Aoki, Ko Posets for which Verdier duality holds. (English) Zbl 07756890 Sel. Math., New Ser. 29, No. 5, Paper No. 78, 22 p. (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18B35 18N60 55M05 05E40 18B25 57N80 PDF BibTeX XML Cite \textit{K. Aoki}, Sel. Math., New Ser. 29, No. 5, Paper No. 78, 22 p. (2023; Zbl 07756890) Full Text: DOI arXiv OA License
Gross, Andreas; Shokrieh, Farbod A sheaf-theoretic approach to tropical homology. (English) Zbl 07739995 J. Algebra 635, 577-641 (2023). MSC: 14T05 14F05 14C17 52B40 14C25 PDF BibTeX XML Cite \textit{A. Gross} and \textit{F. Shokrieh}, J. Algebra 635, 577--641 (2023; Zbl 07739995) Full Text: DOI arXiv
Fresán, Javier; Sabbah, Claude; Yu, Jeng-Daw Quadratic relations between periods of connections. (English) Zbl 1518.14027 Tôhoku Math. J. (2) 75, No. 2, 175-213 (2023). Reviewer: Vladimir P. Kostov (Nice) MSC: 14F10 32G20 34M35 14F40 32C38 14D05 PDF BibTeX XML Cite \textit{J. Fresán} et al., Tôhoku Math. J. (2) 75, No. 2, 175--213 (2023; Zbl 1518.14027) Full Text: DOI arXiv
Olano, Sebastián Weighted Hodge ideals of reduced divisors. (English) Zbl 07699405 Forum Math. Sigma 11, Paper No. e51, 28 p. (2023). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14J17 32S25 14F10 14F17 PDF BibTeX XML Cite \textit{S. Olano}, Forum Math. Sigma 11, Paper No. e51, 28 p. (2023; Zbl 07699405) Full Text: DOI arXiv
Di Gennaro, Vincenzo; Franco, Davide; Sessa, Carmine Bivariant class of degree one. (English) Zbl 1497.14005 Result. Math. 77, No. 6, Paper No. 227, 21 p. (2022). MSC: 14B05 14E15 14F43 14F45 32S20 32S60 57P10 58K15 PDF BibTeX XML Cite \textit{V. Di Gennaro} et al., Result. Math. 77, No. 6, Paper No. 227, 21 p. (2022; Zbl 1497.14005) Full Text: DOI arXiv
Friedman, Greg; McClure, James E. Intersection homology duality and pairings: singular, PL and sheaf-theoretic. (English) Zbl 1493.55005 Algebr. Geom. Topol. 21, No. 7, 3221-3301 (2021). Reviewer: Andrzej Weber (Warszawa) MSC: 55N33 55N45 55N30 57Q99 PDF BibTeX XML Cite \textit{G. Friedman} and \textit{J. E. McClure}, Algebr. Geom. Topol. 21, No. 7, 3221--3301 (2021; Zbl 1493.55005) Full Text: DOI arXiv
Yu, Hao The equivalence between Feynman transform and Verdier duality. (English) Zbl 1480.18016 J. Homotopy Relat. Struct. 16, No. 3, 427-449 (2021). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18M50 18M05 14H10 18C15 32G15 PDF BibTeX XML Cite \textit{H. Yu}, J. Homotopy Relat. Struct. 16, No. 3, 427--449 (2021; Zbl 1480.18016) Full Text: DOI arXiv
Chataur, David; Saralegi-Aranguren, Martintxo; Tanré, Daniel Blown-up intersection cochains and Deligne’s sheaves. (English) Zbl 1521.55006 Geom. Dedicata 204, 315-337 (2020). Reviewer: Elisa Hartmann (Göttingen) MSC: 55N33 14F06 14F43 55M05 57P10 55U30 PDF BibTeX XML Cite \textit{D. Chataur} et al., Geom. Dedicata 204, 315--337 (2020; Zbl 1521.55006) Full Text: DOI arXiv
Maxim, Laurenţiu G. Intersection homology & perverse sheaves. With applications to singularities. (English) Zbl 1476.55001 Graduate Texts in Mathematics 281. Cham: Springer (ISBN 978-3-030-27643-0/hbk; 978-3-030-27644-7/ebook). xv, 270 p. (2019). Reviewer: Jon Woolf (Liverpool) MSC: 55-01 14-01 55N33 14F43 PDF BibTeX XML Cite \textit{L. G. Maxim}, Intersection homology \& perverse sheaves. With applications to singularities. Cham: Springer (2019; Zbl 1476.55001) Full Text: DOI
Gaitsgory, Dennis A “strange” functional equation for Eisenstein series and miraculous duality on the moduli stack of bundles. (English. French summary) Zbl 1423.11118 Ann. Sci. Éc. Norm. Supér. (4) 50, No. 5, 1123-1162 (2017). MSC: 11G45 14F10 14F05 14H60 PDF BibTeX XML Cite \textit{D. Gaitsgory}, Ann. Sci. Éc. Norm. Supér. (4) 50, No. 5, 1123--1162 (2017; Zbl 1423.11118) Full Text: arXiv Link
Gaitsgory, Dennis; Rozenblyum, Nick A study in derived algebraic geometry. Volume II: Deformations, Lie theory and formal geometry. (English) Zbl 1409.14003 Mathematical Surveys and Monographs 221, 2. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3570-7/hbk; 978-1-4704-3568-4/set; 978-1-4704-4087-9/ebook). xxxv, 436 p. (2017). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14-02 14A20 14F05 14F10 18D05 18G55 PDF BibTeX XML Cite \textit{D. Gaitsgory} and \textit{N. Rozenblyum}, A study in derived algebraic geometry. Volume II: Deformations, Lie theory and formal geometry. Providence, RI: American Mathematical Society (AMS) (2017; Zbl 1409.14003)
Tran, Minh-Hoang A formula for the S-class number of an algebraic torus. (English) Zbl 1406.11110 J. Number Theory 181, 218-239 (2017). MSC: 11R32 11G35 11R37 14F20 PDF BibTeX XML Cite \textit{M.-H. Tran}, J. Number Theory 181, 218--239 (2017; Zbl 1406.11110) Full Text: DOI arXiv
Schnürer, O. M.; Soergel, W. Proper base change for separated locally proper maps. (English) Zbl 1375.14063 Rend. Semin. Mat. Univ. Padova 135, 223-250 (2016). MSC: 14F05 54C05 PDF BibTeX XML Cite \textit{O. M. Schnürer} and \textit{W. Soergel}, Rend. Semin. Mat. Univ. Padova 135, 223--250 (2016; Zbl 1375.14063) Full Text: DOI arXiv
Drinfeld, Vladimir; Gaitsgory, Dennis On some finiteness questions for algebraic stacks. (English) Zbl 1272.14005 Geom. Funct. Anal. 23, No. 1, 149-294 (2013). Reviewer: Renaud Gauthier (Phoenix) MSC: 14A20 14F40 14F10 18D10 18E30 PDF BibTeX XML Cite \textit{V. Drinfeld} and \textit{D. Gaitsgory}, Geom. Funct. Anal. 23, No. 1, 149--294 (2013; Zbl 1272.14005) Full Text: DOI arXiv Backlinks: MO
Bunke, Ulrich; Schick, Thomas; Spitzweck, Markus Periodic twisted cohomology and T-duality. (English) Zbl 1245.55004 Astérisque 337. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-307-2/pbk). vi, 134 p. (2011). Reviewer: Jeffrey Giansiracusa (Swansea) MSC: 55N30 46M20 14F40 53C08 PDF BibTeX XML Cite \textit{U. Bunke} et al., Periodic twisted cohomology and T-duality. Paris: Société Mathématique de France (SMF) (2011; Zbl 1245.55004) Full Text: arXiv Link
Bezrukavnikov, Roman Perverse sheaves on affine flags and nilpotent cone of the Langlands dual group. (English) Zbl 1214.14012 Isr. J. Math. 170, 185-206 (2009). Reviewer: Christopher P. Bendel (Menomonie) MSC: 14F05 14D24 14L30 14M15 17B08 18E30 20G25 PDF BibTeX XML Cite \textit{R. Bezrukavnikov}, Isr. J. Math. 170, 185--206 (2009; Zbl 1214.14012) Full Text: DOI arXiv
Lazarev, A.; Voronov, A. A. Graph homology: Koszul and Verdier duality. (English) Zbl 1158.55006 Adv. Math. 218, No. 6, 1878-1894 (2008). Reviewer: Benoît Fresse (Villeneuve d’Ascq) MSC: 55N30 55U30 18D50 PDF BibTeX XML Cite \textit{A. Lazarev} and \textit{A. A. Voronov}, Adv. Math. 218, No. 6, 1878--1894 (2008; Zbl 1158.55006) Full Text: DOI arXiv
Ayoub, Joseph The Grothendieck six operations and the vanishing cycles formalism in the motivic world. I. (Les six opérations de Grothendieck et le formalisme des cycles évanescents dans le monde motivique. I.) (French) Zbl 1146.14001 Astérisque 314. Paris: Société Mathématique de France (ISBN 978-2-85629-244-0/pbk). x, 466 p. (2007). Reviewer: Piotr Krasoń (Szczecin) MSC: 14-02 14C25 14F20 14F35 14F42 18A40 18F10 18F20 18F25 18G55 19E15 PDF BibTeX XML Cite \textit{J. Ayoub}, Les six opérations de Grothendieck et le formalisme des cycles évanescents dans le monde motivique. I. Paris: Société Mathématique de France (2007; Zbl 1146.14001) Full Text: Link
Banagl, Markus Topological invariants of stratified spaces. (English) Zbl 1108.55001 Springer Monographs in Mathematics. Berlin: Springer (ISBN 3-540-38585-1/hbk). xii, 259 p. (2007). Reviewer: Gheorghe Pitiş (Braşov) MSC: 55-02 55N33 57N80 PDF BibTeX XML Cite \textit{M. Banagl}, Topological invariants of stratified spaces. Berlin: Springer (2007; Zbl 1108.55001)
Calderón Moreno, Francisco Javier; Narváez Macarro, Luis Duality and comparison for logarithmic de Rham complexes with respect to free divisors. (Dualité et comparaison pour les complexes de de Rham logarithmiques par rapport aux diviseurs libres.) (French) Zbl 1089.32003 Ann. Inst. Fourier 55, No. 1, 47-75 (2005). Reviewer: Gheorghe Gussi (Bucureşti) MSC: 32C38 14F40 32S40 32S20 PDF BibTeX XML Cite \textit{F. J. Calderón Moreno} and \textit{L. Narváez Macarro}, Ann. Inst. Fourier 55, No. 1, 47--75 (2005; Zbl 1089.32003) Full Text: DOI arXiv Numdam EuDML
Narváez Macarro, Luis The local duality theorem in \({\mathcal D}\)-module theory. (English) Zbl 1061.32007 Elements of the theory of geometric differential systems. Papers from the C.I.M.P.A summer school, Séville, Spain, September 1996. Paris: Société Mathématique de France (ISBN 2-85629-151-1/pbk). Séminaires et Congrès 8, 59-87 (2004). Reviewer: Alberto Parmeggiani (Bologna) MSC: 32C38 32S60 PDF BibTeX XML Cite \textit{L. Narváez Macarro}, Sémin. Congr. 8, 59--87 (2004; Zbl 1061.32007)
Bezrukavnikov, Roman; Braverman, Alexander; Mirkovic, Ivan Some results about geometric Whittaker model. (English) Zbl 1071.20039 Adv. Math. 186, No. 1, 143-152 (2004); corrigendum ibid. 394, Article ID 108014, 2 p. (2022). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 20G05 14F05 PDF BibTeX XML Cite \textit{R. Bezrukavnikov} et al., Adv. Math. 186, No. 1, 143--152 (2004; Zbl 1071.20039) Full Text: DOI arXiv
Dimca, Alexandru Sheaves in topology. (English) Zbl 1043.14003 Universitext. Berlin: Springer (ISBN 3-540-20665-5/pbk). xvi, 236 p. (2004). Reviewer: Werner Kleinert (Berlin) MSC: 14F05 14F43 14F17 14B05 32C18 14-02 14F10 55R65 PDF BibTeX XML Cite \textit{A. Dimca}, Sheaves in topology. Berlin: Springer (2004; Zbl 1043.14003)
Yanagawa, Kohji Stanley-Reisner rings, sheaves, and Poincaré-Verdier duality. (English) Zbl 1063.13016 Math. Res. Lett. 10, No. 5-6, 635-650 (2003). Reviewer: Emanuela De Negri (Genova) MSC: 13F55 13D03 PDF BibTeX XML Cite \textit{K. Yanagawa}, Math. Res. Lett. 10, No. 5--6, 635--650 (2003; Zbl 1063.13016) Full Text: DOI arXiv
Fausk, H.; Hu, P.; May, J. P. Isomorphisms between left and right adjoints. (English) Zbl 1042.18008 Theory Appl. Categ. 11, 107-131 (2003). Reviewer: Andreas Cap (Wien) MSC: 18D15 14A10 18D10 18E30 55U99 18F99 PDF BibTeX XML Cite \textit{H. Fausk} et al., Theory Appl. Categ. 11, 107--131 (2003; Zbl 1042.18008) Full Text: arXiv EuDML EMIS
Hu, Po Base change functors in the \(\mathbb{A}^1\)-stable homotopy category. (English) Zbl 1012.55017 Homology Homotopy Appl. 3, No. 2, 417-451 (2001). Reviewer: Andreas Cap (Wien) MSC: 55P91 14F35 14F05 14F42 PDF BibTeX XML Cite \textit{P. Hu}, Homology Homotopy Appl. 3, No. 2, 417--451 (2001; Zbl 1012.55017) Full Text: DOI EuDML EMIS
Adleff, Jürgen Cellular model categories and Grothendieck-Verdier duality in generalized cohomology. (Zelluläre Modellkategorien und Grothendieck-Verdier-Dualität in der verallgemeinerten Kohomologie.) (German) Zbl 0967.55006 Bonner Mathematische Schriften. 333. Bonn: Univ. Bonn, Mathematisch-Naturwissenschaftliche Fakultät, 85 S. (2000). MSC: 55N20 55N30 55M05 PDF BibTeX XML Cite \textit{J. Adleff}, Zelluläre Modellkategorien und Grothendieck-Verdier-Dualität in der verallgemeinerten Kohomologie. Bonn: Univ. Bonn, Mathematisch-Naturwissenschaftliche Fakultät (2000; Zbl 0967.55006)
Fimmel, Torsten Verdier duality for systems of coefficients over simplicial sets. (English) Zbl 0903.55008 Math. Nachr. 190, 51-122 (1998). Reviewer: M.Golasiński (Toruń) MSC: 55U30 18G30 18E30 PDF BibTeX XML Cite \textit{T. Fimmel}, Math. Nachr. 190, 51--122 (1998; Zbl 0903.55008) Full Text: DOI
Schneider, Peter Verdier duality on the building. (English) Zbl 0889.22014 J. Reine Angew. Math. 494, 205-218 (1998). Reviewer: H.Schröder (Dortmund) MSC: 22E50 55N30 55N35 55N25 PDF BibTeX XML Cite \textit{P. Schneider}, J. Reine Angew. Math. 494, 205--218 (1998; Zbl 0889.22014) Full Text: DOI
Saibi, Moussa Transformation de Fourier-Deligne sur les groupes unipotents. (Fourier-Deligne transformation on unipotent groups.). (French) Zbl 0863.14026 Ann. Inst. Fourier 46, No. 5, 1205-1242 (1996). MSC: 14L15 14F30 PDF BibTeX XML Cite \textit{M. Saibi}, Ann. Inst. Fourier 46, No. 5, 1205--1242 (1996; Zbl 0863.14026) Full Text: DOI Numdam EuDML
Michels, Willi Duality in the cohomology of locally constant sheaves. (Dualität bei der Kohomologie lokal-konstanter Garben.) (German) Zbl 0868.32013 Münster: Univ. Münster, FB Math. 58 p. (1996). Reviewer: K.Spallek (Bochum) MSC: 32C37 32-02 32C15 32C20 32C35 14A10 PDF BibTeX XML Cite \textit{W. Michels}, Dualität bei der Kohomologie lokal-konstanter Garben. Münster: Univ. Münster, FB Math. (1996; Zbl 0868.32013)
Massey, David B. Perversity, duality, and arrangements in \(\mathbb{C}^ 3\). (English) Zbl 0867.32018 Topology Appl. 73, No. 2, 169-179 (1996). Reviewer: G.Pfister (Kaiserslautern) MSC: 32S40 57R22 32S30 32B15 32C35 32S55 32C18 PDF BibTeX XML Cite \textit{D. B. Massey}, Topology Appl. 73, No. 2, 169--179 (1996; Zbl 0867.32018) Full Text: DOI
Spieß, Michael Artin-Verdier duality for arithmetic surfaces. (English) Zbl 0887.14008 Math. Ann. 305, No. 4, 705-792 (1996). Reviewer: A.N.Parshin (Moskva) MSC: 14F20 14G40 PDF BibTeX XML Cite \textit{M. Spieß}, Math. Ann. 305, No. 4, 705--792 (1996; Zbl 0887.14008) Full Text: DOI EuDML
Borel, Armand Introduction to middle intersection cohomology and perverse sheaves. (English) Zbl 0832.55005 Haboush, William J. (ed.) et al., Algebraic groups and their generalizations: classical methods. Summer Research Institute on algebraic groups and their generalizations, July 6-26, 1991, Pennsylvania State University, University Park, PA, USA. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 56, Pt. 1, 25-52 (1994). Reviewer: M.Saralegi-Aranguren (Madrid) MSC: 55N33 14F43 32S60 20G05 PDF BibTeX XML Cite \textit{A. Borel}, Proc. Symp. Pure Math. 56, 25--52 (1994; Zbl 0832.55005)
Spieß, Michael Artin-Verdier duality for arithmetic surfaces. (Artin-Verdier Dualität für arithmetische Flächen.) (German) Zbl 0874.14009 Regensburg: Fak. Math., Univ. Regensburg, 114 S. (1993). Reviewer: G.van der Geer (Amsterdam) MSC: 14F99 14G40 PDF BibTeX XML Cite \textit{M. Spieß}, Artin-Verdier Dualität für arithmetische Flächen. Regensburg: Fak. Math., Univ. Regensburg (1993; Zbl 0874.14009)
Joshua, Roy Generalised Verdier duality for presheaves of spectra. I. (English) Zbl 0751.18008 J. Pure Appl. Algebra 70, No. 3, 273-289 (1991). MSC: 18G10 18F20 55P42 PDF BibTeX XML Cite \textit{R. Joshua}, J. Pure Appl. Algebra 70, No. 3, 273--289 (1991; Zbl 0751.18008) Full Text: DOI
Kashiwara, Masaki; Schapira, Pierre [Houzel, Christian] Sheaves on manifolds. With a short history “Les débuts de la théorie des faisceaux” by Christian Houzel. (English) Zbl 0709.18001 Grundlehren der Mathematischen Wissenschaften, 292. Berlin etc.: Springer-Verlag. x, 512 p. DM 168.00 (1990). Reviewer: G.Gussi MSC: 18-02 18F20 55N30 14F10 58J40 46F15 35S10 32A45 PDF BibTeX XML Cite \textit{M. Kashiwara} and \textit{P. Schapira}, Sheaves on manifolds. With a short history ``Les débuts de la théorie des faisceaux'' by Christian Houzel. Berlin etc.: Springer-Verlag (1990; Zbl 0709.18001) Backlinks: MO
Douady, A. Hommage à Jean-Louis Verdier. (Homage to Jean-Louis Verdier). (French) Zbl 0694.01018 Gaz. Math., Soc. Math. Fr. 43, 11-14 (1990). Reviewer: J.Dieudonné MSC: 01A70 14-03 01A60 PDF BibTeX XML Cite \textit{A. Douady}, Gaz. Math., Soc. Math. Fr. 43, 11--14 (1990; Zbl 0694.01018)
Nart, Enric The Bloch complex in codimension one and arithmetic duality. (English) Zbl 0728.14002 J. Number Theory 32, No. 3, 321-331 (1989). MSC: 14C05 11G45 14F20 14C15 14M07 PDF BibTeX XML Cite \textit{E. Nart}, J. Number Theory 32, No. 3, 321--331 (1989; Zbl 0728.14002) Full Text: DOI
Bienenfeld, Mel An étale cohomology duality theorem for number fields with a real embedding. (English) Zbl 0629.12006 Trans. Am. Math. Soc. 303, 71-96 (1987). Reviewer: P.Bayer MSC: 11R34 11R37 14F20 PDF BibTeX XML Cite \textit{M. Bienenfeld}, Trans. Am. Math. Soc. 303, 71--96 (1987; Zbl 0629.12006) Full Text: DOI
Deninger, Christopher Duality in the étale cohomology of one-dimensional proper schemes and generalizations. (English) Zbl 0607.14011 Math. Ann. 277, 529-541 (1987). MSC: 14F20 PDF BibTeX XML Cite \textit{C. Deninger}, Math. Ann. 277, 529--541 (1987; Zbl 0607.14011) Full Text: DOI EuDML
Deninger, Christopher An extension of Artin-Verdier duality to non-torsion sheaves. (English) Zbl 0599.14017 J. Reine Angew. Math. 366, 18-31 (1986). Reviewer: G.Horrocks MSC: 14F20 14F05 12G05 PDF BibTeX XML Cite \textit{C. Deninger}, J. Reine Angew. Math. 366, 18--31 (1986; Zbl 0599.14017) Full Text: DOI Crelle EuDML
Grivel, Pierre-Paul Une démonstration du théorème de dualité de Verdier. (French) Zbl 0612.55005 Enseign. Math., II. Sér. 31, 227-247 (1985). Reviewer: L.Bădescu MSC: 55N30 14F20 55M05 14F10 PDF BibTeX XML Cite \textit{P.-P. Grivel}, Enseign. Math. (2) 31, 227--247 (1985; Zbl 0612.55005)
Deninger, Christopher On Artin-Verdier duality for function fields. (English) Zbl 0585.14014 Math. Z. 188, 91-100 (1984). Reviewer: E.Kani MSC: 14F20 11R34 11R58 PDF BibTeX XML Cite \textit{C. Deninger}, Math. Z. 188, 91--100 (1984; Zbl 0585.14014) Full Text: DOI EuDML
Borel, Armand (ed.) [Haefliger, André; Habegger, Nathan; Goresky, Mark; MacPherson, Robert; A’Campo, Norbert; Borel, Armand; Spaltenstein, N.; Grivel, P. P.] Intersection cohomology. (Notes of a Seminar on Intersection Homology at the University of Bern, Switzerland, Spring 1983). (English) Zbl 0553.14002 Progress in Mathematics, Vol. 50. Swiss Seminars. Boston-Basel-Stuttgart: Birkhäuser. X, 234 p. DM. 58.00 (1984). Reviewer: C.T.C.Wall MSC: 14C17 14F05 14-06 55-06 14-02 14F99 00Bxx PDF BibTeX XML
Beilinson, A. A.; Bernstein, J.; Deligne, Pierre Perverse sheaves. (Faisceaux pervers.) (French) Zbl 0536.14011 Astérisque 100, 172 p. (1982). Reviewer: C. T. C. Wall MSC: 14F05 18F20 14-02 14G15 14C30 PDF BibTeX XML