ANNALES DE L'INSTITUT FOURIER

[1] Bădescu, Lucian Algebraic surfaces, Universitext, Springer, 2001, xii+258 pages (Translated from the 1981 Romanian original by Vladimir Maşek and revised by the author) | DOI | MR | Zbl

[2] Beauville, Arnaud Complex algebraic surfaces, London Mathematical Society Lecture Note Series, 68, Cambridge University Press, 1983, iv+132 pages (Translated from the French by R. Barlow, N. I. Shepherd-Barron and M. Reid) | MR | Zbl

[3] Birkar, Caucher; Chen, Yifei; Zhang, Lei Iitaka’s $C_{n,m}$ conjecture for 3-folds over finite fields (2015) (https://arxiv.org/abs/1507.08760v2)

[4] Cascini, Paolo; Tanaka, Hiromu; Xu, Chenyang On base point freeness in positive characteristic, Ann. Sci. Éc. Norm. Supér., Volume 48 (2015) no. 5, pp. 1239-1272 | DOI | MR | Zbl

[5] Fantechi, Barbara; Göttsche, Lothar; Illusie, Luc; Kleiman, Steven L.; Nitsure, Nitin; Vistoli, Angelo Fundamental algebraic geometry: Grothendieck’s FGA explained, Mathematical Surveys and Monographs, 123, American Mathematical Society, 2005, x+339 pages | MR | Zbl

[6] Fujino, Osamu Fundamental theorems for the log minimal model program, Publ. Res. Inst. Math. Sci., Volume 47 (2011) no. 3, pp. 727-789 | DOI | MR | Zbl

[7] Fujino, Osamu Minimal model theory for log surfaces, Publ. Res. Inst. Math. Sci., Volume 48 (2012) no. 2, pp. 339-371 | DOI | MR | Zbl

[8] Fujino, Osamu; Tanaka, Hiromu On log surfaces, Proc. Japan Acad. Ser. A, Volume 88 (2012) no. 8, pp. 109-114 | DOI | MR | Zbl

[9] Hacon, Christopher D.; Xu, Chenyang On finiteness of B-representations and semi-log canonical abundance, Minimal models and extremal rays (Kyoto, 2011) (Advanced Studies in Pure Mathematics), Volume 70, Mathematical Society of Japan, 2016, pp. 361-377 | MR | Zbl

[10] Hartshorne, Robin Residues and duality, Lecture Notes in Mathematics, 20, Springer, 1966, vii+423 pages (with an appendix by P. Deligne) | MR | Zbl

[11] Hartshorne, Robin Algebraic geometry, Graduate Texts in Mathematics, 52, Springer, 1977, xvi+496 pages | MR | Zbl

[12] Kawamata, Yujiro; Matsuda, Katsumi; Matsuki, Kenji Introduction to the minimal model problem, Algebraic geometry (Sendai, 1985) (Advanced Studies in Pure Mathematics), Volume 10, North-Holland, 1987, pp. 283-360 | MR | Zbl

[13] Keel, Seán Basepoint freeness for nef and big line bundles in positive characteristic, Ann. Math., Volume 149 (1999) no. 1, pp. 253-286 | DOI | MR | Zbl

[14] Keeler, Dennis S. Ample filters of invertible sheaves, J. Algebra, Volume 259 (2003) no. 1, pp. 243-283 | DOI | MR | Zbl

[15] Kleiman, Steven L. Toward a numerical theory of ampleness, Ann. Math., Volume 84 (1966), pp. 293-344 | DOI | MR | Zbl

[16] Kollár, János Singularities of the minimal model program, Cambridge Tracts in Mathematics, 200, Cambridge University Press, 2013, x+370 pages (With a collaboration of Sándor Kovács) | DOI | MR | Zbl

[17] Kollár, János; Kovács, Sándor Birational geometry of log surfaces (preprint available at https://sites.math.washington.edu/~kovacs/pdf/BiratLogSurf.pdf)

[18] Kollár, János; Mori, Shigefumi Birational geometry of algebraic varieties, Cambridge Tracts in Mathematics, 134, Cambridge University Press, 1998, viii+254 pages (With the collaboration of C. H. Clemens and A. Corti, Translated from the 1998 Japanese original) | DOI | MR | Zbl

[19] Lazarsfeld, Robert Positivity in algebraic geometry. I: Classical setting: Line bundles and linear series, Springer, 2004, xviii+387 pages | Zbl

[20] Lazarsfeld, Robert Positivity in algebraic geometry. II: Positivity for vector bundles, and multiplier ideals, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3 Folge., 49, Springer, 2004, xvii+385 pages | DOI | MR | Zbl

[21] Lipman, Joseph Desingularization of two-dimensional schemes, Ann. Math., Volume 107 (1978) no. 1, pp. 151-207 | DOI | MR | Zbl

[22] Liu, Qing Algebraic geometry and arithmetic curves, Oxford Graduate Texts in Mathematics, 6, Oxford University Press, 2002, xvi+576 pages (Translated from the French by Reinie Erné) | MR | Zbl

[23] Matsumura, Hideyuki Commutative ring theory, Cambridge Studies in Advanced Mathematics, 8, Cambridge University Press, 1989, xiv+320 pages (Translated from the Japanese by M. Reid) | MR | Zbl

[24] Miyanishi, Masayoshi Noncomplete algebraic surfaces, Lecture Notes in Mathematics, 857, Springer, 1981, xviii+244 pages | MR | Zbl

[25] Sakai, Fumio Classification of normal surfaces, Algebraic geometry, Bowdoin 1985 (Brunswick, 1985) (Proceedings of Symposia in Pure Mathematics), Volume 46, American Mathematical Society, 1987, pp. 451-465 | MR | Zbl

[26] Schwede, Karl $F$-adjunction, Algebra Number Theory, Volume 3 (2009) no. 8, pp. 907-950 | DOI | MR | Zbl

[27] Schwede, Karl; Tucker, Kevin On the behavior of test ideals under finite morphisms, J. Algebr. Geom., Volume 23 (2014) no. 3, pp. 399-443 | DOI | MR | Zbl

[28] Seidenberg, Abraham The hyperplane sections of normal varieties, Trans. Am. Math. Soc., Volume 69 (1950), pp. 357-386 | DOI | MR | Zbl

[29] Shafarevich, I. R. Lectures on minimal models and birational transformations of two dimensional schemes, Tata Institute of Fundamental Research Lectures on Mathematics and Physics. Mathematics, 37, Tata Institute of Fundamental Research, 1966, iv+175 pages | MR | Zbl

[30] Tanaka, Hiromu Minimal models and abundance for positive characteristic log surfaces, Nagoya Math. J., Volume 216 (2014), pp. 1-70 | DOI | MR | Zbl

[31] Tanaka, Hiromu The X-method for klt surfaces in positive characteristic, J. Algebr. Geom., Volume 24 (2015) no. 4, pp. 605-628 | DOI | MR | Zbl

[32] Tanaka, Hiromu Behavior of canonical divisors under purely inseparable base changes (2016) (https://arxiv.org/abs/1502.01381v4, to appear in J. Reine Angew. Math.)

[33] Tanaka, Hiromu Pathologies on Mori fibre spaces in positive characteristic (2016) (https://arxiv.org/abs/1609.00574v2)