Papers and Preprints
Accepted or published papers
- "On weak Fano varieties with log canonical singularities", J. Reine Angew. Math. 665 (2012), 237--252, [PDF], [Link],
- (with Osamu Fujino)"On images of weak Fano manifolds", Math. Z. 270 (2012), no. 1, 531--544, [PDF], [Link],
- "Abundance theorem for numerically trivial log canonical divisors of semi-log canonical pairs" J. Algebraic Geom. 22 (2013), 549--564, [PDF], [Link]
- (with Osamu Fujino)"On canonical bundle formulas and subadjunctions" Michigan Math. J. 60, (2012), no. 3, 255--264., [PDF] , [Link],
- "On the minimal model theory for dlt pairs of numerical log Kodaira dimension zero.", Math. Res. Lett. 18 (2011), no. 5, 991--1000, [PDF], [Link].
- (with Brian Lehmann) "Reduction maps and minimal model theory", Compositio Math. 149, No.2, (2013) 295--308., [PDF], [Link],
- (with Osamu Fujino) "Log pluricanonical representations and the abundance conjecture" Compositio Math. 150, No.4, (2014) 593--620., [PDF], [Link],
- (with Shinnosuke Okawa, Akiyoshi Sannai, Shunsuke Takagi) "Characterizaton of varieties of Fano type via singularities of Cox rings" J. Algebraic Geom. 24 (2015), no. 1, 159--182. [PDF], [Link].
- "Remarks on the non-vanishing conjecture", Adv. Stud. Pure Math., 65, 2015, Algebraic geometry in East Asia—Taipei 2011, 107--116.[PDF]
- (with Osamu Fujino) "On images of weak Fano manifolds II" Algebraic and complex geometry, 201–207, Springer Proc. Math. Stat., 71, Springer, Cham, 2014.
- (with Osamu Fujino) "On log canonical rings", Higher dimensional algebraic geometry—in honour of Professor Yujiro Kawamata's sixtieth birthday, 159–169, Adv. Stud. Pure Math., 74, Math. Soc. Japan, Tokyo, 2017.
- (with Paolo Cascini) "On the anti-canonical ring and varieties of Fano type" Saitama Math. J. Vol. 30 (2013), 27--38., [Link],
- (with Osamu Fujino) "On the moduli b-divisors of lc-trivial fibrations" Annales de l'institut Fourier, 64 no. 4 (2014), 1721--1735,[PDF], [Link],
- (with Paolo Cascini and Karl Schwede) "Uniformbounds for strongly F-regular surfaces" Trans. Am. Math. Soc. 368, No. 8, 5547--5563 (2016). [Link].
- (with Zhiyuan Li, Zsolt Patakfalvi, Karl Schwede, Hiromu Tanaka, Hong R. Zong) "On rational connectedness of globally F-regular threefolds" Adv. Math. 280 (2015), 47–-78 [Link]
- (with Shunsuke Takagi) "Surface of globally F-regular and F-split type" Math. Ann. 364 (2016), no. 3-4, 841--855. [Link]. N.B. somehow the reference [FK] in the arxiv version
has been dropped from the publication version.
- (with Shin-ichi Matsumura)"Versions of injectivity and extension theorems" Ann. Sci. Éc. Norm. Supér. (4) 50 (2017), no. 2, 479–-502.
- (with Yusuke Nakamura and Hiromu Tanaka)"Rational points on log Fano threefolds over a finite field", J. Eur. Math. Soc. (JEMS) 21 (2019), no. 12, 3759--3795. arXiv:1512.05003,
- (with Am\'ael Broustet)"Remarks on log Calabi--Yau structure of varieties admitting polarized endomorphism", Taiwanese J. Math. 21 (2017), no. 3, 569–582.
- (with Shunsuke Takagi) "Koll\'ar's injectivity theorem for globally F-regular varieties", Eur. J. Math. 5 (2019), no. 3, 872–-880. arXiv:1802.07631,
- (with Sho Ejiri) "Nef anti-canonical divisors and rationally connected fibrations", Compos. Math. 155 (2019), no. 7, 1444–1456. arXiv:1802.03732,
- (with Sung Rak Choi) "On a generalized Batyrev's cone conjecture", Math. Z. 300 (2022), no. 2, 1319--1334. arXiv:2002.11071,
- (with Weichung Chen and Yusuke Nakamura), "On a generalized minimal log discrepancy ", preprint, arXiv:2112.09501. to appear in JMSJ
Preprints
- (with Joaquin Moraga), "Generalized complexities on surfaces ", preprint, arXiv:2301.08395
- Effective non-vanishing and Mukai type conjecture", preprint, arXiv:2306.08841
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