Orlov, Dmitri Smooth DG algebras and twisted tensor product. arXiv:2305.19799 Preprint, arXiv:2305.19799 [math.AG] (2023). MSC: 14A22 16E45 16P10 16E35 18G80 BibTeX Cite \textit{D. Orlov}, ``Smooth DG algebras and twisted tensor product'', Preprint, arXiv:2305.19799 [math.AG] (2023) Full Text: arXiv OA License
Orlov, Dmitri Finite-dimensional differential graded algebras and their geometric realizations. (English) Zbl 1504.14005 Adv. Math. 366, Article ID 107096, 33 p. (2020). MSC: 14A22 16E45 16E35 18G80 PDFBibTeX XMLCite \textit{D. Orlov}, Adv. Math. 366, Article ID 107096, 33 p. (2020; Zbl 1504.14005) Full Text: DOI arXiv
Orlov, D. O. Finite-dimensional DG algebras and their properties. (English. Russian original) Zbl 1505.14044 Russ. Math. Surv. 74, No. 4, 764-766 (2019); translation from Usp. Mat. Nauk 74, No. 4, 187-188 (2019). MSC: 14F08 16E45 18G80 PDFBibTeX XMLCite \textit{D. O. Orlov}, Russ. Math. Surv. 74, No. 4, 764--766 (2019; Zbl 1505.14044); translation from Usp. Mat. Nauk 74, No. 4, 187--188 (2019) Full Text: DOI
Borisov, L. A.; Orlov, D. O. Equivariant exceptional collections on smooth toric stacks. (English. Russian original) Zbl 1454.14044 Izv. Math. 83, No. 4, 698-730 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 4, 50-85 (2019). MSC: 14F08 14M25 55U10 PDFBibTeX XMLCite \textit{L. A. Borisov} and \textit{D. O. Orlov}, Izv. Math. 83, No. 4, 698--730 (2019; Zbl 1454.14044); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 4, 50--85 (2019) 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 PDFBibTeX XMLCite \textit{D. O. Orlov}, Russ. Math. Surv. 73, No. 5, 865--918 (2018; Zbl 1430.14006); translation from Usp. Mat. Nauk 73, No. 5, 123--182 (2018) Full Text: DOI arXiv
Orlov, Dmitri Smooth and proper noncommutative schemes and gluing of dg categories. (English) Zbl 1368.14031 Adv. Math. 302, 59-105 (2016). Reviewer: John Zhang (Los Angeles) MSC: 14A30 14A22 16E45 18G80 14F08 18G35 PDFBibTeX XMLCite \textit{D. Orlov}, Adv. Math. 302, 59--105 (2016; Zbl 1368.14031) Full Text: DOI arXiv
Orlov, Dmitri O. Geometric realizations of quiver algebras. (English. Russian original) Zbl 1348.14050 Proc. Steklov Inst. Math. 290, 70-83 (2015); translation from Tr. Mat. Inst. Steklova 290, 80-94 (2015). MSC: 14F05 16G10 14A22 PDFBibTeX XMLCite \textit{D. O. Orlov}, Proc. Steklov Inst. Math. 290, 70--83 (2015; Zbl 1348.14050); translation from Tr. Mat. Inst. Steklova 290, 80--94 (2015) Full Text: DOI arXiv
Alexeev, Valery; Orlov, Dmitri Derived categories of Burniat surfaces and exceptional collections. (English) Zbl 1282.14030 Math. Ann. 357, No. 2, 743-759 (2013). Reviewer: Pawel Sosna (Hamburg) MSC: 14F05 14J29 PDFBibTeX XMLCite \textit{V. Alexeev} and \textit{D. Orlov}, Math. Ann. 357, No. 2, 743--759 (2013; Zbl 1282.14030) Full Text: DOI arXiv Backlinks: MO
Abouzaid, Mohammed; Auroux, Denis; Efimov, Alexander I.; Katzarkov, Ludmil; Orlov, Dmitri Homological mirror symmetry for punctured spheres. (English) Zbl 1276.53089 J. Am. Math. Soc. 26, No. 4, 1051-1083 (2013). Reviewer: Joana O. dos Santos Amorim (Oxford) MSC: 53D37 14J33 53D40 53D12 18E30 14F05 PDFBibTeX XMLCite \textit{M. Abouzaid} et al., J. Am. Math. Soc. 26, No. 4, 1051--1083 (2013; Zbl 1276.53089) Full Text: DOI arXiv
Canonaco, Alberto; Orlov, Dmitri; Stellari, Paolo Does full imply faithful? (English) Zbl 1276.14026 J. Noncommut. Geom. 7, No. 2, 357-371 (2013). Reviewer: Arvid Perego (Nancy) MSC: 14F05 18E10 18E30 PDFBibTeX XMLCite \textit{A. Canonaco} et al., J. Noncommut. Geom. 7, No. 2, 357--371 (2013; Zbl 1276.14026) Full Text: DOI arXiv
Gorchinskiy, Sergey; Orlov, Dmitri Geometric phantom categories. (English) Zbl 1285.14018 Publ. Math., Inst. Hautes Étud. Sci. 117, 329-349 (2013). Reviewer: Dragos Deliu (Wien) MSC: 14F05 18E30 18F30 18F25 14F42 PDFBibTeX XMLCite \textit{S. Gorchinskiy} and \textit{D. Orlov}, Publ. Math., Inst. Hautes Étud. Sci. 117, 329--349 (2013; Zbl 1285.14018) Full Text: DOI arXiv Backlinks: MO
Orlov, Dmitri Landau-Ginzburg models, D-branes and mirror symmetry. (English) Zbl 1297.14019 Mat. Contemp. 41, 75-112 (2012). Reviewer: Pawel Sosna (Hamburg) MSC: 14F05 18E30 14J33 PDFBibTeX XMLCite \textit{D. Orlov}, Mat. Contemp. 41, 75--112 (2012; Zbl 1297.14019) Full Text: arXiv
Orlov, Dmitri Matrix factorizations for nonaffine LG-models. (English) Zbl 1243.81178 Math. Ann. 353, No. 1, 95-108 (2012). MSC: 81T30 14F05 14D21 18E30 PDFBibTeX XMLCite \textit{D. Orlov}, Math. Ann. 353, No. 1, 95--108 (2012; Zbl 1243.81178) Full Text: DOI arXiv
Orlov, Dmitri Formal completions and idempotent completions of triangulated categories of singularities. (English) Zbl 1216.18012 Adv. Math. 226, No. 1, 206-217 (2011). Reviewer: Vivek M. Mallick (Barcelona) MSC: 18E30 14B05 PDFBibTeX XMLCite \textit{D. Orlov}, Adv. Math. 226, No. 1, 206--217 (2011; Zbl 1216.18012) Full Text: DOI arXiv
Lunts, Valery A.; Orlov, Dmitri O. Uniqueness of enhancement for triangulated categories. (English) Zbl 1197.14014 J. Am. Math. Soc. 23, No. 3, 853-908 (2010). Reviewer: Pawel Sosna (Bonn) MSC: 14F05 18E30 PDFBibTeX XMLCite \textit{V. A. Lunts} and \textit{D. O. Orlov}, J. Am. Math. Soc. 23, No. 3, 853--908 (2010; Zbl 1197.14014) Full Text: DOI arXiv
Orlov, Dmitri Derived categories of coherent sheaves and triangulated categories of singularities. (English) Zbl 1200.18007 Tschinkel, Yuri (ed.) et al., Algebra, arithmetic, and geometry. In honor of Y. I. Manin on the occasion of his 70th birthday. Vol. II. Boston, MA: Birkhäuser (ISBN 978-0-8176-4746-9/hbk; 978-0-8176-4747-6/ebook). Progress in Mathematics 270, 503-531 (2009). MSC: 18E30 81T30 14B05 PDFBibTeX XMLCite \textit{D. Orlov}, Prog. Math. 270, 503--531 (2009; Zbl 1200.18007) Full Text: DOI arXiv Backlinks: MO
Kapustin, Anton; Katzarkov, Ludmil; Orlov, Dmitri; Yotov, Mirroslav Homological mirror symmetry for manifolds of general type. (English) Zbl 1200.53079 Cent. Eur. J. Math. 7, No. 4, 571-605 (2009). Reviewer: Ioan Pop (Iaşi) MSC: 53D37 57R17 14J33 PDFBibTeX XMLCite \textit{A. Kapustin} et al., Cent. Eur. J. Math. 7, No. 4, 571--605 (2009; Zbl 1200.53079) Full Text: DOI arXiv Link
Orlov, Dmitri Remarks on generators and dimensions of triangulated categories. (English) Zbl 1197.18004 Mosc. Math. J. 9, No. 1, 143-149 (2009). Reviewer: Pawel Sosna (Bonn) MSC: 18E30 14F05 PDFBibTeX XMLCite \textit{D. Orlov}, Mosc. Math. J. 9, No. 1, 143--149 (2009; Zbl 1197.18004) Full Text: arXiv Link
Auroux, Denis; Katzarkov, Ludmil; Orlov, Dmitri Mirror symmetry for weighted projective planes and their noncommutative deformations. (English) Zbl 1175.14030 Ann. Math. (2) 167, No. 3, 867-943 (2008). Reviewer: Marcello Bernardara (Bonn) MSC: 14J33 14A22 53D40 18E30 PDFBibTeX XMLCite \textit{D. Auroux} et al., Ann. Math. (2) 167, No. 3, 867--943 (2008; Zbl 1175.14030) Full Text: DOI arXiv Link
Orlov, D.; Vishik, A.; Voevodsky, V. An exact sequence for \(K^M_*/2\) with applications to quadratic forms. (English) Zbl 1124.14017 Ann. Math. (2) 165, No. 1, 1-13 (2007). Reviewer: Werner Kleinert (Berlin) MSC: 14C35 14F42 19D45 11E04 11E70 13K05 PDFBibTeX XMLCite \textit{D. Orlov} et al., Ann. Math. (2) 165, No. 1, 1--13 (2007; Zbl 1124.14017) Full Text: DOI arXiv
Orlov, D. O. Triangulated categories of singularities and equivalences between Landau-Ginzburg models. (English) Zbl 1161.14301 Sb. Math. 197, No. 12, 1827-1840 (2006); translation from Mat. Sb. 197, No. 12, 117-132 (2006). MSC: 14F05 18E30 14B05 14E15 81T30 14D21 PDFBibTeX XMLCite \textit{D. O. Orlov}, Sb. Math. 197, No. 12, 1827--1840 (2006; Zbl 1161.14301); translation from Mat. Sb. 197, No. 12, 117--132 (2006) Full Text: DOI arXiv
Auroux, Denis; Katzarkov, Ludmil; Orlov, Dmitri Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves. (English) Zbl 1110.14033 Invent. Math. 166, No. 3, 537-582 (2006). Reviewer: Marcello Bernardara (Nice) MSC: 14J32 14J26 14J45 14Dxx PDFBibTeX XMLCite \textit{D. Auroux} et al., Invent. Math. 166, No. 3, 537--582 (2006; Zbl 1110.14033) Full Text: DOI arXiv
Orlov, D. O. Derived categories of coherent sheaves and motives. (English) Zbl 1146.18302 Russ. Math. Surv. 60, No. 6, 1242-1244 (2005); translation from Usp. Mat. Nauk 60, No. 6, 231-232 (2005). MSC: 18E30 14F05 14F42 18F25 PDFBibTeX XMLCite \textit{D. O. Orlov}, Russ. Math. Surv. 60, No. 6, 1242--1244 (2005; Zbl 1146.18302); translation from Usp. Mat. Nauk 60, No. 6, 231--232 (2005) Full Text: DOI arXiv
Orlov, D. O. Triangulated categories of singularities and D-branes in Landau-Ginzburg models. (English. Russian original) Zbl 1101.81093 Proc. Steklov Inst. Math. 246, 227-248 (2004); translation from Tr. Mat. Inst. Steklova 246, 240-262 (2004). MSC: 81T30 81T40 14E15 18E30 PDFBibTeX XMLCite \textit{D. O. Orlov}, in: Algebraic geometry. Methods, relations, and applications. Collected papers. Dedicated to the memory of Andrei Nikolaevich Tyurin. Moscow: Maik Nauka/Interperiodica. 227--248 (2004; Zbl 1101.81093); translation from Tr. Mat. Inst. Steklova 246, 240--262 (2004) Full Text: arXiv
Kapustin, A. N.; Orlov, D. O. Lectures on mirror symmetry, derived categories, and D-branes. (English. Russian original) Zbl 1074.14036 Russ. Math. Surv. 59, No. 5, 907-940 (2004); translation from Usp. Mat. Nauk 59, No. 5, 101-134 (2004). MSC: 14J32 18E30 32Q25 53D40 81T30 PDFBibTeX XMLCite \textit{A. N. Kapustin} and \textit{D. O. Orlov}, Russ. Math. Surv. 59, No. 5, 907--940 (2004; Zbl 1074.14036); translation from Usp. Mat. Nauk 59, No. 5, 101--134 (2004) Full Text: DOI arXiv
Orlov, D. O. Quasicoherent sheaves in commutative and noncommutative geometry. (English. Russian original) Zbl 1077.14021 Izv. Math. 67, No. 3, 535-554 (2003); translation from Izv. Ross. Akad. Nauk Ser. Mat. 67, No. 3, 119-138 (2003). Reviewer: Daniel Hernandez Ruiperez (Salamanca) MSC: 14F05 14A22 18F10 PDFBibTeX XMLCite \textit{D. O. Orlov}, Izv. Math. 67, No. 3, 535--554 (2003; Zbl 1077.14021); translation from Izv. Ross. Akad. Nauk Ser. Mat. 67, No. 3, 119--138 (2003) Full Text: DOI
Orlov, D. O. Derived categories of coherent sheaves and equivalences between them. (English. Russian original) Zbl 1118.14021 Russ. Math. Surv. 58, No. 3, 511-591 (2003); translation from Usp. Mat. Nauk 58, No. 3, 89-172 (2003). Reviewer: David Ploog (Berlin) MSC: 14F05 14A22 18E30 PDFBibTeX XMLCite \textit{D. O. Orlov}, Russ. Math. Surv. 58, No. 3, 511--591 (2003; Zbl 1118.14021); translation from Usp. Mat. Nauk 58, No. 3, 89--172 (2003) Full Text: DOI
Kapustin, Anton; Orlov, Dmitri Vertex algebras, mirror symmetry, and D-branes: the case of complex tori. (English) Zbl 1051.17017 Commun. Math. Phys. 233, No. 1, 79-136 (2003). MSC: 17B69 81T30 14J81 81R10 14J32 PDFBibTeX XMLCite \textit{A. Kapustin} and \textit{D. Orlov}, Commun. Math. Phys. 233, No. 1, 79--136 (2003; Zbl 1051.17017) Full Text: DOI arXiv Link
Orlov, D. O. Derived categories of coherent sheaves on abelian varieties and equivalences between them. (English. Russian original) Zbl 1031.18007 Izv. Math. 66, No. 3, 569-594 (2002); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 66, No. 3, 131-158 (2002). Reviewer: Adrian Langer (Warszawa) MSC: 18E30 14K05 PDFBibTeX XMLCite \textit{D. O. Orlov}, Izv. Math. 66, No. 3, 569--594 (2002; Zbl 1031.18007); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 66, No. 3, 131--158 (2002) Full Text: DOI arXiv
Bondal, A.; Orlov, D. Derived categories of coherent sheaves. (English) Zbl 0996.18007 Li, Ta Tsien (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20-28, 2002. Vol. II: Invited lectures. Beijing: Higher Education Press. 47-56 (2002). MSC: 18E30 14F05 PDFBibTeX XMLCite \textit{A. Bondal} and \textit{D. Orlov}, in: Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20--28, 2002. Vol. II: Invited lectures. Beijing: Higher Education Press; Singapore: World Scientific/distributor. 47--56 (2002; Zbl 0996.18007) Full Text: arXiv
Golyshev, V.; Lunts, V.; Orlov, D. Mirror symmetry for abelian varieties. (English) Zbl 1014.14020 J. Algebr. Geom. 10, No. 3, 433-496 (2001). Reviewer: Werner Kleinert (Berlin) MSC: 14J32 14K99 17B45 PDFBibTeX XMLCite \textit{V. Golyshev} et al., J. Algebr. Geom. 10, No. 3, 433--496 (2001; Zbl 1014.14020) Full Text: arXiv
Bondal, Alexey; Orlov, Dmitri Reconstruction of a variety from the derived category and groups of autoequivalences. (English) Zbl 0994.18007 Compos. Math. 125, No. 3, 327-344 (2001). Reviewer: B.M.Schein (Fayetteville) MSC: 18E30 14F05 18F20 PDFBibTeX XMLCite \textit{A. Bondal} and \textit{D. Orlov}, Compos. Math. 125, No. 3, 327--344 (2001; Zbl 0994.18007) Full Text: DOI arXiv
Orlov, D. O. Equivalences of derived categories and \(K3\) surfaces. (English) Zbl 0938.14019 J. Math. Sci., New York 84, No. 5, 1361-1381 (1997). MSC: 14J28 18G10 14F05 PDFBibTeX XMLCite \textit{D. O. Orlov}, J. Math. Sci., New York 84, No. 5, 1361--1381 (1997; Zbl 0938.14019) Full Text: DOI arXiv
Kuleshov, S. A.; Orlov, D. O. Exceptional sheaves on del Pezzo surfaces. (English. Russian original) Zbl 0842.14009 Russ. Acad. Sci., Izv., Math. 44, No. 3, 479-513 (1995); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 58, No. 3, 53-87 (1994). Reviewer: V.K.Vedernikov (Moskva) MSC: 14F05 14J60 14J26 PDFBibTeX XMLCite \textit{S. A. Kuleshov} and \textit{D. O. Orlov}, Russ. Acad. Sci., Izv., Math. 44, No. 3, 1 (1994; Zbl 0842.14009); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 58, No. 3, 53--87 (1994) Full Text: DOI
Orlov, D. O. Projective bundles, monoidal transformations, and derived categories of coherent sheaves. (English. Russian original) Zbl 0798.14007 Russ. Acad. Sci., Izv., Math. 41, No. 1, 133-141 (1993); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 56, No. 4, 852-862 (1992). MSC: 14F05 18E30 14E05 14M15 14F10 PDFBibTeX XMLCite \textit{D. O. Orlov}, Russ. Acad. Sci., Izv., Math. 41, No. 1, 1 (1992; Zbl 0798.14007); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 56, No. 4, 852--862 (1992) Full Text: DOI
Orlov, D. O. Exceptional collection of vector bundles on the manifold \(V_ 5\). (Russian) Zbl 0753.14012 Vestn. Mosk. Univ., Ser. I 1991, No. 5, 69-71 (1991). Reviewer: V.K.Vedernikov (Moskva) MSC: 14F05 14J40 PDFBibTeX XMLCite \textit{D. O. Orlov}, Vestn. Mosk. Univ., Ser. I 1991, No. 5, 69--71 (1991; Zbl 0753.14012)
Orlov, D. O. An exceptional collection of vector bundles on the threefold \(V_ 5\). (English. Russian original) Zbl 0784.14010 Mosc. Univ. Math. Bull. 46, No. 5, 48-50 (1991); translation from Vestn. Mosk. Univ., Ser. I 1991, No. 5, 69-71 (1991). MSC: 14F05 14J40 PDFBibTeX XMLCite \textit{D. O. Orlov}, Mosc. Univ. Math. Bull. 46, No. 5, 48--50 (1991; Zbl 0784.14010); translation from Vestn. Mosk. Univ., Ser. I 1991, No. 5, 69--71 (1991)
Katsarkov, L. V.; Orlov, D. O. Prym varieties of hyperelliptic curves and their applications to nonlinear equations. (English. Russian original) Zbl 0735.14024 Mosc. Univ. Math. Bull. 44, No. 2, 65-69 (1989); translation from Vestn. Mosk. Univ., Ser. I 1989, No. 2, 43-47 (1989). Reviewer: W.Kleinert (Berlin) MSC: 14H42 14H45 14K30 32G81 PDFBibTeX XMLCite \textit{L. V. Katsarkov} and \textit{D. O. Orlov}, Mosc. Univ. Math. Bull. 44, No. 2, 65--69 (1989; Zbl 0735.14024); translation from Vestn. Mosk. Univ., Ser. I 1989, No. 2, 43--47 (1989)