論文の公開元へ
関連論文
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NEF CONES OF PROJECTIVE BUNDLES OVER SURFACES AND SESHADRI CONSTANTS
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A CHARACTERIZATION OF PROJECTIVE SPACES FROM THE MORI THEORETIC VIEWPOINT
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SEMISTABLE FIBRATIONS OVER AN ELLIPTIC CURVE WITH ONLY ONE SINGULAR FIBRE
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BOUNDEDNESS OF LOG-PLURICANONICAL MAPS FOR SURFACES OF LOG-GENERAL TYPE IN POSITIVE CHARACTERISTIC
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SMOOTHING OF SEMISTABLE FANO VARIETIES
参考文献
[1] C. Birkar, P. Cascini, C.D. Hacon and J. McKernan: Existence of minimal models for varieties of log general type, J. Amer. Math. Soc. 23 (2010), 405–468.
[2] C. Birkar: Singularities of linear systems and boundedness of Fano varieties, arXiv:1609.05543v1 (2016).
[3] C. Birkar: Log Calabi-Yau fibrations. arXiv:1811.10709v2 (2018).
[4] C. Birkar: Anti-pluricanonical systems on Fano varieties, Ann. of Math. (2) 190 (2019), 345–463.
[5] C. Birkar and D.-Q. Zhang: Effectivity of Iitaka fibrations and pluricanonical systems of polarized pairs. Publ. Math. Inst. Hautes Etudes Sci. 123 (2016), 283–331.
[6] A. Bruno and K. Matsuki: Log Sarkisov program, Internati. J. Math. 8 (1997), 451–494.
[7] A. Corti: Factoring birational maps of threefolds after Sarkisov, J. Algebraic Geom. 4 (1995), 223–254.
[8] S, Filipazzi: On a generalized canonical bundle formula and generalized adjunction, to appear in Annali della Scuola Normale Superiore di Pisa, arXiv:1807.04847v3 (2018).
[9] J. Han and W. Liu: On a generalized canonical bundle formula for generically finite morphisms, to appear in The Annales de l’Institut Fourier, arXiv:1905.12542 (2019).
[10] C.D. Hacon and J. McKernan: The Sarkisov program, J. Algebraic Geom. 22 (2013), 389–405.
[11] Y. Kawamata: Flops connects minimal models, Publ. Res. Inst. Math. Sci. 44 (2008), 419–423.
[12] Y. Kawamata, K. Matsuda and K. Matsuki: Introduction to the minimal model problem; in Algebraic geometry, Sendai, 1985, Adv. Stud. Pure Math. 10, North-Holland, Amsterdam, 1987.
[13] J. Kolla´r and S. Mori: Birational geometry of algebraic varieties, Cambridge Tracts in Math. 134, Cam- bridge Univ. Press, Cambridge, 1998.
[14] V.G. Sarkisov: Birational automorphisms of conic bundles, Izv. Akad. Nauk SSSR Ser. Mat. 44 (1980), 918–945, 974.
[15] V.G. Sarkisov: On conic bundle structures, Izv. Akad. Nauk SSSR Ser. Math. 46 (1982), 371–408, 432.
[16] V.V. Shokurov: 3–fold log flips, Izv. Ross. Akad. Nauk Ser. Mat. 56 (1992), 105–203.