Dolce, Paolo Adelic geometry on arithmetic surfaces. I: Idelic and adelic interpretation of the Deligne pairing. (English) Zbl 1498.14062 Kyoto J. Math. 62, No. 2, 433-470 (2022). MSC: 14G40 11R56 14C17 14J20 PDFBibTeX XMLCite \textit{P. Dolce}, Kyoto J. Math. 62, No. 2, 433--470 (2022; Zbl 1498.14062) Full Text: DOI arXiv
Czerniawska, Weronika; Dolce, Paolo Adelic geometry on arithmetic surfaces. II: Completed adeles and idelic Arakelov intersection theory. (English) Zbl 1444.14054 J. Number Theory 211, 235-296 (2020). Reviewer: Ana María Botero (Regensburg) MSC: 14G40 11G99 14C17 14J20 PDFBibTeX XMLCite \textit{W. Czerniawska} and \textit{P. Dolce}, J. Number Theory 211, 235--296 (2020; Zbl 1444.14054) Full Text: DOI arXiv
Braunling, O.; Groechenig, M.; Heleodoro, A.; Wolfson, J. On the normally ordered tensor product and duality for Tate objects. (English) Zbl 1411.14005 Theory Appl. Categ. 33, 296-349 (2018); corrigendum ibid. 39, 186-188 (2023). Reviewer: Alexander Vauth (Lübbecke) MSC: 14A22 18B30 PDFBibTeX XMLCite \textit{O. Braunling} et al., Theory Appl. Categ. 33, 296--349 (2018; Zbl 1411.14005) Full Text: arXiv Link
Osipov, Denis V. Second Chern numbers of vector bundles and higher adeles. (English) Zbl 1397.14056 Bull. Korean Math. Soc. 54, No. 5, 1699-1718 (2017). MSC: 14J60 14J20 PDFBibTeX XMLCite \textit{D. V. Osipov}, Bull. Korean Math. Soc. 54, No. 5, 1699--1718 (2017; Zbl 1397.14056) Full Text: DOI arXiv
Groechenig, Michael Adelic descent theory. (English) Zbl 1409.14033 Compos. Math. 153, No. 8, 1706-1746 (2017). MSC: 14F05 14D23 PDFBibTeX XMLCite \textit{M. Groechenig}, Compos. Math. 153, No. 8, 1706--1746 (2017; Zbl 1409.14033) Full Text: DOI arXiv
Oliver, T. Zeta integrals on arithmetic surfaces. (English) Zbl 1383.14007 St. Petersbg. Math. J. 27, No. 6, 1003-1028 (2016) and Algebra Anal. 27, No. 6, 199-233 (2015). MSC: 14G10 11G40 PDFBibTeX XMLCite \textit{T. Oliver}, St. Petersbg. Math. J. 27, No. 6, 1003--1028 (2016; Zbl 1383.14007) Full Text: DOI Link
Kaveh, Kiumars Crystal bases and Newton-Okounkov bodies. (English) Zbl 1428.14083 Duke Math. J. 164, No. 13, 2461-2506 (2015). MSC: 14M15 05E10 14M27 PDFBibTeX XMLCite \textit{K. Kaveh}, Duke Math. J. 164, No. 13, 2461--2506 (2015; Zbl 1428.14083) Full Text: DOI arXiv Euclid
Chinburg, T.; Pappas, G.; Taylor, M. J. Higher adeles and non-abelian Riemann-Roch. (English) Zbl 1349.14035 Adv. Math. 281, 928-1024 (2015). MSC: 14C40 14G40 PDFBibTeX XMLCite \textit{T. Chinburg} et al., Adv. Math. 281, 928--1024 (2015; Zbl 1349.14035) Full Text: DOI arXiv
Braunling, Oliver Geometric two-dimensional idèles with cycle module coefficients. (English) Zbl 1319.11082 Math. Nachr. 287, No. 17-18, 1954-1971 (2014). Reviewer: Valeriu Popa (Chişinău) MSC: 11R56 11G45 PDFBibTeX XMLCite \textit{O. Braunling}, Math. Nachr. 287, No. 17--18, 1954--1971 (2014; Zbl 1319.11082) Full Text: DOI arXiv
Liu, Dongwen Kato’s residue homomorphisms and reciprocity laws on arithmetic surfaces. (English) Zbl 1295.14031 Adv. Math. 251, 1-21 (2014). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 14H25 11S70 14G40 19D45 PDFBibTeX XMLCite \textit{D. Liu}, Adv. Math. 251, 1--21 (2014; Zbl 1295.14031) Full Text: DOI arXiv
Vostokov, Sergei V.; Gorchinskiy, Sergey O.; Zheglov, Alexander B.; Zarkhin, Yurii G.; Nesterenko, Yuri V.; Orlov, Dmitri O.; Osipov, Denis V.; Popov, Vladimir L.; Sergeev, Armen G.; Shafarevich, Igor R. Aleksei Nikolaevich Parshin (on his 70th birthday). (English. Russian original) Zbl 1266.01042 Russ. Math. Surv. 68, No. 1, 189-197 (2013); translation from Usp. Mat. Nauk 68, No. 1, 201-207 (2013). MSC: 01A70 PDFBibTeX XMLCite \textit{S. V. Vostokov} et al., Russ. Math. Surv. 68, No. 1, 189--197 (2013; Zbl 1266.01042); translation from Usp. Mat. Nauk 68, No. 1, 201--207 (2013) Full Text: DOI
Kaveh, Kiumars; Khovanskii, A. G. Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory. (English) Zbl 1270.14022 Ann. Math. (2) 176, No. 2, 925-978 (2012). Reviewer: Ivan V. Arzhantsev (Moscow) MSC: 14M17 14M25 PDFBibTeX XMLCite \textit{K. Kaveh} and \textit{A. G. Khovanskii}, Ann. Math. (2) 176, No. 2, 925--978 (2012; Zbl 1270.14022) Full Text: DOI arXiv
Osipov, D. V.; Parshin, A. N. Harmonic analysis and the Riemann-Roch theorem. (English. Russian original) Zbl 1350.14015 Dokl. Math. 84, No. 3, 826-829 (2011); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 441, No. 4, 444-448 (2011). Reviewer: Dmitri A. Timashev (Moskva) (MR2951489) MSC: 14C40 11R56 14G15 43A60 PDFBibTeX XMLCite \textit{D. V. Osipov} and \textit{A. N. Parshin}, Dokl. Math. 84, No. 3, 826--829 (2011; Zbl 1350.14015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 441, No. 4, 444--448 (2011) Full Text: DOI arXiv
Zhukov, I. B. Iversen’s formula for the second Chern classes of regular surfaces in any characteristic. (English. Russian original) Zbl 1206.14065 St. Petersbg. Math. J. 19, No. 5, 775-791 (2008); translation from Algebra Anal. 19, No. 5, 137-158 (2007). MSC: 14J29 14C17 14E20 14H30 PDFBibTeX XMLCite \textit{I. B. Zhukov}, St. Petersbg. Math. J. 19, No. 5, 775--791 (2008; Zbl 1206.14065); translation from Algebra Anal. 19, No. 5, 137--158 (2007) Full Text: DOI
Huang, I-Chiau An explicit construction of residual complexes. (English) Zbl 0979.13016 J. Algebra 225, No. 2, 698-739 (2000). Reviewer: Takesi Kawasaki (Tokyo) MSC: 13D25 PDFBibTeX XMLCite \textit{I-C. Huang}, J. Algebra 225, No. 2, 698--739 (2000; Zbl 0979.13016) Full Text: DOI
Brylinski, J.-L.; McLaughlin, D. A. The geometry of two-dimensional symbols. (English) Zbl 0870.32004 \(K\)-Theory 10, No. 3, 215-237 (1996). Reviewer: N.Mihalache (Bucureşti) MSC: 32C35 32A20 PDFBibTeX XMLCite \textit{J. L. Brylinski} and \textit{D. A. McLaughlin}, \(K\)-Theory 10, No. 3, 215--237 (1996; Zbl 0870.32004) Full Text: DOI
Sastry, Pramathanath Residues and duality for algebraic schemes. (English) Zbl 0902.14012 Compos. Math. 101, No. 2, 133-178 (1996). Reviewer: Amnon Yekutieli (MR 98a:14029) MSC: 14F10 13D15 PDFBibTeX XMLCite \textit{P. Sastry}, Compos. Math. 101, No. 2, 133--178 (1996; Zbl 0902.14012) Full Text: Numdam EuDML
Hübl, Reinhold Residues of regular and meromorphic differential forms. (English) Zbl 0814.14022 Math. Ann. 300, No. 4, 605-628 (1994). Reviewer: R.Hübl (Regensburg) MSC: 14F10 13N10 14C17 32A27 PDFBibTeX XMLCite \textit{R. Hübl}, Math. Ann. 300, No. 4, 605--628 (1994; Zbl 0814.14022) Full Text: DOI EuDML
Huber, A. On the Parshin-Beilinson adeles for schemes. (English) Zbl 0763.14006 Abh. Math. Semin. Univ. Hamb. 61, 249-273 (1991). Reviewer: B.Singh (Bombay) MSC: 14F20 11R56 PDFBibTeX XMLCite \textit{A. Huber}, Abh. Math. Semin. Univ. Hamb. 61, 249--273 (1991; Zbl 0763.14006) Full Text: DOI
Turner, S. A Gauss-Bonnet theorem for motivic cohomology. (English) Zbl 0727.14012 Invent. Math. 101, No. 1, 57-62 (1990). Reviewer: W.W.J.Hulsbergen (Breda) MSC: 14F45 14C35 14G10 14G15 14A20 11S40 PDFBibTeX XMLCite \textit{S. Turner}, Invent. Math. 101, No. 1, 57--62 (1990; Zbl 0727.14012) Full Text: DOI EuDML