“代数几何” ( 14-XX )2020 年 6 月份最新论文题录(70条) 诸平 数学主题分类 2020版”( MSC2020 )对其2010版( MSC2010 )的 14-XX 代数几何( 14-XX Algebraic geometry )类进行了多项调整。特别是 MSC2010 中的 14F05 和 14T05 。 2010版的14F05是丛和丛的派生类及相关结构(Sheaves, derived categories of sheaves and related constructions ),在2020版分类中调整为 14F06 14F08 14A30 。还有 14T05 热带几何(Tropical geometry )调整为 14T10 14T25 14T20 14T15 14T90 。为了便于理解,将14-XX的2010版和2020版相关内容摘引于下,同时附上2020年6月份MathSciNet数据库收录的最新与14-XX相关的论文题录(70条), 仅供参考。 14F05 Sheaves, derived categories of sheaves and related constructions 14T05 Tropical geometry 2020版( MSC2020 )14-XX分类 14-XX Algebraic geometry 14-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to algebraic geometry 14-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry 14-02 Research exposition (monographs, survey articles) pertaining to algebraic geometry 14-03 History of algebraic geometry 14-04 Software, source code, etc. for problems pertaining to algebraic geometry 14-06 Proceedings, conferences, collections, etc. pertaining to algebraic geometry 14-11 Research data for problems pertaining to algebraic geometry 14Axx Foundations of algebraic geometry 14Bxx Local theory in algebraic geometry 14Cxx Cycles and subschemes 14Dxx Families, fibrations in algebraic geometry 14Exx Birational geometry 14Fxx (Co)homology theory in algebraic geometry 14Gxx Arithmetic problems in algebraic geometry; Diophantine geometry 14Hxx Curves in algebraic geometry 14Jxx Surfaces and higher-dimensional varieties {For analytic theory, see 32Jxx } 14Kxx Abelian varieties and schemes 14Lxx Algebraic groups {For linear algebraic groups, see 20Gxx ; for Lie algebras, see 17B45 } 14Mxx Special varieties 14Nxx Projective and enumerative algebraic geometry 14Pxx Real algebraic and real-analytic geometry 14Qxx Computational aspects in algebraic geometry {For software etc., see 14-04 } 14Rxx Affine geometry 14Txx Tropical geometry MR4078261 Kaveh, Kiumars ; Khovanskii, Askold G. 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Math. 366 (2020), 107027, 131 pp. MR4072638 Vakil, Ravi ; Wood, Melanie Matchett Errata to Discriminants in the Grothendieck ring''. Duke Math. J. 169 (2020), no. 4, 799–800. MR4072636 Buchweitz, Ragnar-Olaf ; Faber, Eleonore ; Ingalls, Colin A McKay correspondence for reflection groups. Duke Math. J. 169 (2020), no. 4, 599–669. MR4071350 Wei, Chuanhao Logarithmic comparison with smooth boundary divisor in mixed Hodge modules. Michigan Math. J. 69 (2020), no. 1, 201–223. MR4071348 Fan, Honglu ; Lee, Yuan-Pin On Gromov-Witten theory of projective bundles. Michigan Math. J. 69 (2020), no. 1, 153–178. MR4071344 Jespers, Michiel ; de Jong, Robin Chern-Weil theory for line bundles with the family Arakelov metric. Michigan Math. J. 69 (2020), no. 1, 3–40. MR4071236 Mozgovoy, Sergey ; Schiffmann, Olivier Counting Higgs bundles and type A quiver bundles. Compos. Math. 156 (2020), no. 4, 744–769. MR4070312 Giansiracusa, Noah ; Manaker, Jacob Matroidal representations of groups. Adv. 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题目:代数几何简介 主讲:涂心悦 时间:2018年1月14日 星期日下午14:15 地点:天津大学北洋园校区32教学楼302室 主要内容: Gauss's quadratic reciprocity can be viewed as an origin of Abelian class field theory. On the orther hand ,Gauss's integral formula of Linking number was studied by E.Witten in connection with Physics. However,the seemingly disjoint fields can be joint together. I will introduce the basic idea of linking number ,topology of torus, and explain basic analogies between knots and primes,3-manifolds and number rings,which is fundamental.