Geometry & Topology Volume 28, issue 3 (2024)

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ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

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Quadric bundles and hyperbolic equivalence

Alexander Kuznetsov

Geometry & Topology 28 (2024) 1287–1339

DOI: 10.2140/gt.2024.28.1287

Bibliography

1	D Abramovich, T Graber, A Vistoli, Gromov–Witten theory of Deligne–Mumford stacks, Amer. J. Math. 130 (2008) 1337 MR2450211
2	J K Arason, Der Wittring projektiver Räume, Math. Ann. 253 (1980) 205 MR0597829
3	A Auel, M Bernardara, M Bolognesi, Fibrations in complete intersections of quadrics, Clifford algebras, derived categories, and rationality problems, J. Math. Pures Appl. 102 (2014) 249 MR3212256
4	P Balmer, Witt groups, from: "Handbook of K–theory, II" (editors E M Friedlander, D R Grayson), Springer (2005) 539 MR2181829
5	E Bayer-Fluckiger, L Fainsilber, Non-unimodular Hermitian forms, Invent. Math. 123 (1996) 233 MR1374198
6	G Bini, G Kapustka, M Kapustka, Symmetric locally free resolutions and rationality problems, Commun. Contemp. Math. 25 (2023) 2250033 MR4620269
7	G Casnati, F Catanese, Even sets of nodes are bundle symmetric, J. Differential Geom. 47 (1997) 237 MR1601608
8	D Eisenbud, S Popescu, C Walter, Lagrangian subbundles and codimension 3 subcanonical subschemes, Duke Math. J. 107 (2001) 427 MR1828297
9	C Ingalls, A Obus, E Ozman, B Viray, Unramified Brauer classes on cyclic covers of the projective plane, from: "Brauer groups and obstruction problems" (editors A Auel, B Hassett, A Várilly-Alvarado, B Viray), Progr. Math. 320, Birkhäuser (2017) 115 MR3616009
10	M Knebusch, Symmetric bilinear forms over algebraic varieties, from: "Conference on quadratic forms" (editor G Orzech), Queen’s Papers in Pure and Appl. Math. 46, Queen’s Univ. (1977) 103 MR0498378
11	A Kuznetsov, Derived categories of quadric fibrations and intersections of quadrics, Adv. Math. 218 (2008) 1340 MR2419925
12	A Kuznetsov, Scheme of lines on a family of 2–dimensional quadrics : geometry and derived category, Math. Z. 276 (2014) 655 MR3175155
13	A Kuznetsov, E Shinder, Grothendieck ring of varieties, D– and L–equivalence, and families of quadrics, Selecta Math. 24 (2018) 3475 MR3848025
14	C Walter, Grothendieck–Witt groups of projective bundles, preprint (2003)