Local Invariants on Quotient Singularities and a Genus Formula for Weighted Plane Curves
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Published in: | International mathematics research notices Vol. 2014; no. 13; pp. 3559 - 3581 |
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Format: | Journal Article |
Language: | English |
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01-01-2014
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Author | Ortigas-Galindo, Jorge Cogolludo-Agustín, José Ignacio Martín-Morales, Jorge |
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Author_xml | – sequence: 1 givenname: José Ignacio surname: Cogolludo-Agustín fullname: Cogolludo-Agustín, José Ignacio – sequence: 2 givenname: Jorge surname: Martín-Morales fullname: Martín-Morales, Jorge – sequence: 3 givenname: Jorge surname: Ortigas-Galindo fullname: Ortigas-Galindo, Jorge |
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CitedBy_id | crossref_primary_10_1007_s13163_018_0280_7 crossref_primary_10_1016_j_aim_2020_107192 crossref_primary_10_1016_j_crma_2013_11_006 crossref_primary_10_1007_s10231_015_0546_3 crossref_primary_10_1002_mana_202300019 crossref_primary_10_1215_21562261_3600184 |
Cites_doi | 10.1007/978-1-4612-1700-8 10.1007/978-94-010-1289-8_15 10.1112/jlms/s1-30.3.376 10.1090/S0002-9947-01-02846-X 10.1017/CBO9780511569326 10.1007/s11856-014-1078-z 10.1215/S0012-7094-67-03441-2 10.1007/s00574-005-0039-x 10.1007/978-94-010-1289-8_11 10.2307/1970772 10.1007/978-3-0348-5097-1 10.1007/BFb0101508 |
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References | Prill ( key 20170721093604_RNT052C17) 1967; 34 Martín-Morales ( key 20170721093604_RNT052C12) Ortigas-Galindo ( key 20170721093604_RNT052C16) Brasselet ( key 20170721093604_RNT052C4) 2002; 354 Northcott ( key 20170721093604_RNT052C14) 1955; 30 Seade ( key 20170721093604_RNT052C18) 2005; 36 Steenbrink ( key 20170721093604_RNT052C20) 1977 Casas-Alvero ( key 20170721093604_RNT052C6) 2000 Huneke ( key 20170721093604_RNT052C9) 2006 Dolgachev ( key 20170721093604_RNT052C7) 1982 Artal ( key 20170721093604_RNT052C3) 2011 Kermes ( key 20170721093604_RNT052C10) 2007 Artal ( key 20170721093604_RNT052C2) 2011 Fulton ( key 20170721093604_RNT052C8) 1998 Dung Tráng ( key 20170721093604_RNT052C11) 1977 Serre ( key 20170721093604_RNT052C19) 1959 Brieskorn ( key 20170721093604_RNT052C5) 1986 Milnor ( key 20170721093604_RNT052C13) 1968 Artal ( key 20170721093604_RNT052C1) 2010; 2010 Orlik ( key 20170721093604_RNT052C15) 1971; 93 |
References_xml | – volume-title: Intersection Theory year: 1998 ident: key 20170721093604_RNT052C8 doi: 10.1007/978-1-4612-1700-8 contributor: fullname: Fulton – year: 2011 ident: key 20170721093604_RNT052C3 article-title: Cartier and Weil divisors on varieties with quotient singularities contributor: fullname: Artal – start-page: 525 volume-title: In Real and Complex Singularities (Proceeding of Ninth Nordic Summer School/NAVF Symposium in Mathematics, Oslo, 1976) year: 1977 ident: key 20170721093604_RNT052C20 article-title: Mixed Hodge Structure on the Vanishing Cohomology doi: 10.1007/978-94-010-1289-8_15 contributor: fullname: Steenbrink – volume: 30 start-page: 376 year: 1955 ident: key 20170721093604_RNT052C14 article-title: A note on the genus formula for plane curves publication-title: Journal of the London Mathematical Society doi: 10.1112/jlms/s1-30.3.376 contributor: fullname: Northcott – volume: 354 start-page: 1351 issue: 4 year: 2002 ident: key 20170721093604_RNT052C4 article-title: Milnor classes of local complete intersections publication-title: Transactions of the American Mathematical Society doi: 10.1090/S0002-9947-01-02846-X contributor: fullname: Brasselet – volume-title: Singularities of Plane Curves year: 2000 ident: key 20170721093604_RNT052C6 doi: 10.1017/CBO9780511569326 contributor: fullname: Casas-Alvero – ident: key 20170721093604_RNT052C12 article-title: Embedded Q-Resolutions and Yomdin–Lê Surface Singularities doi: 10.1007/s11856-014-1078-z contributor: fullname: Martín-Morales – year: 2011 ident: key 20170721093604_RNT052C2 article-title: Intersection theory on abelian-quotient V-surfaces and Q-resolutions contributor: fullname: Artal – volume: 34 start-page: 375 year: 1967 ident: key 20170721093604_RNT052C17 article-title: Local classification of quotients of complex manifolds by discontinuous groups publication-title: Duke Mathematical Journal doi: 10.1215/S0012-7094-67-03441-2 contributor: fullname: Prill – volume: 36 start-page: 275 issue: 2 year: 2005 ident: key 20170721093604_RNT052C18 article-title: Milnor numbers and Euler obstruction publication-title: Bulletin of the Brazilian Mathematical Society. New Series doi: 10.1007/s00574-005-0039-x contributor: fullname: Seade – start-page: 130 year: 2007 ident: key 20170721093604_RNT052C10 article-title: Fermat curves on weighted projective planes contributor: fullname: Kermes – volume-title: Groupes algébriques et corps de classes year: 1959 ident: key 20170721093604_RNT052C19 contributor: fullname: Serre – start-page: 397 volume-title: Real and Complex Singularities (Proceeding of Ninth Nordic Summer School/NAVF Symposium in Mathematics, Oslo, 1976) year: 1977 ident: key 20170721093604_RNT052C11 article-title: Some Remarks on Relative Monodromy doi: 10.1007/978-94-010-1289-8_11 contributor: fullname: Dung Tráng – volume: 93 start-page: 205 year: 1971 ident: key 20170721093604_RNT052C15 article-title: Isolated singularities of algebraic surfaces with C* action publication-title: Annals of Mathematics. Second Series doi: 10.2307/1970772 contributor: fullname: Orlik – volume-title: Singular Points of Complex Hypersurfaces year: 1968 ident: key 20170721093604_RNT052C13 contributor: fullname: Milnor – volume-title: Plane Algebraic Curves year: 1986 ident: key 20170721093604_RNT052C5 doi: 10.1007/978-3-0348-5097-1 contributor: fullname: Brieskorn – volume-title: Integral Closure of Ideals, Rings, and Modules year: 2006 ident: key 20170721093604_RNT052C9 contributor: fullname: Huneke – ident: key 20170721093604_RNT052C16 article-title: Algebraic and topological invariants of curves and surfaces with quotient singularities contributor: fullname: Ortigas-Galindo – volume: 2010 start-page: 4301 issue: 22 year: 2010 ident: key 20170721093604_RNT052C1 article-title: Milnor number of weighted-Lê–Yomdin singularities publication-title: International Mathematics Research Notices contributor: fullname: Artal – start-page: 34 volume-title: Group Actions and Vector Fields (Vancouver, BC, 1981) year: 1982 ident: key 20170721093604_RNT052C7 article-title: Weighted Projective Varieties doi: 10.1007/BFb0101508 contributor: fullname: Dolgachev |
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Title | Local Invariants on Quotient Singularities and a Genus Formula for Weighted Plane Curves |
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