Zhu, Yuehuan Second main theorem for meromorphic mappings on \(p\)-parabolic manifolds intersecting hypersurfaces in subgeneral position. (English) Zbl 07780358 Bull. Korean Math. Soc. 60, No. 6, 1621-1639 (2023). MSC: 32H30 PDFBibTeX XMLCite \textit{Y. Zhu}, Bull. Korean Math. Soc. 60, No. 6, 1621--1639 (2023; Zbl 07780358) Full Text: DOI
Si Duc Quang Holomorphic maps from complex discs intersecting hypersurfaces of projective varieties. (English) Zbl 1523.32028 Complex Var. Elliptic Equ. 68, No. 10, 1775-1800 (2023). MSC: 32H30 32A22 PDFBibTeX XMLCite \textit{Si Duc Quang}, Complex Var. Elliptic Equ. 68, No. 10, 1775--1800 (2023; Zbl 1523.32028) Full Text: DOI arXiv
Le, Giang An effective Schmidt’s subspace theorem for arbitrary hypersurfaces over function fields. (English) Zbl 1517.11095 Int. J. Number Theory 19, No. 2, 331-346 (2023). Reviewer: István Gaál (Debrecen) MSC: 11J97 11J68 PDFBibTeX XMLCite \textit{G. Le}, Int. J. Number Theory 19, No. 2, 331--346 (2023; Zbl 1517.11095) Full Text: DOI
Nickel, Matthias Local positivity and effective Diophantine approximation. (English) Zbl 1510.11124 Abh. Math. Semin. Univ. Hamb. 92, No. 2, 125-138 (2022). Reviewer: István Gaál (Debrecen) MSC: 11J68 14C20 PDFBibTeX XMLCite \textit{M. Nickel}, Abh. Math. Semin. Univ. Hamb. 92, No. 2, 125--138 (2022; Zbl 1510.11124) Full Text: DOI arXiv
Si, Duc Quang Quantitative subspace theorem and general form of second main theorem for higher degree polynomials. (English) Zbl 1504.11078 Manuscr. Math. 169, No. 3-4, 519-547 (2022). Reviewer: István Gaál (Debrecen) MSC: 11J68 32H30 11J25 11J97 32A22 PDFBibTeX XMLCite \textit{D. Q. Si}, Manuscr. Math. 169, No. 3--4, 519--547 (2022; Zbl 1504.11078) Full Text: DOI arXiv
Si Duc Quang Generalizations of degeneracy second main theorem and Schmidt’s subspace theorem. (English) Zbl 1501.11073 Pac. J. Math. 318, No. 1, 153-188 (2022). Reviewer: István Gaál (Debrecen) MSC: 11J68 32H30 11J25 30D35 32A22 PDFBibTeX XMLCite \textit{Si Duc Quang}, Pac. J. Math. 318, No. 1, 153--188 (2022; Zbl 1501.11073) Full Text: DOI arXiv
Ha, Phuong Tran; Vilaisavanh, Leuanglith On fundamental theorems for holomorphic curves on an annulus intersecting hypersurfaces. (English) Zbl 1486.30146 Bull. Iran. Math. Soc. 48, No. 1, 151-163 (2022). MSC: 30H30 PDFBibTeX XMLCite \textit{P. T. Ha} and \textit{L. Vilaisavanh}, Bull. Iran. Math. Soc. 48, No. 1, 151--163 (2022; Zbl 1486.30146) Full Text: DOI
Shi, Lei; Yan, Qiming A second main theorem for holomorphic maps into the projective space with hypersurfaces. (English) Zbl 1487.32087 J. Geom. Anal. 32, No. 3, Paper No. 85, 28 p. (2022). MSC: 32H30 32A22 PDFBibTeX XMLCite \textit{L. Shi} and \textit{Q. Yan}, J. Geom. Anal. 32, No. 3, Paper No. 85, 28 p. (2022; Zbl 1487.32087) Full Text: DOI
Si, Duc Quang Meromorphic mappings into projective varieties with arbitrary families of moving hypersurfaces. (English) Zbl 1487.32088 J. Geom. Anal. 32, No. 2, Paper No. 52, 29 p. (2022). MSC: 32H30 32A22 PDFBibTeX XMLCite \textit{D. Q. Si}, J. Geom. Anal. 32, No. 2, Paper No. 52, 29 p. (2022; Zbl 1487.32088) Full Text: DOI arXiv
Duan, Lizhen; Cao, Hongzhe Second main theorem for algebraic curves on compact Riemann surfaces. (Chinese. English summary) Zbl 1513.32032 Acta Math. Sci., Ser. A, Chin. Ed. 41, No. 6, 1585-1597 (2021). MSC: 32H30 32A22 53A10 PDFBibTeX XMLCite \textit{L. Duan} and \textit{H. Cao}, Acta Math. Sci., Ser. A, Chin. Ed. 41, No. 6, 1585--1597 (2021; Zbl 1513.32032) Full Text: Link
Xie, Libing; Cao, Tingbin Second main theorem for meromorphic maps into algebraic varieties intersecting moving hypersurfaces targets. (English) Zbl 1476.32007 Chin. Ann. Math., Ser. B 42, No. 5, 753-776 (2021). MSC: 32H30 PDFBibTeX XMLCite \textit{L. Xie} and \textit{T. Cao}, Chin. Ann. Math., Ser. B 42, No. 5, 753--776 (2021; Zbl 1476.32007) Full Text: DOI arXiv
Si Duc Quang; Le Ngoc Quynh; Nguyen Thi Nhung Non-integrated defect relation for meromorphic maps from Kähler manifolds with hypersurfaces of a projective variety in subgeneral position. (English) Zbl 1478.32045 Tohoku Math. J. (2) 73, No. 2, 199-219 (2021). MSC: 32H30 32A22 PDFBibTeX XMLCite \textit{Si Duc Quang} et al., Tôhoku Math. J. (2) 73, No. 2, 199--219 (2021; Zbl 1478.32045) Full Text: DOI arXiv
He, Yan; Ru, Min A generalized subspace theorem for closed subschemes in subgeneral position. (English) Zbl 1481.11076 J. Number Theory 229, 125-141 (2021). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11J87 11J97 11J13 14C20 32H30 PDFBibTeX XMLCite \textit{Y. He} and \textit{M. Ru}, J. Number Theory 229, 125--141 (2021; Zbl 1481.11076) Full Text: DOI arXiv
Pham Duc Thoan; Nguyen Hai Nam; Vangty, Noulorvang \(q\)-differences theorems for meromorphic maps of several complex variables intersecting hypersurfaces. (English) Zbl 1464.32023 Asian-Eur. J. Math. 14, No. 3, Article ID 2150040, 21 p. (2021). MSC: 32H30 32A22 PDFBibTeX XMLCite \textit{Pham Duc Thoan} et al., Asian-Eur. J. Math. 14, No. 3, Article ID 2150040, 21 p. (2021; Zbl 1464.32023) Full Text: DOI
Cao, T.-B.; Korhonen, R. J. Value distribution of \(q\)-differences of meromorphic functions in several complex variables. (English) Zbl 1474.32039 Anal. Math. 46, No. 4, 699-736 (2020). Reviewer: Indrajit Lahiri (Kalyani) MSC: 32H30 30D35 39A14 32H04 PDFBibTeX XMLCite \textit{T. B. Cao} and \textit{R. J. Korhonen}, Anal. Math. 46, No. 4, 699--736 (2020; Zbl 1474.32039) Full Text: DOI arXiv
Heier, Gordon; Levin, Aaron On the degeneracy of integral points and entire curves in the complement of nef effective divisors. (English) Zbl 1456.11119 J. Number Theory 217, 301-319 (2020). MSC: 11G35 11G50 11J87 14C20 14G05 14G40 32H30 32Q45 PDFBibTeX XMLCite \textit{G. Heier} and \textit{A. Levin}, J. Number Theory 217, 301--319 (2020; Zbl 1456.11119) Full Text: DOI arXiv
Ji, Qingchun; Yan, Qiming; Yu, Guangsheng Subspace theorem for moving hypersurfaces and semi-decomposable form inequalities. (English) Zbl 1452.11082 J. Number Theory 215, 28-51 (2020). Reviewer: Mahadi Ddamulira (Saarbrücken) MSC: 11J68 11J25 11J97 PDFBibTeX XMLCite \textit{Q. Ji} et al., J. Number Theory 215, 28--51 (2020; Zbl 1452.11082) Full Text: DOI
Dethloff, Gerd; Tran Van Tan Holomorphic curves into algebraic varieties intersecting moving hypersurface targets. (English) Zbl 1477.32026 Acta Math. Vietnam. 45, No. 1, 291-308 (2020). MSC: 32H30 11J87 PDFBibTeX XMLCite \textit{G. Dethloff} and \textit{Tran Van Tan}, Acta Math. Vietnam. 45, No. 1, 291--308 (2020; Zbl 1477.32026) Full Text: DOI arXiv
Yan, Qiming; Yu, Guangsheng Cartan’s conjecture for moving hypersurfaces. (English) Zbl 1432.32018 Math. Z. 292, No. 3-4, 1051-1067 (2019). Reviewer: Si Duc Quang (Hanoi) MSC: 32H30 30D35 PDFBibTeX XMLCite \textit{Q. Yan} and \textit{G. Yu}, Math. Z. 292, No. 3--4, 1051--1067 (2019; Zbl 1432.32018) Full Text: DOI arXiv
Ji, Qingchun; Yan, Qiming; Yu, Guangsheng Holomorphic curves into algebraic varieties intersecting divisors in subgeneral position. (English) Zbl 1444.32017 Math. Ann. 373, No. 3-4, 1457-1483 (2019). Reviewer: Rong Du (Shanghai) MSC: 32H30 32A22 11J97 PDFBibTeX XMLCite \textit{Q. Ji} et al., Math. Ann. 373, No. 3--4, 1457--1483 (2019; Zbl 1444.32017) Full Text: DOI arXiv
Si Duc Quang A generalization of the subspace theorem for higher degree polynomials in subgeneral position. (English) Zbl 1452.11083 Int. J. Number Theory 15, No. 4, 775-788 (2019). Reviewer: István Gaál (Debrecen) MSC: 11J68 11J25 11J97 PDFBibTeX XMLCite \textit{Si Duc Quang}, Int. J. Number Theory 15, No. 4, 775--788 (2019; Zbl 1452.11083) Full Text: DOI arXiv
Si Duc Quang Degeneracy second main theorems for meromorphic mappings into projective varieties with hypersurfaces. (English) Zbl 1483.32008 Trans. Am. Math. Soc. 371, No. 4, 2431-2453 (2019). MSC: 32H30 32A22 30D35 PDFBibTeX XMLCite \textit{Si Duc Quang}, Trans. Am. Math. Soc. 371, No. 4, 2431--2453 (2019; Zbl 1483.32008) Full Text: DOI arXiv
Nguyen Thanh Son; Tran Van Tan; Nguyen Van Thin Schmidt’s subspace theorem for moving hypersurface targets. (English) Zbl 1446.11141 J. Number Theory 186, 346-369 (2018). Reviewer: István Gaál (Debrecen) MSC: 11J87 11J25 11J68 11J97 PDFBibTeX XMLCite \textit{Nguyen Thanh Son} et al., J. Number Theory 186, 346--369 (2018; Zbl 1446.11141) Full Text: DOI arXiv
Ru, Min A Cartan’s second main theorem approach in Nevanlinna theory. (English) Zbl 1407.32006 Acta Math. Sin., Engl. Ser. 34, No. 8, 1208-1224 (2018). Reviewer: Risto Korhonen (Joensuu) MSC: 32H30 11J97 PDFBibTeX XMLCite \textit{M. Ru}, Acta Math. Sin., Engl. Ser. 34, No. 8, 1208--1224 (2018; Zbl 1407.32006) Full Text: DOI
Si Duc Quang Second main theorem for meromorphic mappings with moving hypersurfaces in subgeneral position. (English) Zbl 1391.32021 J. Math. Anal. Appl. 465, No. 1, 604-623 (2018). MSC: 32H30 PDFBibTeX XMLCite \textit{Si Duc Quang}, J. Math. Anal. Appl. 465, No. 1, 604--623 (2018; Zbl 1391.32021) Full Text: DOI arXiv
Si Duc Quang Schmidt’s subspace theorem for moving hypersurfaces in subgeneral position. (English) Zbl 1428.11135 Int. J. Number Theory 14, No. 1, 103-121 (2018). MSC: 11J87 11J68 11J25 11J97 PDFBibTeX XMLCite \textit{Si Duc Quang}, Int. J. Number Theory 14, No. 1, 103--121 (2018; Zbl 1428.11135) Full Text: DOI arXiv
Ru, Min On a general Diophantine inequality. (English) Zbl 1432.11101 Funct. Approximatio, Comment. Math. 56, No. 2, 143-163 (2017). MSC: 11J97 11J87 PDFBibTeX XMLCite \textit{M. Ru}, Funct. Approximatio, Comment. Math. 56, No. 2, 143--163 (2017; Zbl 1432.11101) Full Text: DOI Euclid
Ru, Min; Wang, Julie A subspace theorem for subvarieties. (English) Zbl 1439.11181 Algebra Number Theory 11, No. 10, 2323-2337 (2017). MSC: 11J97 11J87 14G05 PDFBibTeX XMLCite \textit{M. Ru} and \textit{J. Wang}, Algebra Number Theory 11, No. 10, 2323--2337 (2017; Zbl 1439.11181) Full Text: DOI Euclid
Si Duc Quang; Nguyen Thi Quynh Phuong; Nguyen Thi Nhung Non-integrated defect relation for meromorphic maps from a Kähler manifold intersecting hypersurfaces in subgeneral of \(\mathbb{P}^n(\mathbb{C})\). (English) Zbl 1367.32016 J. Math. Anal. Appl. 452, No. 2, 1434-1452 (2017). MSC: 32H30 32H04 PDFBibTeX XMLCite \textit{Si Duc Quang} et al., J. Math. Anal. Appl. 452, No. 2, 1434--1452 (2017; Zbl 1367.32016) Full Text: DOI arXiv
Liao, Hungzen Quantitative geometric and arithmetic results on projective surfaces. (English) Zbl 1378.32011 Proc. Am. Math. Soc. 145, No. 6, 2495-2504 (2017). Reviewer: Risto Korhonen (Joensuu) MSC: 32H30 PDFBibTeX XMLCite \textit{H. Liao}, Proc. Am. Math. Soc. 145, No. 6, 2495--2504 (2017; Zbl 1378.32011) Full Text: DOI
Ru, Min A defect relation for holomorphic curves intersecting general divisors in projective varieties. (English) Zbl 1355.32013 J. Geom. Anal. 26, No. 4, 2751-2776 (2016). Reviewer: Konstantin Malyutin (Sumy) MSC: 32H30 PDFBibTeX XMLCite \textit{M. Ru}, J. Geom. Anal. 26, No. 4, 2751--2776 (2016; Zbl 1355.32013) Full Text: DOI
Le, Giang Schmidt’s subspace theorem for moving hypersurface targets. (English) Zbl 1325.11065 Int. J. Number Theory 11, No. 1, 139-158 (2015). Reviewer: Yaochen Zhu (Beijing) MSC: 11J68 11J25 11J97 PDFBibTeX XMLCite \textit{G. Le}, Int. J. Number Theory 11, No. 1, 139--158 (2015; Zbl 1325.11065) Full Text: DOI
Levin, Aaron On the Schmidt subspace theorem for algebraic points. (English) Zbl 1321.11073 Duke Math. J. 163, No. 15, 2841-2885 (2014). Reviewer: Yu Yasufuku (Tokyo) MSC: 11J87 11J97 11J25 PDFBibTeX XMLCite \textit{A. Levin}, Duke Math. J. 163, No. 15, 2841--2885 (2014; Zbl 1321.11073) Full Text: DOI arXiv Euclid
Chen, ZhiHua; Ru, Min; Yan, QiMing The degenerated second main theorem and Schmidt’s subspace theorem. (English) Zbl 1257.32014 Sci. China, Math. 55, No. 7, 1367-1380 (2012). MSC: 32H30 11J68 11J25 11J87 PDFBibTeX XMLCite \textit{Z. Chen} et al., Sci. China, Math. 55, No. 7, 1367--1380 (2012; Zbl 1257.32014) Full Text: DOI
Tran Van Tan; Vu Van Truong A non-integrated defect relation for meromorphic maps of complete Kähler manifolds into a projective variety intersecting hypersurfaces. (English) Zbl 1246.32020 Bull. Sci. Math. 136, No. 1, 111-126 (2012). Reviewer: Risto Korhonen (Joensuu) MSC: 32H30 32H04 32H25 14J70 PDFBibTeX XMLCite \textit{Tran Van Tan} and \textit{Vu Van Truong}, Bull. Sci. Math. 136, No. 1, 111--126 (2012; Zbl 1246.32020) Full Text: DOI
Dethloff, Gerd; Tran Van Tan; Do Duc Thai An extension of the Cartan-Nochka Second Main Theorem for hypersurfaces. (English) Zbl 1220.32004 Int. J. Math. 22, No. 6, 863-885 (2011). MSC: 32H30 32H04 32H25 14J70 PDFBibTeX XMLCite \textit{G. Dethloff} et al., Int. J. Math. 22, No. 6, 863--885 (2011; Zbl 1220.32004) Full Text: DOI arXiv
Law, H.-F.; Wong, P.-M.; Wong, P. P. W. The concepts of general position and a second main theorem for non-linear divisors. (English) Zbl 1226.32002 Complex Var. Elliptic Equ. 56, No. 1-4, 375-398 (2011). Reviewer: Konstantin Malyutin (Sumy) MSC: 32A22 32H25 32H30 PDFBibTeX XMLCite \textit{H. F. Law} et al., Complex Var. Elliptic Equ. 56, No. 1--4, 375--398 (2011; Zbl 1226.32002) Full Text: DOI
Levin, Aaron Generalizations of Siegel’s and Picard’s theorems. (English) Zbl 1250.11067 Ann. Math. (2) 170, No. 2, 609-655 (2009). Reviewer: Pietro Corvaja (Udine) MSC: 11G35 32H30 11J97 14G25 PDFBibTeX XMLCite \textit{A. Levin}, Ann. Math. (2) 170, No. 2, 609--655 (2009; Zbl 1250.11067) Full Text: DOI arXiv Link
Corvaja, Pietro; Zannier, Umberto Applications of the subspace theorem to certain Diophantine problems. A survey of some recent results. (English) Zbl 1245.11086 Schlickewei, Hans Peter (ed.) et al., Diophantine approximation. Festschrift for Wolfgang Schmidt. Based on lectures given at a conference at the Erwin Schrödinger Institute, Vienna, Austria, 2003. Wien: Springer (ISBN 978-3-211-74279-2/hbk). Developments in Mathematics 16, 161-174 (2008). Reviewer: Günter Lettl (Graz) MSC: 11J87 11G35 PDFBibTeX XMLCite \textit{P. Corvaja} and \textit{U. Zannier}, Dev. Math. 16, 161--174 (2008; Zbl 1245.11086) Full Text: DOI
Yan, Qi Ming; Chen, Zhi Hua Weak Cartan-type second main theorem for holomorphic curves. (English) Zbl 1181.32021 Acta Math. Sin., Engl. Ser. 24, No. 3, 455-462 (2008). Reviewer: Jörg Winkelmann (Bochum) MSC: 32H30 32A22 PDFBibTeX XMLCite \textit{Q. M. Yan} and \textit{Z. H. Chen}, Acta Math. Sin., Engl. Ser. 24, No. 3, 455--462 (2008; Zbl 1181.32021) Full Text: DOI
Ta Thi Hoai An; Wang, Julie Tzu-Yueh An effective Schmidt’s subspace theorem for non-linear forms over function fields. (English) Zbl 1201.14017 J. Number Theory 125, No. 1, 210-228 (2007). Reviewer: Günter Lettl (Graz) MSC: 14G27 11D59 PDFBibTeX XMLCite \textit{Ta Thi Hoai An} and \textit{J. T. Y. Wang}, J. Number Theory 125, No. 1, 210--228 (2007; Zbl 1201.14017) Full Text: DOI
Hu, Pei-Chu; Yang, Chung-Chun Subspace theorems for homogeneous polynomial forms. (English) Zbl 1131.11047 Isr. J. Math. 157, 47-61 (2007). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11J68 PDFBibTeX XMLCite \textit{P.-C. Hu} and \textit{C.-C. Yang}, Isr. J. Math. 157, 47--61 (2007; Zbl 1131.11047) Full Text: DOI
Hu, Peichu; Yang, Chungchun Value distribution theory and Diophantine approximation. (English) Zbl 1111.32019 Anal. Theory Appl. 21, No. 2, 101-117 (2005). Reviewer: Zhuan Ye (DeKalb) MSC: 32H30 32H02 11J97 PDFBibTeX XMLCite \textit{P. Hu} and \textit{C. Yang}, Anal. Theory Appl. 21, No. 2, 101--117 (2005; Zbl 1111.32019) Full Text: DOI