Derived equivalences via HRS-tilting

Adachi, 2014, τ-tilting theory, Compos. Math., 150, 415, 10.1112/S0010437X13007422 Angeleri Hügel, 2016, Silting modules, Int. Math. Res. Not. IMRN, 2016, 1251, 10.1093/imrn/rnv191 Auslander, 1979, Coxeter functors without diagrams, Trans. Amer. Math. Soc., 250, 1, 10.1090/S0002-9947-1979-0530043-2 Beilinson, 1987, On the derived category of perverse sheaves, vol. 1289, 27 Beilinson, 1982, Faisceaux pervers, vol. 100 Bondal, 2003, Generators and representability of functors in commutative and noncommutative geometry, Mosc. Math. J., 3, 1, 10.17323/1609-4514-2003-3-1-1-36 Bridgeland, 2008, Stability conditions on K3 surfaces, Duke Math. J., 141, 241, 10.1215/S0012-7094-08-14122-5 Buan, 2016, A silting theorem, J. Pure Appl. Algebra, 220, 2748, 10.1016/j.jpaa.2015.12.009 Buan, 2016, Silted algebras, Adv. Math., 303, 859, 10.1016/j.aim.2016.07.004 Canonaco, 2013, Does full imply faithful?, J. Noncommut. Geom., 7, 357, 10.4171/JNCG/120 Chen, 2010, A short proof of HRS-tilting, Proc. Amer. Math. Soc., 138, 455, 10.1090/S0002-9939-09-10101-6 Chen, 2018, Hereditary triangulated categories, J. Noncommut. Geom., 12, 1425, 10.4171/JNCG/311 Fossum, 1975, Trivial Extensions of Abelian Categories: Homological Algebra of Trivial Extensions of Abelian Categories with Applications to Ring Theory, vol. 456 Gelfand, 2003, Methods of Homological Algebra, 10.1007/978-3-662-12492-5 Happel, 1988, Triangulated Categories in the Representation Theory of Finite Dimensional Algebras, vol. 119 Happel, 1996, Tilting in abelian categories and quasitilted algebras, Mem. Amer. Math. Soc., 120 Hoshino, 2002, On t-structures and torsion theories induced by compact objects, J. Pure Appl. Algebra, 167, 15, 10.1016/S0022-4049(01)00012-3 Hughes, 1983, Trivial extensions of tilted algebras, Proc. Lond. Math. Soc., 3, 347, 10.1112/plms/s3-46.2.347 Huybrechts, 2008, Derived and abelian equivalence of K3 surfaces, J. Algebraic Geom., 17, 375, 10.1090/S1056-3911-07-00481-X Iversen, 1986, Cohomology of Sheaves, 10.1007/978-3-642-82783-9 Iyama, 2018, Silting reduction and Calabi–Yau reduction of triangulated categories, Trans. Amer. Math. Soc., 370, 7861, 10.1090/tran/7213 Iyama, 2014, Intermediate co-t-structures, two-term silting objects, τ-tilting modules, and torsion classes, Algebra Number Theory, 8, 2413, 10.2140/ant.2014.8.2413 Keller, 1991, Derived categories and universal problems, Comm. Algebra, 19, 699, 10.1080/00927879108824166 Keller, 1987, Sour les catégories dérivées, C. R. Acad. Sci. Paris, Sér. 1 Math., 305, 225 Ladkani, 2011, Derived equivalences of triangular matrix rings arising from extensions of tilting modules, Algebr. Represent. Theory, 14, 57, 10.1007/s10468-009-9175-0 Liu, 2014, Gluing silting objects, Nagoya Math. J., 216, 117, 10.1215/00277630-2847151 Mac Lane, 1963 Neeman, 1991, Some new axioms for triangulated categories, J. Algebra, 139, 221, 10.1016/0021-8693(91)90292-G Noohi, 2009, Explicit HRS-tilting, J. Noncommut. Geom., 3, 223, 10.4171/JNCG/36 Psaroudakis, 2014, Homological theory of recollements of abelian categories, J. Algebra, 398, 63, 10.1016/j.jalgebra.2013.09.020 Psaroudakis, 2014, Recollements of module categories, Appl. Categ. Structures, 22, 579, 10.1007/s10485-013-9323-x Psaroudakis, 2018, Realization functors in tilting theory, Math. Z., 288, 965, 10.1007/s00209-017-1923-y Qiu, 2015, Stability conditions and quantum dilogarithm identities for Dynkin quivers, Adv. Math., 269, 220, 10.1016/j.aim.2014.10.014 Qiu, 2018, Contractible stability spaces and faithful braid group actions, Geom. Topol., 22, 3701, 10.2140/gt.2018.22.3701 Rickard, 1989, Morita theory for derived categories, J. Lond. Math. Soc., 39, 436, 10.1112/jlms/s2-39.3.436 Rickard, 1991, Derived equivalences as derived functors, J. Lond. Math. Soc., 43, 37, 10.1112/jlms/s2-43.1.37 Stanley, 2016, Derived equivalence for hereditary Artin algebras, Adv. Math., 303, 415, 10.1016/j.aim.2016.08.016 Stenström, 1975, Rings of Quotients: An Introduction to Methods of Ring Theory, vol. 217 Tachikawa, 1986, Applications of reflection functors for self-injective algebras, vol. 1177, 308 Woolf, 2010, Stability conditions, torsion theories and tilting, J. Lond. Math. Soc., 82, 663, 10.1112/jlms/jdq035