Núñez, Roberto Volumes of line bundles as limits on generically nonreduced schemes. (English) Zbl 1511.14013 Rocky Mt. J. Math. 52, No. 6, 2129-2143 (2022). MSC: 14C17 14C40 PDF BibTeX XML Cite \textit{R. Núñez}, Rocky Mt. J. Math. 52, No. 6, 2129--2143 (2022; Zbl 1511.14013) Full Text: DOI arXiv Link
Cotterill, Ethan; Gonzalo, Adrián Alonso; Zhang, Naizhen The strong maximal rank conjecture and higher rank Brill-Noether theory. (English) Zbl 1475.14058 J. Lond. Math. Soc., II. Ser. 104, No. 1, 169-205 (2021). Reviewer: Nicolae Manolache (Bucureşti) MSC: 14H51 14H60 05E05 05E10 PDF BibTeX XML Cite \textit{E. Cotterill} et al., J. Lond. Math. Soc., II. Ser. 104, No. 1, 169--205 (2021; Zbl 1475.14058) Full Text: DOI arXiv
Cutkosky, Steven Dale; Núñez, Roberto Volumes of line bundles on schemes. (English) Zbl 1469.14022 Proc. Am. Math. Soc. 149, No. 10, 4099-4108 (2021). MSC: 14C40 14C17 PDF BibTeX XML Cite \textit{S. D. Cutkosky} and \textit{R. Núñez}, Proc. Am. Math. Soc. 149, No. 10, 4099--4108 (2021; Zbl 1469.14022) Full Text: DOI arXiv
Fukuma, Yoshiaki A note on classification of generalized polarized manifolds by the \(c_r\)-sectional Hodge number of type \((1, 1)\) and the \(c_r\)-sectional Betti number. (English) Zbl 1399.14017 Rev. Roum. Math. Pures Appl. 62, No. 4, 529-535 (2017). MSC: 14J60 14C17 14C20 14C40 14J30 14J35 14J40 PDF BibTeX XML Cite \textit{Y. Fukuma}, Rev. Roum. Math. Pures Appl. 62, No. 4, 529--535 (2017; Zbl 1399.14017)
Cutkosky, Steven Dale Teissier’s problem on inequalities of nef divisors. (English) Zbl 1353.14009 J. Algebra Appl. 14, No. 9, Article ID 1540002, 37 p. (2015). MSC: 14C17 14C40 PDF BibTeX XML Cite \textit{S. D. Cutkosky}, J. Algebra Appl. 14, No. 9, Article ID 1540002, 37 p. (2015; Zbl 1353.14009) Full Text: DOI arXiv
Barja, Miguel A. Generalized Clifford-Severi inequality and the volume of irregular varieties. (English) Zbl 1409.14013 Duke Math. J. 164, No. 3, 541-568 (2015). MSC: 14C20 14C17 14J10 14J29 14J30 14J35 PDF BibTeX XML Cite \textit{M. A. Barja}, Duke Math. J. 164, No. 3, 541--568 (2015; Zbl 1409.14013) Full Text: DOI arXiv Euclid
Zhao, Yicai; Liang, Shuyu A characterization theorem on complete intersection manifolds to be projective spaces. (Chinese. English summary) Zbl 1324.53066 J. Jinan Univ., Nat. Sci. Med. Ed. 35, No. 3, 337-338 (2014). MSC: 53C56 32C15 PDF BibTeX XML Cite \textit{Y. Zhao} and \textit{S. Liang}, J. Jinan Univ., Nat. Sci. Med. Ed. 35, No. 3, 337--338 (2014; Zbl 1324.53066)
Fukuma, Yoshiaki Classification of polarized manifolds by the second sectional Betti number. II. (English) Zbl 1295.14007 Rend. Ist. Mat. Univ. Trieste 45, 47-66 (2013). Reviewer: Hiroyuki Terakawa (Tsuru) MSC: 14C20 14C17 14J30 14J35 14J40 PDF BibTeX XML Cite \textit{Y. Fukuma}, Rend. Ist. Mat. Univ. Trieste 45, 47--66 (2013; Zbl 1295.14007)
Fukuma, Yoshiaki Effective non-vanishing of global sections of multiple adjoint bundles for polarized 4-folds. (English) Zbl 1271.14012 J. Pure Appl. Algebra 217, No. 8, 1535-1547 (2013). Reviewer: Andreas Höring (Nice) MSC: 14C20 14C17 14J30 14J35 14J40 PDF BibTeX XML Cite \textit{Y. Fukuma}, J. Pure Appl. Algebra 217, No. 8, 1535--1547 (2013; Zbl 1271.14012) Full Text: DOI arXiv
Fukuma, Yoshiaki Invariants of ample line bundles on projective varieties and their applications. III. (English) Zbl 1254.14008 Kodai Math. J. 35, No. 2, 320-344 (2012). Reviewer: Antonio Lanteri (Milano) MSC: 14C20 14C17 14J40 14N30 14E30 PDF BibTeX XML Cite \textit{Y. Fukuma}, Kodai Math. J. 35, No. 2, 320--344 (2012; Zbl 1254.14008) Full Text: DOI Euclid
Syzdek, Wioletta; Szemberg, Tomasz Seshadri constants and surfaces of minimal degree. (English) Zbl 1183.14061 Bull. Belg. Math. Soc. - Simon Stevin 16, No. 5, 953-959 (2009). Reviewer: Vincenzo Di Gennaro (Roma) MSC: 14J99 14C17 14C20 14D06 14E25 PDF BibTeX XML Cite \textit{W. Syzdek} and \textit{T. Szemberg}, Bull. Belg. Math. Soc. - Simon Stevin 16, No. 5, 953--959 (2009; Zbl 1183.14061) Full Text: arXiv Euclid
Fukuma, Yoshiaki A classification of polarized manifolds by the sectional Betti number and the sectional Hodge number. (English) Zbl 1156.14007 Adv. Geom. 8, No. 4, 591-614 (2008). Reviewer: Roberto Munoz (Madrid) MSC: 14C20 14C17 14C30 14C40 PDF BibTeX XML Cite \textit{Y. Fukuma}, Adv. Geom. 8, No. 4, 591--614 (2008; Zbl 1156.14007) Full Text: DOI
Soulé, Christophe Secant varieties and successive minima. (English) Zbl 1073.14037 J. Algebr. Geom. 13, No. 2, 323-341 (2004). Reviewer: Boris Kunyavskii (Ramat Gan) MSC: 14G40 14J20 14C17 11A07 PDF BibTeX XML Cite \textit{C. Soulé}, J. Algebr. Geom. 13, No. 2, 323--341 (2004; Zbl 1073.14037) Full Text: DOI arXiv
Lanteri, Antonio; Maeda, Hidetoshi Ample vector bundles with zero loci having a bielliptic curve section. (English) Zbl 1034.14016 Collect. Math. 54, No. 1, 73-85 (2003). Reviewer: Paolo A. Oliverio (Rende) MSC: 14J60 14C17 PDF BibTeX XML Cite \textit{A. Lanteri} and \textit{H. Maeda}, Collect. Math. 54, No. 1, 73--85 (2003; Zbl 1034.14016) Full Text: EuDML
de Cataldo, Mark Andrea A.; Migliorini, Luca The hard Lefschetz theorem and the topology of semismall maps. (English) Zbl 1021.14004 Ann. Sci. Éc. Norm. Supér. (4) 35, No. 5, 759-772 (2002). Reviewer: Vasily A.Chernecky (Odessa) MSC: 14F05 32S60 32L05 14C20 14C17 PDF BibTeX XML Cite \textit{M. A. A. de Cataldo} and \textit{L. Migliorini}, Ann. Sci. Éc. Norm. Supér. (4) 35, No. 5, 759--772 (2002; Zbl 1021.14004) Full Text: DOI arXiv Numdam EuDML
Lott, John Higher-degree analogs of the determinant line bundle. (English) Zbl 1027.58026 Commun. Math. Phys. 230, No. 1, 41-69 (2002). Reviewer: Katharina Habermann (Greifswald) MSC: 58J52 19K56 34L40 14F43 PDF BibTeX XML Cite \textit{J. Lott}, Commun. Math. Phys. 230, No. 1, 41--69 (2002; Zbl 1027.58026) Full Text: DOI arXiv
Kaddar, Mohamed Line bundles and Cartier divisors on cycle spaces in analytic geometry. (Fibré en droites et diviseurs de Cartier sur l’espace des cycles en géométrie analytique complexe.) (French) Zbl 0968.32004 C. R. Acad. Sci., Paris, Sér. I, Math. 331, No. 10, 815-818 (2000). Reviewer: Z.Hajto (Kraków) MSC: 32C36 32C30 32G13 32S60 14C20 PDF BibTeX XML Cite \textit{M. Kaddar}, C. R. Acad. Sci., Paris, Sér. I, Math. 331, No. 10, 815--818 (2000; Zbl 0968.32004) Full Text: DOI
Demailly, Jean-Pierre \(L^2\) methods and effective results in algebraic geometry. (Méthodes \(L^2\) et résultats effectifs en géométrie algébrique.) (French) Zbl 0962.14014 Séminaire Bourbaki. Volume 1998/99. Exposés 850-864. Paris: Société Mathématique de France, Astérisque. 266, 59-90, Exp. No. 852 (2000). Reviewer: Taras E.Panov (Moskva) MSC: 14F43 14C30 14J60 14F05 14C20 32J25 14N30 PDF BibTeX XML Cite \textit{J.-P. Demailly}, in: Séminaire Bourbaki. Volume 1998/99. Exposés 850--864. Paris: Société Mathé\-ma\-ti\-que de France. 59--90, Exp. No. 852 (2000; Zbl 0962.14014) Full Text: Numdam EuDML
Maillot, Vincent Géométrie d’Arakelov des variétés toriques et fibrés en droites intégrables. (Arakelov geometry of toric varieties and integrable line bundles). (French) Zbl 0963.14009 Mém. Soc. Math. Fr., Nouv. Sér. 80, 129 p. (2000). Reviewer: B.Kunyavskii (Ramat Gan) MSC: 14G40 14M25 11D75 11G50 PDF BibTeX XML Cite \textit{V. Maillot}, Mém. Soc. Math. Fr., Nouv. Sér. 80, 129 p. (2000; Zbl 0963.14009) Full Text: DOI Numdam EuDML
Kawaguchi, Shu Height and arithmetic intersection for a family of semi-stable curves. (English) Zbl 0973.14012 J. Math. Kyoto Univ. 39, No. 3, 469-492 (1999). Reviewer: A.Dabrowski (Szczecin) MSC: 14G40 14C40 11G50 PDF BibTeX XML Cite \textit{S. Kawaguchi}, J. Math. Kyoto Univ. 39, No. 3, 469--492 (1999; Zbl 0973.14012) Full Text: DOI arXiv
Küchle, Oliver; Steffens, Andreas Bounds for Seshadri constants. (English) Zbl 0978.14005 Hulek, Klaus (ed.) et al., New trends in algebraic geometry. Selected papers presented at the Euro conference, Warwick, UK, July 1996. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 264, 235-254 (1999). MSC: 14C20 14C17 PDF BibTeX XML Cite \textit{O. Küchle} and \textit{A. Steffens}, Lond. Math. Soc. Lect. Note Ser. 264, 235--254 (1999; Zbl 0978.14005) Full Text: arXiv
Palleschi, Marino; Turrini, Cristina On polarized surfaces with a small generalized class. (English) Zbl 0987.14003 Extr. Math. 13, No. 3, 371-381 (1998). Reviewer: Edoardo Ballico (Povo) MSC: 14C17 14N30 14N05 14C20 14J25 PDF BibTeX XML Cite \textit{M. Palleschi} and \textit{C. Turrini}, Extr. Math. 13, No. 3, 371--381 (1998; Zbl 0987.14003) Full Text: EuDML
Kühn, Ulf Generalized arithmetic intersection numbers. (English. Abridged French version) Zbl 0926.14010 C. R. Acad. Sci., Paris, Sér. I, Math. 327, No. 3, 283-288 (1998). Reviewer: Yuichiro Takeda (MR 99j:14026) MSC: 14G40 14C17 14G10 11G40 PDF BibTeX XML Cite \textit{U. Kühn}, C. R. Acad. Sci., Paris, Sér. I, Math. 327, No. 3, 283--288 (1998; Zbl 0926.14010) Full Text: DOI
Demailly, Jean-Pierre \(L^ 2\) vanishing theorems for positive line bundles and adjunction theory. (English) Zbl 0883.14005 Catanese, F. (ed.) et al., Transcendental methods in algebraic geometry. Lectures given at the 3rd session of the Centro Internazionale Matematico Estivo (CIME), Cetraro, Italy, July 4–12, 1994. Cetraro: Springer. Lect. Notes Math. 1646, 1-97 (1996). Reviewer: N.Blažić (Beograd) MSC: 14F17 32L05 14F43 14F05 32L20 32C30 32W20 PDF BibTeX XML Cite \textit{J.-P. Demailly}, Lect. Notes Math. 1646, 1--97 (1996; Zbl 0883.14005)
Abbes, Ahmed; Bouche, Thierry Arithmetic Hilbert-Samuel theorem. (Théorème de Hilbert-Samuel arithmétique.) (French) Zbl 0818.14011 Ann. Inst. Fourier 45, No. 2, 375-401 (1995). MSC: 14G40 32L10 13D40 11G99 PDF BibTeX XML Cite \textit{A. Abbes} and \textit{T. Bouche}, Ann. Inst. Fourier 45, No. 2, 375--401 (1995; Zbl 0818.14011) Full Text: DOI Numdam EuDML
Fulton, William Introduction to toric varieties. The 1989 William H. Roever lectures in geometry. (English) Zbl 0813.14039 Annals of Mathematics Studies. 131. Princeton, NJ: Princeton University Press. xi, 157 p. (1993). Reviewer: K.Drechsler (Halle-Neustadt) MSC: 14M25 14-02 14J17 14L30 14F35 14C17 51M20 PDF BibTeX XML Cite \textit{W. Fulton}, Introduction to toric varieties. The 1989 William H. Roever lectures in geometry. Princeton, NJ: Princeton University Press (1993; Zbl 0813.14039) Full Text: DOI
Demailly, Jean-Pierre A numerical criterion for very ample line bundles. (English) Zbl 0783.32013 J. Differ. Geom. 37, No. 2, 323-374 (1993). Reviewer: J.-P.Demailly (Saint-Martin d’Hères) MSC: 32J15 32L10 32C30 PDF BibTeX XML Cite \textit{J.-P. Demailly}, J. Differ. Geom. 37, No. 2, 323--374 (1993; Zbl 0783.32013) Full Text: DOI
D’Souza, Harry; Fania, Maria Lucia Varieties whose surface sections are elliptic. (English) Zbl 0702.14032 Tôhoku Math. J., II. Ser. (to appear). Reviewer: H.D’Souza MSC: 14J10 14C17 14E30 14J27 14J35 14J40 PDF BibTeX XML
Li, Guisong On the generalized J-homomorphism. (English) Zbl 0737.55011 Chin. Sci. Bull. 36, No. 16, 1321-1324 (1991). Reviewer: Y.Furukawa (Kariya City) MSC: 55Q50 55R25 57N65 PDF BibTeX XML Cite \textit{G. Li}, Chin. Sci. Bull. 36, No. 16, 1321--1324 (1991; Zbl 0737.55011)
Biancofiore, Aldo; Fania, Lucia Maria; Lanteri, Antonio Polarized surfaces with hyperelliptic sections. (English) Zbl 0733.14018 Pac. J. Math. 143, No. 1, 9-24 (1990). Reviewer: M.Vaquie (Paris) MSC: 14J60 14J10 14C20 14H52 14C17 PDF BibTeX XML Cite \textit{A. Biancofiore} et al., Pac. J. Math. 143, No. 1, 9--24 (1990; Zbl 0733.14018) Full Text: DOI
Fania, Maria Lucia Trigonal hyperplane sections of projective surfaces. (English) Zbl 0729.14028 Manuscr. Math. 68, No. 1, 17-34 (1990). Reviewer: M.Beltrametti (Genova) MSC: 14J25 14C17 14H45 14N05 PDF BibTeX XML Cite \textit{M. L. Fania}, Manuscr. Math. 68, No. 1, 17--34 (1990; Zbl 0729.14028) Full Text: DOI EuDML
Elkik, R. Métriques sur les fibrés d’intersection. (Metrics on intersection fiber bundles). (French) Zbl 0706.14008 Duke Math. J. 61, No. 1, 303-328 (1990). Reviewer: J.H.de Boer MSC: 14F05 57R20 PDF BibTeX XML Cite \textit{R. Elkik}, Duke Math. J. 61, No. 1, 303--328 (1990; Zbl 0706.14008) Full Text: DOI
Elkik, R. Fibrés d’intersections et intégrales de classes de Chern. (Intersection bundles and integrals of Chern classes). (French) Zbl 0701.14003 Ann. Sci. Éc. Norm. Supér. (4) 22, No. 2, 195-226 (1989). Reviewer: J.H.de Boer MSC: 14C17 14F05 PDF BibTeX XML Cite \textit{R. Elkik}, Ann. Sci. Éc. Norm. Supér. (4) 22, No. 2, 195--226 (1989; Zbl 0701.14003) Full Text: DOI Numdam EuDML
Biancofiore, Aldo; Livorni, Elvira Laura On the iteration of the adjunction process for surfaces of negative Kodaira dimension. (English) Zbl 0687.14030 Manuscr. Math. 64, No. 1, 35-54 (1989). Reviewer: M.Beltrametti MSC: 14J26 14J25 14E30 14C17 14J10 PDF BibTeX XML Cite \textit{A. Biancofiore} and \textit{E. L. Livorni}, Manuscr. Math. 64, No. 1, 35--54 (1989; Zbl 0687.14030) Full Text: DOI EuDML
Brivio, Sonia On projective manifolds admitting 3-gonal or 4-gonal curve sections. (English) Zbl 0756.14015 Matematiche 44, No. 2, 163-172 (1989). MSC: 14H10 14C20 14C17 PDF BibTeX XML Cite \textit{S. Brivio}, Matematiche 44, No. 2, 163--172 (1989; Zbl 0756.14015)
Cho, Yong Seung Finite group actions on the moduli space. (English) Zbl 0705.57020 Algebra and topology, Proc. 3rd Workshop, Taejon/Korea 1988, Proc. KIT Math. Workshop 3, 123-132 (1988). Reviewer: D.Repovš MSC: 57S17 81T13 PDF BibTeX XML
Mukai, Shigeru Curves, K3 surfaces and Fano 3-folds of genus \(\leq 10\). (English) Zbl 0701.14044 Algebraic geometry and commutative algebra, in Honor of Masayoshi Nagata, Vol. I, 357-377 (1988). Reviewer: C.Bănică MSC: 14M10 14J28 14H10 14J30 PDF BibTeX XML
Fania, Maria Lucia; Sommese, Andrew John Varieties whose hyperplane section are \({\mathbb{P}}^ k_{{\mathbb{C}}}\) bundles. (English) Zbl 0691.14004 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 15, No. 2, 193-218 (1988). Reviewer: A.J.Sommese MSC: 14C17 14J35 14C20 14J10 14F05 PDF BibTeX XML Cite \textit{M. L. Fania} and \textit{A. J. Sommese}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 15, No. 2, 193--218 (1988; Zbl 0691.14004) Full Text: Numdam EuDML
Beltrametti, Mauro; Sommese, Andrew John On generically polarized Gorenstein surfaces of sectional genus two. (English) Zbl 0652.14014 J. Reine Angew. Math. 386, 172-186 (1988). Reviewer: A.Kustin MSC: 14J10 14M05 14C20 PDF BibTeX XML Cite \textit{M. Beltrametti} and \textit{A. J. Sommese}, J. Reine Angew. Math. 386, 172--186 (1988; Zbl 0652.14014) Full Text: Crelle EuDML
Chang, M. C.; Ran, Z. Divisors on \(\overline{{\mathcal M}}_ {\mathbf{g}}\) and the cosmological constant. (English) Zbl 0672.14015 Mathematical aspects of string theory, Proc. Conf., San Diego/Calif. 1986, Adv. Ser. Math. Phys. 1, 386-393 (1987). Reviewer: W.W.J.Hulsbergen MSC: 14H10 81T30 PDF BibTeX XML
Sato, Eiichi; Spindler, Heinz On the structure of 4 folds with a hyperplane section which is a \({\mathbb{P}}^ 1\) bundle over a ruled surface. (English) Zbl 0599.14037 Complex analysis and algebraic geometry, Proc. Conf., Göttingen 1985, Lect. Notes Math. 1194, 145-149 (1986). Reviewer: A.Lanteri MSC: 14J35 14F05 14C20 PDF BibTeX XML
Lusztig, George Characters of reductive groups over a finite field. (English) Zbl 0556.20033 Annals of Mathematics Studies, 107. Princeton, New Jersey: Princeton University Press. XXI, 384 p. hbk: $ 65.00; pbk: $ 25.50 (1984). Reviewer: P.Gérardin MSC: 20G05 20G40 20-02 20G10 17B35 14F20 14L30 PDF BibTeX XML Full Text: DOI
Fujita, Takao Theorems of Bertini type for certain types of polarized manifolds. (English) Zbl 0489.14001 J. Math. Soc. Japan 34, 709-718 (1982). MSC: 14C20 14F05 32L05 14J25 PDF BibTeX XML Cite \textit{T. Fujita}, J. Math. Soc. Japan 34, 709--718 (1982; Zbl 0489.14001) Full Text: DOI
Varley, Robert Vector bundles on cones over projective schemes. (English) Zbl 0526.14008 Invent. Math. 62, 15-22 (1980). MSC: 14C35 14F05 14C20 14M10 14B05 PDF BibTeX XML Cite \textit{R. Varley}, Invent. Math. 62, 15--22 (1980; Zbl 0526.14008) Full Text: DOI EuDML