Positselski, Leonid; Šťovíček, Jan Flat quasi-coherent sheaves as directed colimits, and quasi-coherent cotorsion periodicity. (English) Zbl 07981888 Algebr. Represent. Theory 27, No. 6, 2267-2293 (2024). MSC: 14F08 18F20 18G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bondarko, Mikhail V. Producing new semi-orthogonal decompositions in arithmetic geometry. (English. Russian original) Zbl 07945684 Sb. Math. 215, No. 4, 511-542 (2024); translation from Mat. Sb. 215, No. 4, 81-116 (2024). MSC: 18G80 14F08 18A40 18E10 14A15 14G40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv MNR
Meazzini, Francesco A DG-enhancement of \(\mathrm{D}_{qc}(X)\) with applications in deformation theory. (English) Zbl 1539.14035 Appl. Categ. Struct. 32, No. 3, Paper No. 12, 36 p. (2024). Reviewer: Emma Lepri (Glasgow) MSC: 14F08 14D15 16W50 18N40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhao, Yu A categorical quantum toroidal action on the Hilbert schemes. (English) Zbl 1537.14019 J. Inst. Math. Jussieu 23, No. 2, 897-940 (2024). Reviewer: Zhenbo Qin (Columbia) MSC: 14D20 20G42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jacovskis, Augustinas; Lin, Xun; Liu, Zhiyu; Zhang, Shizhuo Categorical Torelli theorems for Gushel-Mukai threefolds. (English) Zbl 1547.14027 J. Lond. Math. Soc., II. Ser. 109, No. 3, Article ID e12878, 52 p. (2024). Reviewer: Zhenbo Qin (Columbia) MSC: 14F08 14D20 14D22 14J45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Novaković, Saša On nonexistence of full exceptional collections on some relative flags. (English) Zbl 1540.14042 Rocky Mt. J. Math. 53, No. 6, 1953-1964 (2023). MSC: 14F08 14G05 14M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Bondal, Alexey I.; Roslyi, Alexei A. Coherent sheaves, Chern classes, and superconnections on compact complex-analytic manifolds. (English. Russian original) Zbl 1533.14018 Izv. Math. 87, No. 3, 439-468 (2023); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 3, 23-55 (2023). MSC: 14F43 14F08 14A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv MNR
Côté, Laurent; Kartal, Yusuf Barış Categorical action filtrations via localization and the growth as a symplectic invariant. (English) Zbl 1520.53074 J. Reine Angew. Math. 801, 173-238 (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 53D37 53D40 14F08 14J33 57R58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hosgood, Timothy Simplicial Chern-Weil theory for coherent analytic sheaves. I. (La théorie de Chern-Weil simpliciale pour les faisceaux analytiques cohérents. I.) (English. French summary) Zbl 1539.14005 Bull. Soc. Math. Fr. 151, No. 1, 127-170 (2023). MSC: 14A30 14F08 18N60 32C35 18F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hrbek, Michal; Pavon, Sergio Singular equivalences to locally coherent hearts of commutative Noetherian rings. (English) Zbl 1536.13021 J. Algebra 632, 117-153 (2023). MSC: 13E05 18G10 14F08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kovács, Sándor J.; Taji, Behrouz Hodge sheaves underlying flat projective families. (English) Zbl 1511.14019 Math. Z. 303, No. 3, Paper No. 75, 34 p. (2023). Reviewer: Sara Torelli (Pavia) MSC: 14D06 14E05 14E30 14D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beraldo, Dario The center of the categorified ring of differential operators. (English) Zbl 1506.14031 J. Eur. Math. Soc. (JEMS) 23, No. 6, 1999-2049 (2021). MSC: 14D24 14F08 14F10 18F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fiorot, Luisa \(n\)-quasi-abelian categories vs \(n\)-tilting torsion pairs. (English) Zbl 1465.18006 Doc. Math. 26, 149-197 (2021). Reviewer: Sven-Ake Wegner (Hamburg) MSC: 18E05 18E20 18E40 14F08 16S90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Elagin, Alexey; Lunts, Valery A. Thick subcategories on curves. (English) Zbl 1457.14037 Adv. Math. 378, Article ID 107525, 20 p. (2021). MSC: 14F08 14H60 16G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hosseini, Esmaeil The homotopy category of cotorsion flat quasi-coherent sheaves over quasi-compact and quasi-separated schemes. (Persian. English summary) Zbl 1471.14041 JAMM, J. Adv. Math. Model. 10, No. 2, 341-355 (2020). MSC: 14F08 18G80 × Cite Format Result Cite Review PDF Full Text: DOI
Hrbek, Michal; Stovícek, Jan; Trlifaj, Jan Zariski locality of quasi-coherent sheaves associated with tilting. (English) Zbl 1460.14045 Indiana Univ. Math. J. 69, No. 5, 1733-1762 (2020). MSC: 14F08 16D10 18F20 16D40 13C13 13D07 18E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guseva, L. A. On the derived category of \(\text{IGr}(3,8)\). (English. Russian original) Zbl 1455.14036 Sb. Math. 211, No. 7, 922-955 (2020); translation from Mat. Sb. 211, No. 7, 24-59 (2020). MSC: 14F08 14M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rennemo, Jørgen Vold The homological projective dual of \(\operatorname{Sym}^2\mathbb{P}(V)\). (English) Zbl 1453.14053 Compos. Math. 156, No. 3, 476-525 (2020). MSC: 14F08 14J33 16E35 53D37 18G80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Galkin, Sergey; Iritani, Hiroshi Gamma conjecture via mirror symmetry. (English) Zbl 1452.53073 Hori, Kentaro (ed.) et al., Primitive forms and related subjects – Kavli IPMU 2014. Proceedings of the international conference, University of Tokyo, Tokyo, Japan, February 10–14, 2014. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 83, 55-115 (2019). MSC: 53D37 14N35 14J45 14J33 11G42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Vologodsky, Vadim Triangulated endofunctors of the derived category of coherent sheaves which do not admit DG liftings. (English) Zbl 1439.18019 Arnold Math. J. 5, No. 2-3, 387-391 (2019). MSC: 18G80 18G35 14F08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vologodsky, Vadim Triangulated endofunctors of the derived category of coherent sheaves which do not admit DG liftings. (English) Zbl 1439.14143 Arnold Math. J. 5, No. 1, 139-143 (2019). MSC: 14M15 18G80 18G35 14F08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kanda, Ryo Non-exactness of direct products of quasi-coherent sheaves. (English) Zbl 1451.14049 Doc. Math. 24, 2037-2056 (2019). Reviewer: Constantin Năstăsescu (Bucureşti) MSC: 14F08 18E20 16D90 16W50 13C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Iacono, Donatella; Manetti, Marco On deformations of pairs (manifold, coherent sheaf). (English) Zbl 1436.14025 Can. J. Math. 71, No. 5, 1209-1241 (2019). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14D15 14F08 13D10 17B70 18G50 18G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nuiten, Joost Koszul duality for Lie algebroids. (English) Zbl 1433.14007 Adv. Math. 354, Article ID 106750, 63 p. (2019). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14D15 14F08 18G70 18G35 18D70 18G80 14A20 17B99 53D17 58H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Liu, Wanmin; Yang, Song; Yu, Xun Classification of full exceptional collections of line bundles on three blow-ups of \(\mathbb{P}^{3}\). (English) Zbl 1477.14030 J. Korean Math. Soc. 56, No. 2, 387-419 (2019). Reviewer: Bronson Lim (San Bernardino) MSC: 14F08 14J45 18G80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kuznetsov, A. G. Embedding derived categories of Enriques surfaces in derived categories of Fano varieties. (English. Russian original) Zbl 1427.14040 Izv. Math. 83, No. 3, 534-539 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 3, 127-132 (2019). Reviewer: Laura Pertusi (Milano) MSC: 14F08 13D09 14J45 14J28 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballard, Matthew; Favero, David; Katzarkov, Ludmil Variation of geometric invariant theory quotients and derived categories. (English) Zbl 1432.14015 J. Reine Angew. Math. 746, 235-303 (2019). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14F08 14L24 14D07 14D22 18G80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Orlov, Dmitriĭ O. Derived noncommutative schemes, geometric realizations, and finite dimensional algebras. (English. Russian original) Zbl 1430.14006 Russ. Math. Surv. 73, No. 5, 865-918 (2018); translation from Usp. Mat. Nauk 73, No. 5, 123-182 (2018). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14A30 14A22 16E45 18G80 14F08 18G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Achar, Pramod N.; Cooney, Nicholas; Riche, Simon The parabolic exotic t-structure. (La t-structure exotique parabolique.) (English. French summary) Zbl 1408.14064 Épijournal de Géom. Algébr., EPIGA 2, Paper No. 8, 31 p. (2018). Reviewer: Mee Seong Im (New Windsor) MSC: 14F05 14M15 20G05 20G44 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Auroux, Denis Speculations on homological mirror symmetry for hypersurfaces in \((\mathbb{C}^{\ast})^n\). (English) Zbl 1406.53086 Cao, Huai-Dong (ed.) et al., Celebrating the 50th anniversary of the Journal of Differential Geometry. Lectures given at the Geometry and Topology Conference at Harvard University, Cambridge, MA, USA, April 28 – May 2, 2017. Somerville, MA: International Press (ISBN 978-1-57146-361-6/hbk). Surveys in Differential Geometry 22, 1-47 (2018). Reviewer: Akira Asada (Takarazuka) MSC: 53D37 14J33 14F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lekili, Yankı; Polishchuk, Alexander Auslander orders over nodal stacky curves and partially wrapped Fukaya categories. (English) Zbl 1403.53075 J. Topol. 11, No. 3, 615-644 (2018). Reviewer: Akira Asada (Takarazuka) MSC: 53D37 14J33 18F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kuznetsov, Alexander; Perry, Alexander Derived categories of Gushel-Mukai varieties. (English) Zbl 1401.14181 Compos. Math. 154, No. 7, 1362-1406 (2018). Reviewer: Tanya Srivastava (Klosterneuburg) MSC: 14J45 14E08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brandenburg, Martin Rosenberg’s reconstruction theorem. (English) Zbl 1415.18004 Expo. Math. 36, No. 1, 98-117 (2018). Reviewer: Arvid Siqveland (Kongsberg) MSC: 18E15 14F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arinkin, D.; Gaitsgory, D. The category of singularities as a crystal and global Springer fibers. (English) Zbl 1388.14042 J. Am. Math. Soc. 31, No. 1, 135-214 (2018). Reviewer: Sergiy Koshkin (Houston) MSC: 14D24 14F05 14H60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Favero, David; Kelly, Tyler L. Proof of a conjecture of Batyrev and Nill. (English) Zbl 1390.14124 Am. J. Math. 139, No. 6, 1493-1520 (2017). Reviewer: Amin Gholampour (College Park) MSC: 14J33 14M25 14F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kerr, Gabriel Homological mirror symmetry of elementary birational cobordisms. (English) Zbl 1379.53099 Sel. Math., New Ser. 23, No. 4, 2801-2847 (2017). Reviewer: Akira Asada (Takarazuka) MSC: 53D37 53D05 57R90 14J33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hassett, Brendan; Tschinkel, Yuri Rational points on \(K3\) surfaces and derived equivalence. (English) Zbl 1386.14136 Auel, Asher (ed.) et al., Brauer groups and obstruction problems. Moduli spaces and arithmetic. Basel: Birkhäuser/Springer (ISBN 978-3-319-46851-8/hbk; 978-3-319-46852-5/ebook). Progress in Mathematics 320, 87-113 (2017). MSC: 14J28 14G20 14F05 11G25 14G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hosseini, Esmaeil Bounded complexes of cotorsion sheaves. (English) Zbl 1370.14020 Commun. Algebra 45, No. 7, 3068-3074 (2017). Reviewer: Marek Golasiński (Olsztyn) MSC: 14F05 18E30 16E40 16E05 13D05 × Cite Format Result Cite Review PDF Full Text: DOI
Cautis, Sabin; Kamnitzer, Joel Knot homology via derived categories of coherent sheaves. IV: Coloured links. (English) Zbl 1378.14011 Quantum Topol. 8, No. 2, 381-411 (2017). MSC: 14F05 57M27 18D05 18F30 55N22 18E30 14M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kuznetsov, Alexander; Perry, Alexander Derived categories of cyclic covers and their branch divisors. (English) Zbl 1365.14021 Sel. Math., New Ser. 23, No. 1, 389-423 (2017). Reviewer: Shintaro Yanagida (Nagoya) MSC: 14F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hosseini, Esmaeil Flat quasi-coherent sheaves of finite cotorsion dimension. (English) Zbl 1355.14013 J. Algebra Appl. 16, No. 1, Article ID 1750015, 7 p. (2017). MSC: 14F05 18G20 18E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vial, Charles Exceptional collections, and the Néron-Severi lattice for surfaces. (English) Zbl 1387.14061 Adv. Math. 305, 895-934 (2017). Reviewer: Julien Grivaux (Marseille) MSC: 14F05 14C20 14J26 14J29 14G27 14C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Galkin, Sergey; Golyshev, Vasily; Iritani, Hiroshi Gamma classes and quantum cohomology of Fano manifolds: gamma conjectures. (English) Zbl 1350.14041 Duke Math. J. 165, No. 11, 2005-2077 (2016). Reviewer: Ruifang Song (Mountain View) MSC: 14N35 53D37 11G42 14J45 14J33 14M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Coates, Tom; Iritani, Hiroshi; Jiang, Yunfeng; Segal, Ed \(K\)-theoretic and categorical properties of toric Deligne-Mumford stacks. (English) Zbl 1349.14006 Pure Appl. Math. Q. 11, No. 2, 239-266 (2015). MSC: 14A20 14F05 19L47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Achar, Pramod N. On exotic and perverse-coherent sheaves. (English) Zbl 1343.20047 Nevins, Monica (ed.) et al., Representations of reductive groups. In honor of the 60th birthday of David A. Vogan, Jr. Proceedings of the conference, MIT, Cambridge, MA, USA, May 19–23, 2014. Cham: Birkhäuser/Springer (ISBN 978-3-319-23442-7/hbk; 978-3-319-23443-4/ebook). Progress in Mathematics 312, 11-49 (2015). MSC: 20G05 14F05 17B08 14L30 14M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Alonso Tarrío, Leovigildo; Jeremías López, Ana; Pérez Rodríguez, Marta; Vale Gonsalves, María J. A functorial formalism for quasi-coherent sheaves on a geometric stack. (English) Zbl 1386.14009 Expo. Math. 33, No. 4, 452-501 (2015). MSC: 14A20 14F05 18F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Halpern-Leistner, Daniel The derived category of a GIT quotient. (English) Zbl 1354.14029 J. Am. Math. Soc. 28, No. 3, 871-912 (2015). Reviewer: Will Donovan (Chiba Kashiwa) MSC: 14F05 14L24 14L30 19L47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gaitsgory, Dennis; Rozenblyum, Nick DG indschemes. (English) Zbl 1316.14006 Etingof, Pavel (ed.) et al., Perspectives in representation theory. A conference in honor of Igor Frenkel’s 60th birthday on perspectives in representation theory, Yale University, New Haven, CT, USA, May 12–17, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9170-4/pbk; 978-1-4704-1523-5/ebook). Contemporary Mathematics 610, 139-251 (2014). Reviewer: Werner Kleinert (Berlin) MSC: 14A20 14D24 14F05 14M15 18D05 18F20 × Cite Format Result Cite Review PDF Full Text: arXiv
Böhning, Christian; Graf von Bothmer, Hans-Christian; Sosna, Pawel On the Jordan-Hölder property for geometric derived categories. (English) Zbl 1311.14021 Adv. Math. 256, 479-492 (2014). Reviewer: Zsolt Patakfalvi (Princeton) MSC: 14F05 14J29 18E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Odabaşı, Sinem Locally torsion-free quasi-coherent sheaves. (English) Zbl 1287.13010 J. Pure Appl. Algebra 218, No. 9, 1760-1770 (2014). Reviewer: Ana Rita Martins (Lisbon) MSC: 13D30 18F20 14F05 18A30 18E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Netay, I. V. Syzygy algebras for Segre embeddings. (English. Russian original) Zbl 1326.13011 Funct. Anal. Appl. 47, No. 3, 210-226 (2013); translation from Funkts. Anal. Prilozh. 47, No. 3, 54-74 (2013). Reviewer: Elena Guardo (Catania) MSC: 13D02 14E25 13D09 14F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hosseini, E.; Salarian, Sh. A cotorsion theory in the homotopy category of flat quasi-coherent sheaves. (English) Zbl 1264.18016 Proc. Am. Math. Soc. 141, No. 3, 753-762 (2013). Reviewer: Pawel Sosna (Hamburg) MSC: 18E30 16E40 16E05 13D05 14F05 18G55 × Cite Format Result Cite Review PDF Full Text: DOI
Achar, Pramod N. Perverse coherent sheaves on the nilpotent cone in good characteristic. (English) Zbl 1320.20040 Misra, Kailash C. (ed.) et al., Recent developments in Lie algebras, groups and representation theory. 2009-2011 Southeastern Lie theory workshop series: Combinatorial Lie theory and applications, North Carolina State University, Raleigh, NC, USA, October 9–11, 2009. Homological methods in representation theory, University of Georgia, Athens, GA, USA, May 22–24, 2010. Finite and algebraic groups, University of Virgina, Charlottesville, VA, USA, June 1–4, 2011. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6917-8/hbk). Proceedings of Symposia in Pure Mathematics 86, 1-23 (2012). MSC: 20G05 14F05 17B08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hüttemann, Thomas A splitting result for the algebraic \(K\)-theory of projective toric schemes. (English) Zbl 1281.18003 J. Homotopy Relat. Struct. 7, No. 1, 1-30 (2012). MSC: 18F25 14F05 14M25 18F20 18G35 19E08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Achar, Pramod N.; Treumann, David Purity and decomposition theorems for staggered sheaves. (English) Zbl 1276.14024 J. Inst. Math. Jussieu 11, No. 4, 695-745 (2012). Reviewer: Pawel Sosna (Hamburg) MSC: 14F05 18F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Estrada, Sergio; Guil Asensio, Pedro A.; Prest, Mike; Trlifaj, Jan Model category structures arising from Drinfeld vector bundles. (English) Zbl 1266.14014 Adv. Math. 231, No. 3-4, 1417-1438 (2012). Reviewer: Martin Kalck (Bielefeld) MSC: 14F05 55U35 18G35 18E30 18E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barot, Michael; Geiss, Christof Tubular cluster algebras. I: Categorification. (English) Zbl 1271.13042 Math. Z. 271, No. 3-4, 1091-1115 (2012). Reviewer: Bethany Marsh (Leeds) MSC: 13F60 16G20 14F05 18E30 57Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Favero, David Reconstruction and finiteness results for Fourier-Mukai partners. (English) Zbl 1253.14016 Adv. Math. 230, No. 4-6, 1955-1971 (2012). Reviewer: Marcello Bernardara (Toulouse) MSC: 14F05 18E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Stroppel, Catharina; Webster, Ben 2-block Springer fibers: convolution algebras and coherent sheaves. (English) Zbl 1241.14009 Comment. Math. Helv. 87, No. 2, 477-520 (2012). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 14F05 17B10 44A35 16G10 14F25 53D40 57M27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Meinhardt, Sven Stability conditions on generic complex tori. (English) Zbl 1240.14008 Int. J. Math. 23, No. 5, 1250035, 17 p. (2012). Reviewer: Pawel Sosna (Hamburg) MSC: 14J32 18E30 18E10 14F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Burgos Gil, José Ignacio; Freixas i Montplet, Gerard; Liţcanu, Răzvan Hermitian structures on the derived category of coherent sheaves. (English. French summary) Zbl 1248.18011 J. Math. Pures Appl. (9) 97, No. 5, 424-459 (2012). Reviewer: Pawel Sosna (Hamburg) MSC: 18E30 14F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Herbera, Dolors; Trlifaj, Jan Almost free modules and Mittag-Leffler conditions. (English) Zbl 1279.16001 Adv. Math. 229, No. 6, 3436-3467 (2012). Reviewer: Blas Torrecillas (Almeria) MSC: 16D40 16E30 16D70 14F05 18F20 03E75 16B70 03C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dou, Rujing; Sheng, Jie; Xiao, Jie Complex Lie algebras corresponding to weighted projective lines. (English) Zbl 1314.14062 Front. Math. China 6, No. 4, 629-639 (2011). Reviewer: Helge Maakestad (Bergen) MSC: 14H60 17B10 17B22 14F05 18E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Futaki, Masahiro; Ueda, Kazushi Homological mirror symmetry for Brieskorn-Pham singularities. (English) Zbl 1250.53076 Sel. Math., New Ser. 17, No. 2, 435-452 (2011). Reviewer: Akira Asada (Takarazuka) MSC: 53D37 16G50 14J33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Neeman, Amnon Explicit cogenerators for the homotopy category of projective modules over a ring. (Cogénérateurs explicites pour la catégorie homotopique des modules projectifs sur un anneau.) (English. French summary) Zbl 1258.16013 Ann. Sci. Éc. Norm. Supér. (4) 44, No. 4, 607-629 (2011). Reviewer: Radoslav M. Dimitrić (New York) MSC: 16E35 18E30 16D90 18G55 18F20 55U15 14A22 14F05 16B50 × Cite Format Result Cite Review PDF Full Text: DOI Link
Kapustin, Anton Topological field theory, higher categories, and their applications. (English) Zbl 1233.57018 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. III: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-33-5/hbk; 978-81-85931-08-3/hbk; 978-981-4324-30-4/set; 978-981-4324-35-9/ebook). 2021-2043 (2011). Reviewer: Ren Guo (Corvallis) MSC: 57R56 81T45 18D05 14D24 14F05 × Cite Format Result Cite Review PDF Full Text: arXiv
Inaba, Michi-aki Smoothness of the moduli space of complexes of coherent sheaves on an Abelian or a projective K3 surface. (English) Zbl 1220.14010 Adv. Math. 227, No. 4, 1399-1412 (2011). Reviewer: Pawel Sosna (Milano) MSC: 14D20 18E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rouquier, Raphaël Derived categories and algebraic geometry. (English) Zbl 1208.14006 Holm, Thorsten (ed.) et al., Triangulated categories. Based on a workshop, Leeds, UK, August 2006. Cambridge: Cambridge University Press (ISBN 978-0-521-74431-7/pbk). London Mathematical Society Lecture Note Series 375, 351-370 (2010). Reviewer: Pawel Sosna (Milano) MSC: 14C35 18E30 18E10 × Cite Format Result Cite Review PDF
Arinkin, Dmitry; Bezrukavnikov, Roman Perverse coherent sheaves. (English) Zbl 1205.18010 Mosc. Math. J. 10, No. 1, 3-29 (2010). Reviewer: Pawel Sosna (Milano) MSC: 18F20 14A20 14F05 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Hüttemann, Thomas On the derived category of a regular toric scheme. (English) Zbl 1275.14013 Geom. Dedicata 148, 175-203 (2010). MSC: 14F05 18E30 18F20 18G55 55U35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barot, M.; Kussin, D.; Lenzing, H. The cluster category of a canonical algebra. (English) Zbl 1209.18010 Trans. Am. Math. Soc. 362, No. 8, 4313-4330 (2010). Reviewer: Bethany Marsh (Leeds) MSC: 18E30 16G20 13F60 14F05 18F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Coandă, Iustin The Horrocks correspondence for coherent sheaves on projective spaces. (English) Zbl 1197.14012 Homology Homotopy Appl. 12, No. 1, 327-353 (2010). Reviewer: Marcello Bernardara (Essen) MSC: 14F05 13A02 18E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Treumann, David Staggered \(t\)-structures on toric varieties. (English) Zbl 1190.14017 J. Algebra 323, No. 5, 1212-1225 (2010). Reviewer: Marcello Bernardara (Essen) MSC: 14F05 14M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Salas, Fernando Sancho Koszul complexes and fully faithful integral functors. (English) Zbl 1192.18008 Bull. Lond. Math. Soc. 41, No. 6, 1085-1094 (2009). Reviewer: Mladen Božičević (Varaždin) MSC: 18E30 14F05 14E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aspinwall, S.; Bridgeland, Tom; Craw, Alastair; Douglas, Michael R.; Gross, Mark; Kapustin, Anton; Moore, Gregory W.; Segal, Graeme; Szendrői, Balázs; Wilson, P. M. H. Dirichlet branes and mirror symmetry. (English) Zbl 1188.14026 Clay Mathematics Monographs 4. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-3848-8/hbk). ix, 681 p. (2009). Reviewer: Sergiy Koshkin (Houston) MSC: 14J32 14-02 81T30 32Q25 18E30 32G81 83E30 81T45 81T40 81T75 × Cite Format Result Cite Review PDF
Bartocci, Claudio; Bruzzo, Ugo; Hernández Ruipérez, Daniel Fourier-Mukai and Nahm transforms in geometry and mathematical physics. (English) Zbl 1186.14001 Progress in Mathematics 276. Basel: Birkhäuser (ISBN 978-0-8176-3246-5/hbk; 978-0-8176-4663-9/ebook). xvi, 423 p. (2009). Reviewer: Adrian Langer (Warszawa) MSC: 14-02 14F05 14D06 14J60 18E30 53C07 × Cite Format Result Cite Review PDF Full Text: DOI
Lenzing, Helmut; Meltzer, Hagen Exceptional pairs in hereditary categories. (English) Zbl 1179.14016 Commun. Algebra 37, No. 8, 2547-2556 (2009). Reviewer: Tong Wenting (Nanjing) MSC: 14F05 16G20 × Cite Format Result Cite Review PDF Full Text: DOI
Perego, Arvid A Gabriel theorem for coherent twisted sheaves. (English) Zbl 1175.14011 Math. Z. 262, No. 3, 571-583 (2009). Reviewer: Mladen Božičević (Varaždin) MSC: 14F05 14F22 18F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Toda, Yukinobu Deformations and Fourier-Mukai transforms. (English) Zbl 1165.14019 J. Differ. Geom. 81, No. 1, 197-224 (2009). Reviewer: Iustin Coandă (Bucureşti) MSC: 14F05 14D15 16E40 18E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Verbitsky, Misha Coherent sheaves on general \(K3\) surfaces and tori. (English) Zbl 1181.14026 Pure Appl. Math. Q. 4, No. 3, 651-714 (2008). Reviewer: Bernd Kreußler (Limerick) MSC: 14F05 14J60 14J28 14J32 32L25 32C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kuznetsov, Alexander Exceptional collections for Grassmannians of isotropic lines. (English) Zbl 1168.14032 Proc. Lond. Math. Soc. (3) 97, No. 1, 155-182 (2008). Reviewer: Vasile Brînzănescu (Bucureşti) MSC: 14M15 18E30 14F05 14J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kuznetsov, Alexander Derived categories of quadric fibrations and intersections of quadrics. (English) Zbl 1168.14012 Adv. Math. 218, No. 5, 1340-1369 (2008). Reviewer: Vasile Brînzănescu (Bucureşti) MSC: 14F05 14J60 18E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cautis, Sabin; Kamnitzer, Joel Knot homology via derived categories of coherent sheaves. I: The \(\mathfrak{sl}(2)\)-case. (English) Zbl 1145.14016 Duke Math. J. 142, No. 3, 511-588 (2008). Reviewer: Rina Anno (Chicago) MSC: 14F05 57M27 18D05 18F30 55N22 18E30 14M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Elagin, A. D. Exceptional sets on del Pezzo surfaces with one log-terminal singularity. (English. Russian original) Zbl 1219.14024 Math. Notes 82, No. 1, 33-46 (2007); translation from Mat. Zametki 82, No. 1, 36-51 (2007). MSC: 14F05 14J26 × Cite Format Result Cite Review PDF Full Text: DOI
Baranovsky, Vladimir BGG correspondence for toric complete intersections. (English) Zbl 1159.18003 Mosc. Math. J. 7, No. 4, 581-599 (2007). Reviewer: Tong Wenting (Nanjing) MSC: 18E30 14F05 14M25 14M10 × Cite Format Result Cite Review PDF Full Text: arXiv
Bezrukavnikov, R.; Lachowska, A. The small quantum group and the Springer resolution. (English) Zbl 1197.17007 Etingof, Pavel (ed.) et al., Israel mathematical conference proceedings. Quantum groups. Proceedings of a conference in memory of Joseph Donin, Haifa, Israel, July 5–12, 2004. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-3713-9/pbk). Contemporary Mathematics 433, 89-101 (2007). Reviewer: Jörg Feldvoss (Mobile) MSC: 17B37 14A22 14F05 14M15 18E30 18F20 × Cite Format Result Cite Review PDF Full Text: arXiv
Samokhin, A. Some remarks on the derived categories of coherent sheaves on homogeneous spaces. (English) Zbl 1140.18009 J. Lond. Math. Soc., II. Ser. 76, No. 1, 122-134 (2007). Reviewer: Marc Nieper-Wißkirchen (Mainz) MSC: 18E30 14M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Enochs, E.; Estrada, S.; García Rozas, J. R.; Oyonarte, L. The group of covering automorphisms of a quasi-coherent sheaf on \(\mathbb{P}^{1}(k)\). (English) Zbl 1163.14015 Proc. Edinb. Math. Soc., II. Ser. 50, No. 2, 325-341 (2007). Reviewer: Oliver Röndigs (Osnabrück) MSC: 14F45 16G20 18F20 16B50 14F05 × Cite Format Result Cite Review PDF Full Text: DOI
Okada, So Stability manifold of \(\mathbb P^1\). (English) Zbl 1117.14021 J. Algebr. Geom. 15, No. 3, 487-505 (2006). Reviewer: Iustin Coandă (Bucureşti) MSC: 14F05 14H60 18F30 18E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bezrukavnikov, Roman Cohomology of tilting modules over quantum groups and \(t\)-structures on derived categories of coherent sheaves. (English) Zbl 1123.17002 Invent. Math. 166, No. 2, 327-357 (2006). Reviewer: Jörg Feldvoss (Mobile) MSC: 17B37 14A22 16S38 18E30 18F20 14F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Burban, I. I.; Burban, I. M. Twist functors and D-branes. (Ukrainian, English) Zbl 1093.81546 Ukr. Mat. Zh. 57, No. 1, 18-31 (2005); translation in Ukr. Math. J. 57, No. 1, 18-34 (2005). MSC: 81T30 81S10 53D55 18E25 × Cite Format Result Cite Review PDF Full Text: DOI
Kawamata, Yujiro Log crepant birational maps and derived categories. (English) Zbl 1095.14014 J. Math. Sci., Tokyo 12, No. 2, 211-231 (2005). Reviewer: Marko Roczen (Berlin) MSC: 14E30 18E30 × Cite Format Result Cite Review PDF Full Text: arXiv
Enochs, Edgar; Estrada, Sergio Relative homological algebra in the category of quasi-coherent sheaves. (English) Zbl 1090.16003 Adv. Math. 194, No. 2, 284-295 (2005). Reviewer: Ladislav Bican (Praha) MSC: 16D90 14F05 18F20 18E15 16G20 16D40 16D50 × Cite Format Result Cite Review PDF Full Text: DOI
Polishchuk, A. Noncommutative two-tori with real multiplication as noncommutative projective varieties. (English) Zbl 1085.14003 J. Geom. Phys. 50, No. 1-4, 162-187 (2004). Reviewer: Martin Schlichenmaier (Luxembourg) MSC: 14A22 14H52 18E30 16S38 58B34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Enochs, Edgar; Estrada, S.; García-Rozas, J. R.; Oyonarte, L. Flat and cotorsion quasi-coherent sheaves. Applications. (English) Zbl 1102.18007 Algebr. Represent. Theory 7, No. 4, 441-456 (2004). Reviewer: Ladislav Bican (Praha) MSC: 18F20 14F05 16D90 18E15 16D40 × Cite Format Result Cite Review PDF Full Text: DOI
Arkhipov, Sergey; Bezrukavnikov, Roman; Ginzburg, Victor Quantum groups, the loop Grassmannian, and the Springer resolution. (English) Zbl 1061.17013 J. Am. Math. Soc. 17, No. 3, 595-678 (2004). Reviewer: Jörg Feldvoss (Mobile) MSC: 17B37 14A22 16S38 18E30 18F20 20G10 14F05 16W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hosono, Shinobu; Lian, Bong H.; Oguiso, Keiji; Yau, Shing-Tung Fourier-Mukai partners of a \(K3\) surface of Picard number one. (English) Zbl 1058.14056 Cutkosky, S. Dale (ed.) et al., Vector bundles and representation theory. Proceedings of a conference on Hilbert schemes, vector bundles and their interplay with representation theory, Columbia, MO, USA, April 5–7, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3264-6). Contemp. Math. 322, 43-55 (2003). Reviewer: Carlo Madonna (Roma) MSC: 14J28 × Cite Format Result Cite Review PDF Full Text: arXiv
Namikawa, Yoshinori Mukai flops and derived categories. (English) Zbl 1033.18008 J. Reine Angew. Math. 560, 65-76 (2003). MSC: 18F20 14E30 18E30 14N05 57M25 57T05 57N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Soibelman, Yan; Vologodsky, Vadim Noncommutative compactifications and elliptic curves. (English) Zbl 1052.14004 Int. Math. Res. Not. 2003, No. 28, 1549-1569 (2003). Reviewer: Corina Mohorianu (Iaşi) MSC: 14A22 14H52 14F05 58B34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Canonaco, Alberto Beilinson resolutions on weighted projective spaces. (English. Abridged French version) Zbl 1042.18011 C. R., Math., Acad. Sci. Paris 336, No. 1, 35-40 (2003). MSC: 18F30 18F25 18F20 14F05 × Cite Format Result Cite Review PDF Full Text: DOI Link