doc. Math. Extra Vol., John H. Coates’ Sixtieth Birthday, 133-163 (2006). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 11R23 11R18 PDF BibTeX XML Cite \textit{D. Burns} and \textit{M. Flach}, Doc. Math. Extra Vol., 133--163 (2007; Zbl 1156.11042) Full Text: EuDML EMIS OpenURL
Witte, Malte On the Equivariant Main Conjecture of Iwasawa theory. (English) Zbl 1098.11055 Acta Arith. 122, No. 3, 275-296 (2006). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R23 11R18 19F27 11R42 PDF BibTeX XML Cite \textit{M. Witte}, Acta Arith. 122, No. 3, 275--296 (2006; Zbl 1098.11055) Full Text: DOI arXiv OpenURL
Bley, W. On the equivariant Tamagawa number conjecture for Abelian extensions of a quadratic imaginary field. (English) Zbl 1178.11070 Doc. Math. 11, 73-118 (2006). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 11R23 11R33 PDF BibTeX XML Cite \textit{W. Bley}, Doc. Math. 11, 73--118 (2006; Zbl 1178.11070) Full Text: EuDML EMIS OpenURL
Snaith, Victor P. Relative \(K_0\), annihilators, Fitting ideals and Stickelberger phenomena. (English) Zbl 1108.19001 Proc. Lond. Math. Soc. (3) 90, No. 3, 545-590 (2005). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 19F27 11G55 11R34 11R42 PDF BibTeX XML Cite \textit{V. P. Snaith}, Proc. Lond. Math. Soc. (3) 90, No. 3, 545--590 (2005; Zbl 1108.19001) Full Text: DOI arXiv OpenURL
Belliard, Jean-Robert; Nguyen Quang Do, Thong On modified circular units and annihilation of real classes. (English) Zbl 1092.11043 Nagoya Math. J. 177, 77-115 (2005). Reviewer: Jürgen Ritter (Augsburg) MSC: 11R23 11R18 11R20 PDF BibTeX XML Cite \textit{J.-R. Belliard} and \textit{T. Nguyen Quang Do}, Nagoya Math. J. 177, 77--115 (2005; Zbl 1092.11043) Full Text: DOI arXiv OpenURL
Flach, Matthias The equivariant Tamagawa number conjecture: a survey. (English) Zbl 1070.11025 Burns, David (ed.) et al., Stark’s conjectures: recent work and new directions. Papers from the international conference on Stark’s conjectures and related topics, Johns Hopkins University, Baltimore, MD, USA, August 5–9, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3480-0/pbk). Contemporary Mathematics 358, 79-125 (2004). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 11G40 11R23 11R33 11G18 PDF BibTeX XML Cite \textit{M. Flach}, Contemp. Math. 358, 79--125 (2004; Zbl 1070.11025) OpenURL
Popescu, Cristian D. The Rubin-Stark conjecture for imaginary abelian fields of odd prime power conductor. (English) Zbl 1082.11074 Math. Ann. 330, No. 2, 215-233 (2004). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R42 11R58 11R27 PDF BibTeX XML Cite \textit{C. D. Popescu}, Math. Ann. 330, No. 2, 215--233 (2004; Zbl 1082.11074) Full Text: DOI OpenURL
Bley, W. Wild Euler systems of elliptic units and the Equivariant Tamagawa Number Conjecture. (English) Zbl 1056.11035 J. Reine Angew. Math. 577, 117-146 (2004). Reviewer: Cornelius Greither (Neubiberg) MSC: 11G16 11R27 11R33 PDF BibTeX XML Cite \textit{W. Bley}, J. Reine Angew. Math. 577, 117--146 (2004; Zbl 1056.11035) Full Text: DOI OpenURL
Ritter, Jürgen; Weiss, Alfred Representing \(\Omega_{(l\infty)}\) for real Abelian fields. (English) Zbl 1050.11094 J. Algebra Appl. 2, No. 3, 237-276 (2003). Reviewer: Günter Lettl (Graz) MSC: 11R23 11R33 11R42 PDF BibTeX XML Cite \textit{J. Ritter} and \textit{A. Weiss}, J. Algebra Appl. 2, No. 3, 237--276 (2003; Zbl 1050.11094) Full Text: DOI OpenURL
Kings, Guido The Bloch-Kato conjecture on special values of \(L\)-functions. A survey of known results. (English) Zbl 1050.11063 J. Théor. Nombres Bordx. 15, No. 1, 179-198 (2003). Reviewer: Manfred Kolster (Hamilton/Ontario) MSC: 11G40 11-02 14G10 11R23 PDF BibTeX XML Cite \textit{G. Kings}, J. Théor. Nombres Bordx. 15, No. 1, 179--198 (2003; Zbl 1050.11063) Full Text: DOI Numdam EuDML OpenURL
Benois, Denis; Nguyen Quang Do, Thong Local Tamagawa numbers and the Bloch-Kato conjecture for the motives \(\mathbb Q(m)\) over an abelian field. (Les nombres de Tamagawa locaux et la conjecture de Bloch et Kato pour les motifs \(\mathbb Q(m)\) sur un corps abélien.) (French) Zbl 1125.11351 Ann. Sci. Éc. Norm. Supér. (4) 35, No. 5, 641-672 (2002). Reviewer: Cornelius Greither (Neubiberg) (MR1951439) MSC: 11R42 11G55 PDF BibTeX XML Cite \textit{D. Benois} and \textit{T. Nguyen Quang Do}, Ann. Sci. Éc. Norm. Supér. (4) 35, No. 5, 641--672 (2002; Zbl 1125.11351) Full Text: DOI Numdam EuDML OpenURL
Greither, Cornelius; Kučera, Radan The lifted root number conjecture for fields of prime degree over the rationals: an approach via trees and Euler systems. (English) Zbl 1041.11074 Ann. Inst. Fourier 52, No. 3, 735-777 (2002). MSC: 11R33 11R37 11R18 PDF BibTeX XML Cite \textit{C. Greither} and \textit{R. Kučera}, Ann. Inst. Fourier 52, No. 3, 735--777 (2002; Zbl 1041.11074) Full Text: DOI Numdam Numdam EuDML OpenURL
Farber, Michael S. Combinatorial invariants computing the Ray-Singer analytic torsion. (English) Zbl 0864.57023 Differ. Geom. Appl. 6, No. 4, 351-366 (1996). Reviewer: Michael Farber (Tel-Aviv) MSC: 57Q10 58J52 PDF BibTeX XML Full Text: DOI arXiv OpenURL