A. I. was funded by the FWF (Grant P20778). L. K. was funded by the NSF (Grant DMS0600800), the NSF FRG (Grant DMS-0652633), the FWF (Grant P20778) and the ERC (Grant GEMIS). V. P. was funded by the NSF FRG (Grant DMS-0854977), the NSF (Grants DMS-0854977 and DMS-0901330), by the FWF (Grants P24572-N25 and P20778), by the RFFI (Grants 11-01-00336-a, 11-01-00185-a, 12-01-33024 and 12-01-31012; Grants MK-1192.2012.1, NSh-5139.2012.1) and by the AG Laboratory GU-HSE RF (Grant ag. 11 11. G34.31.0023).
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Тип публикации:
Статья
Язык публикации: английский
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https://www.mathnet.ru/rus/pems3
Эта публикация цитируется в следующих 14 статьяx:
Alexandra Kuznetsova, “Double covers of smooth quadric threefolds with Artin–Mumford obstructions to rationality”, Journal of London Math Soc, 110:6 (2024)
Alessandro Verra, Springer INdAM Series, 53, Algebraic Geometry between Tradition and Future, 2023, 191
Remkes Kooistra, Alan Thompson, “Threefolds fibred by mirror sextic double planes”, Can. J. Math.-J. Can. Math., 73:5 (2021), 1305
Shinobu Hosono, Hiromichi Takagi, “Derived categories of Artin–Mumford double solids”, Kyoto J. Math., 60:1 (2020)
Charles F. Doran, Andrew Harder, Andrey Y. Novoseltsev, Alan Thompson, “Calabi–Yau threefolds fibred by high rank lattice polarized K3 surfaces”, Math. Z., 294:1-2 (2020), 783
Ivan Cheltsov, Victor Przyjalkowski, Constantin Shramov, “Which quartic double solids are rational?”, J. Algebraic Geom., 28:2 (2019), 201–243
Ю. Г. Прохоров, “Проблема рациональности для расслоений на коники”, УМН, 73:3 (2018), 3–88; Yu. G. Prokhorov, “The rationality problem for conic bundles”, Russian Math. Surveys, 73:3 (2018), 375–456
В. В. Пржиялковский, “Торические модели Ландау–Гинзбурга”, УМН, 73:6 (2018), 95–190; V. V. Przyjalkowski, “Toric Landau–Ginzburg models”, Russian Math. Surveys, 73:6 (2018), 1033–1118
Arnaud Beauville, “A very general sextic double solid is not stably rational”, Bull. London Math. Soc., 48:2 (2016), 321
В. В. Пржиялковский, К. А. Шрамов, “Двойные квадрики с большими группами автоморфизмов”, Труды МИАН, 294 (2016), 167–190; Victor V. Przyjalkowski, Constantin A. Shramov, “Double quadrics with large automorphism groups”, Proc. Steklov Inst. Math., 294 (2016), 154–175
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