Yan, Jianshi On the pluricanonical map and the canonical volume of projective 4-folds of general type. (English) Zbl 07841605 Commun. Algebra 52, No. 7, 2706-2714 (2024). MSC: 14J35 14E05 14C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Lei Frobenius stable pluricanonical systems on threefolds of general type in positive characteristic. (English) Zbl 1509.14029 Algebra Number Theory 16, No. 10, 2339-2384 (2022). Reviewer: Chen Jiang (Shanghai) MSC: 14E05 14E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Catanese, Fabrizio Pluricanonical maps and the Fujita conjecture. (English) Zbl 1492.14015 Complex Manifolds 9, 192-195 (2022). MSC: 14E05 14E25 32Q40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yan, Jianshi On minimal 4-folds of general type with \(p_g \geq 2\). (English) Zbl 1477.14069 Electron. Res. Arch. 29, No. 5, 3309-3321 (2021). Reviewer: Yoshiaki Fukuma (Kochi) MSC: 14J35 14E05 14C20 14E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Hsin-Ku Threefolds of Kodaira dimension one. (English) Zbl 1475.14071 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 2, 745-776 (2021). Reviewer: Giosuè Muratore (Roma) MSC: 14J30 14E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Yuesen On 3-canonical maps of varieties of Albanese fiber dimension one. (English) Zbl 1470.14027 Commun. Algebra 49, No. 8, 3398-3408 (2021). MSC: 14E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kodaira, Kunihiko [Yamashima, Shigeho] Theory of algebraic surfaces. Translated from the Japanese by Kazuhiro Konno. Notes taken by Shigeho Yamashima. Originally published by University of Tokyo, Tokyo 1968. (English) Zbl 1462.14001 SpringerBriefs in Mathematics. Singapore: Springer (ISBN 978-981-15-7379-8/pbk; 978-981-15-7380-4/ebook). xiii, 75 p. (2020). Reviewer: Margarida Mendes Lopes (Lisboa) MSC: 14-01 14J10 14J25 14J26 14J27 14J28 14J29 32-01 32-02 32J15 32J25 14-02 14-03 01A75 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Meng On minimal \(3\)-folds of general type with maximal pluricanonical section index. (English) Zbl 1391.14027 Asian J. Math. 22, No. 2, 257-268 (2018). Reviewer: Antonio Lanteri (Milano) MSC: 14E05 14J30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Meng; Jiang, Zhi A reduction of canonical stability index of 4 and 5 dimensional projective varieties with large volume. (Une réduction de l’indice de stabilité canonique des variétés projectives des dimensionnelles 4 et 5 à grand volume.) (English. French summary) Zbl 1404.14018 Ann. Inst. Fourier 67, No. 5, 2043-2082 (2017). Reviewer: Artie Prendergast-Smith (Loughborough) MSC: 14E05 14J35 14J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Stagnaro, Ezio Normal canonical hypersurfaces. (English) Zbl 1354.14015 Rend. Circ. Mat. Palermo (2) 65, No. 3, 365-385 (2016). Reviewer: Roberto Munoz (Madrid) MSC: 14C20 14E05 14J70 × Cite Format Result Cite Review PDF Full Text: DOI
Chi, Chen-Yu Pseudonorms and theorems of Torelli type. (English) Zbl 1355.14008 J. Differ. Geom. 104, No. 2, 239-273 (2016). Reviewer: Christopher Hacon (Salt Lake City) MSC: 14C20 14E05 14J40 × Cite Format Result Cite Review PDF Full Text: DOI Link
Birkar, Caucher; Zhang, De-Qi Effectivity of Iitaka fibrations and pluricanonical systems of polarized pairs. (English) Zbl 1348.14038 Publ. Math., Inst. Hautes Étud. Sci. 123, 283-331 (2016). Reviewer: Christopher Hacon (Salt Lake City) MSC: 14E30 14E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Chen, Jungkai A.; Chen, Meng Explicit birational geometry of 3-folds and 4-folds of general type. III. (English) Zbl 1329.14030 Compos. Math. 151, No. 6, 1041-1082 (2015). Reviewer: Christopher Hacon (Salt Lake City) MSC: 14E05 14J30 14J35 14B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yau, Shing-Tung On the pseudonorm project of birational classification of algebraic varieties. (English) Zbl 1322.14033 Ochiai, Takushiro (ed.) et al., Geometry and analysis on manifolds. In memory of Professor Shoshichi Kobayashi. Cham: Birkhäuser/Springer (ISBN 978-3-319-11522-1/hbk; 978-3-319-11523-8/ebook). Progress in Mathematics 308, 327-339 (2015). Reviewer: Florian Schrack (Bayreuth) MSC: 14E05 32Q57 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Zhi; Sun, Hao Cohomological support loci of varieties of Albanese fiber dimension one. (English) Zbl 1400.14039 Trans. Am. Math. Soc. 367, No. 1, 103-119 (2015). Reviewer: John Lesieutre (Chicago) MSC: 14E05 14C20 14C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Lei The cohomological support locus of pluri-canonical sheaves and the Iitaka fibration. (English) Zbl 1311.14016 J. Lond. Math. Soc., II. Ser. 90, No. 2, 592-608 (2014). Reviewer: Roberto Munoz (Madrid) MSC: 14E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Hao Pluricanonical maps of varieties of Albanese fiber dimension two. (English) Zbl 1316.14029 Math. Z. 277, No. 3-4, 739-747 (2014). Reviewer: Jing Zhang (University Park) MSC: 14E05 14C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guerra, Lucio; Pirola, Gian Pietro Parametrization of rational maps on a variety of general type, and the finiteness theorem. (English) Zbl 1286.14015 Proc. Am. Math. Soc. 142, No. 1, 93-100 (2014). Reviewer: Emilia Mezzetti (Trieste) MSC: 14E05 14N05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballico, E.; Pignatelli, R.; Tasin, L. Weighted hypersurfaces with either assigned volume or many vanishing plurigenera. (English) Zbl 1288.14029 Commun. Algebra 41, No. 10, 3745-3752 (2013). Reviewer: Rita Pardini (Pisa) MSC: 14J40 14E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Di Biagio, Lorenzo Adjoint pluricanonical systems on varieties of general type. (English) Zbl 1277.14011 Adv. Geom. 13, No. 3, 471-484 (2013). Reviewer: Antonio Lanteri (Milano) MSC: 14E05 14J29 14C20 × Cite Format Result Cite Review PDF Full Text: DOI
Tirabassi, Sofia On the tetracanonical map of varieties of general type and maximal Albanese dimension. (English) Zbl 1278.14016 Collect. Math. 63, No. 3, 345-349 (2012). Reviewer: Jing Zhang (Albany) MSC: 14E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Meng On an efficient induction step with \(\text{Nklt}(X,D)\) - notes to Todorov. (English) Zbl 1261.14022 Commun. Anal. Geom. 20, No. 4, 765-779 (2012). Reviewer: Christopher Hacon (Salt Lake City) MSC: 14J30 14E05 × Cite Format Result Cite Review PDF Full Text: DOI
Ronconi, M. Cristina Regular threefolds of general type with \(p_g =0\) and large bigenus. (English) Zbl 1255.14029 Rend. Circ. Mat. Palermo (2) 61, No. 2, 241-260 (2012). Reviewer: Ezio Stagnaro (Padova) MSC: 14J30 14E05 14C20 × Cite Format Result Cite Review PDF Full Text: DOI
Barja, Miguel Angel; Lahoz, Martí; Naranjo, Juan Carlos; Pareschi, Giuseppe On the bicanonical map of irregular varieties. (English) Zbl 1245.14007 J. Algebr. Geom. 21, No. 3, 445-471 (2012). Reviewer: Christopher Hacon (Salt Lake City) MSC: 14C20 14E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Shin, Dong-Kwan On the plurigenus of a canonical threefold. (English) Zbl 1236.14015 Commun. Korean Math. Soc. 27, No. 1, 37-46 (2012). Reviewer: Gabriele Di Cerbo (Princeton) MSC: 14E05 14J30 × Cite Format Result Cite Review PDF Full Text: DOI
Di Biagio, Lorenzo Pluricanonical systems for 3-folds and 4-folds of general type. (English) Zbl 1232.14024 Math. Proc. Camb. Philos. Soc. 152, No. 1, 9-34 (2012). Reviewer: Zsolt Patakfalvi (Princeton) MSC: 14J30 14J35 14C20 14E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Meng On anti-pluricanonical systems of \(\mathbb Q\)-Fano 3-folds. (English) Zbl 1258.14016 Sci. China, Math. 54, No. 8, 1547-1560 (2011). Reviewer: Gianluca Occhetta (Trento) MSC: 14E05 14J30 14J45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hacon, Christopher D.; McKernan, James Boundedness results in birational geometry. (English) Zbl 1232.14008 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. II: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-32-8/hbk; 978-81-85931-08-3/hbk; 978-981-4324-30-4/set; 978-981-4324-35-9/ebook). 427-449 (2011). Reviewer: Vladimir Lazic (Bayreuth) MSC: 14E05 14J40 × Cite Format Result Cite Review PDF
Pareschi, Giuseppe; Popa, Mihnea Regularity on abelian varieties. III: Relationship with generic vanishing and applications. (English) Zbl 1236.14020 Ellwood, David A. (ed.) et al., Grassmannians, moduli spaces and vector bundles. Clay Mathematics Institute workshop on moduli spaces of vector bundles, with a view towards coherent sheaves, Cambridge, MA, USA, October 6–11, 2006. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-5205-7/pbk). Clay Mathematics Proceedings 14, 141-167 (2011). MSC: 14F17 14F05 14K05 × Cite Format Result Cite Review PDF Full Text: arXiv
Gattazzo, Remo Examples of threefolds with \(q_1 = q_2 =p_g = 0\) and \(3 \leq P_2 \leq 4\). (English) Zbl 1218.14008 Int. J. Pure Appl. Math. 66, No. 3, 339-353 (2011). Reviewer: Ezio Stagnaro (Padova) MSC: 14E05 14J30 × Cite Format Result Cite Review PDF
Chen, Meng On pluricanonical systems of algebraic varieties of general type. (English) Zbl 1214.14009 Keum, JongHae (ed.) et al., Algebraic geometry in East Asia – Seoul 2008. Proceedings of the 3rd international conference “Algebraic geometry in East Asia, III”, Seoul, Korea, November 11–15, 2008. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-63-1/hbk). Advanced Studies in Pure Mathematics 60, 215-236 (2010). MSC: 14E05 14E25 14E30 × Cite Format Result Cite Review PDF Full Text: arXiv
Todorov, Gueorgui; Xu, Chenyang Effectiveness of the log Iitaka fibration for 3-folds and 4-folds. (English) Zbl 1184.14023 Algebra Number Theory 3, No. 6, 697-710 (2009). Reviewer: Massimiliano Mella (Ferrara) MSC: 14E05 14J35 14J30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ronconi, M. Cristina A regular threefold of general type with \(p_g=0\) and \(P_2=6\). (English) Zbl 1184.14069 Boll. Unione Mat. Ital. (9) 2, No. 3, 607-621 (2009). Reviewer: Ezio Stagnaro (Padova) MSC: 14J30 14E05 14C20 × Cite Format Result Cite Review PDF
Chi, Chen-Yu; Yau, Shing-Tung A geometric approach to problems in birational geometry. (English) Zbl 1205.14016 Proc. Natl. Acad. Sci. USA 105, No. 48, 18696-18701 (2008). MSC: 14E05 14C20 32Q57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Zhang, De-Qi Automorphism groups and anti-pluricanonical curves. (English) Zbl 1157.14020 Math. Res. Lett. 15, No. 1, 163-183 (2008). Reviewer: Maciej Borodzik (Warszawa) MSC: 14J26 14J50 37B40 32H50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Jungkai A.; Hacon, Christopher D. Pluricanonical systems on irregular 3-folds of general type. (English) Zbl 1195.14018 Math. Z. 255, No. 2, 343-355 (2007). Reviewer: Yoshiaki Fukuma (Kochi) MSC: 14E05 14C20 14J30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Todorov, Gueorgui Pluricanonical maps for threefolds of general type. (English) Zbl 1122.14031 Ann. Inst. Fourier 57, No. 4, 1315-1330 (2007). Reviewer: Christopher Hacon (Salt Lake City) MSC: 14J30 14E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Numdam EuDML
Tsuji, Hajime Pluricanonical systems of projective varieties of general type. I. (English) Zbl 1142.14012 Osaka J. Math. 43, No. 4, 967-995 (2006). Reviewer: Eberhard Oeljeklaus (Bremen) MSC: 14E30 32L10 14E05 14J40 32U05 14E25 × Cite Format Result Cite Review PDF Full Text: Euclid
Hacon, Christopher D.; McKernan, James Boundedness of pluricanonical maps of varieties of general type. (English) Zbl 1121.14011 Invent. Math. 166, No. 1, 1-25 (2006). Reviewer: Ivan Cheltsov (Edinburgh) MSC: 14E30 14E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Takayama, Shigeharu Pluricanonical systems on algebraic varieties of general type. (English) Zbl 1108.14031 Invent. Math. 165, No. 3, 551-587 (2006). Reviewer: Christopher Hacon (Salt Lake City) MSC: 14J40 14E05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Lei The generic finiteness of the \(m\)-canonical map for 3-folds of general type. (English) Zbl 1092.14049 Osaka J. Math. 42, No. 4, 873-884 (2005). Reviewer: Christopher Hacon (Salt Lake City) MSC: 14J30 14E05 × Cite Format Result Cite Review PDF
Chen, Meng Canonical stability of 3-folds of general type with \(p_ g\geq 3\). (English) Zbl 1070.14009 Int. J. Math. 14, No. 5, 515-528 (2003). Reviewer: Massimiliano Mella (Ferrara) MSC: 14C20 14E05 14J30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ronconi, M. Cristina A threefold of general type with \(q_1 = q_2 = p_g = P_2 = 0\). (English) Zbl 1051.14047 Acta Appl. Math. 75, No. 1-3, 133-150 (2003). Reviewer: Rita Pardini (Pisa) MSC: 14J30 14E05 14J70 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Tie Global holomorphic 2-forms and pluricanonical systems on threefolds. (English) Zbl 1005.14016 Math. Ann. 318, No. 4, 707-730 (2000). Reviewer: Vasile Brînzănescu (Bucureşti MSC: 14J30 14E30 14J50 14E05 × Cite Format Result Cite Review PDF Full Text: DOI
Kawamata, Yujiro On the extension problem of pluricanonical forms. (English) Zbl 0972.14005 Pragacz, Piotr (ed.) et al., Algebraic geometry: Hirzebruch 70. Proceedings of the algebraic geometry conference in honor of F. Hirzebruch’s 70th birthday, Stefan Banach International Mathematical Center, Warszawa, Poland, May 11-16, 1998. Providence, RI: American Mathematical Society. Contemp. Math. 241, 193-207 (1999). MSC: 14E05 14C20 × Cite Format Result Cite Review PDF Full Text: arXiv
Langer, Adrian Adjoint linear systems on normal surfaces. (English) Zbl 0943.14028 J. Algebr. Geom. 8, No. 1, 41-66 (1999). Reviewer: Yoshiaki Fukuma (Naruto) MSC: 14N30 14C20 × Cite Format Result Cite Review PDF
Catanese, Fabrizio; Franciosi, Marco; Hulek, Klaus; Reid, Miles Embeddings of curves and surfaces. (English) Zbl 0933.14003 Nagoya Math. J. 154, 185-220 (1999). Reviewer: K.Hulek (Hannover) MSC: 14E25 14J29 14C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Meng On pluricanonical maps for threefolds of general type. (English) Zbl 0916.14020 J. Math. Soc. Japan 50, No. 3, 615-621 (1998). Reviewer: Meng Chen (Trieste) MSC: 14J30 14E05 14E30 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Meng A theorem on pluricanonical maps of nonsingular minimal threefolds of general type. (English) Zbl 0947.14021 Chin. Ann. Math., Ser. B 19, No. 4, 415-420 (1998). MSC: 14J30 14E05 14J29 × Cite Format Result Cite Review PDF
Chen, Meng A note on pluricanonical maps for varieties of dimension 4 and 5. (English) Zbl 0937.14006 J. Math. Kyoto Univ. 37, No. 3, 513-517 (1997). MSC: 14E05 14C20 14J35 14J40 × Cite Format Result Cite Review PDF Full Text: DOI
Shin, Dong-Kwan On the pluricanonical map of threefolds of general type. (English) Zbl 0861.14035 Proc. Am. Math. Soc. 124, No. 12, 3641-3646 (1996). MSC: 14J30 14E05 × Cite Format Result Cite Review PDF Full Text: DOI
Ciliberto, Ciro A few comments on some aspects of the mathematical work of F. Enriques. (English) Zbl 0742.14001 Geometry and complex variables, Proc. Int. Meet. Occas. 9th Centen. Univ. Bologna, Bologna/Italy 1988, Lect. Notes Pure Appl. Math. 132, 89-109 (1991). Reviewer: J.Dieudonné (Paris) MSC: 14-03 01A60 01A70 14J10 × Cite Format Result Cite Review PDF
Reider, Igor Vector bundles of rank 2 and linear systems on algebraic surfaces. (English) Zbl 0663.14010 Ann. Math. (2) 127, No. 2, 309-316 (1988). Reviewer: A.Papantonopoulou MSC: 14F05 14J10 14C20 × Cite Format Result Cite Review PDF Full Text: DOI
Catanese, F. Canonical rings and “special” surfaces of general type. (English) Zbl 0656.14021 Algebraic geometry, Proc. Summer Res. Inst., Brunswick/Maine 1985, part 1, Proc. Symp. Pure Math. 46, 175-194 (1987). Reviewer: F.Campana MSC: 14J10 14E30 14J29 14J25 × Cite Format Result Cite Review PDF
Hanamura, Masaki Stability of the pluricanonical maps of threefolds. (English) Zbl 0639.14019 Algebraic geometry, Proc. Symp., Sendai/Jap. 1985, Adv. Stud. Pure Math. 10, 185-205 (1987). Reviewer: A.Lanteri MSC: 14J30 14C20 × Cite Format Result Cite Review PDF
Matsuki, Kenji On pluricanonical maps for 3-folds of general type. (English) Zbl 0576.14040 J. Math. Soc. Japan 38, 339-359 (1986). Reviewer: C.Bănică MSC: 14J30 14C20 × Cite Format Result Cite Review PDF Full Text: DOI
Hanamura, Masaki Pluricanonical maps of minimal 3-folds. (English) Zbl 0598.14032 Proc. Japan Acad., Ser. A 61, 116-118 (1985). Reviewer: V.Iliev MSC: 14J30 14E30 × Cite Format Result Cite Review PDF Full Text: DOI
Francia, Paolo The pluricanonical map for the surfaces of general type. (Italian) Zbl 0622.14031 Semin. Geom., Univ. Studi Bologna 1982-1983, 51-69 (1984). Reviewer: A.Buium MSC: 14J25 14J29 14E99 × Cite Format Result Cite Review PDF
Maehara, Kazuhisa Pluricanonical mappings of canonically polarized varieties. (English) Zbl 0526.14002 Proc. Japan Acad., Ser. A 59, 143-145 (1983). MSC: 14C20 14E05 × Cite Format Result Cite Review PDF Full Text: DOI
Catanese, Fabrizio Pluricanonical Gorenstein curves. (English) Zbl 0518.14017 Enumerative geometry and classical algebraic geometry, Prog. Math. 24, 51-95 (1982). MSC: 14E05 14M05 14E25 × Cite Format Result Cite Review PDF
Sakai, Fumio Semi-stable curves on algebraic surfaces and logarithmic pluricanonical maps. (English) Zbl 0431.14011 Math. Ann. 254, 89-120 (1980). MSC: 14J15 14H99 14H10 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Wilson, P. M. H. The pluricanonical map on varieties of general type. (English) Zbl 0399.14006 Bull. Lond. Math. Soc. 12, 103-107 (1980). MSC: 14E05 14C20 14J10 × Cite Format Result Cite Review PDF Full Text: DOI