Hirzebruch-Milnor classes of complete intersections

详细信息    查看全文

• 作者：Laurentiu Maxim^a ; ^{maxim@math.wisc.edu} ; Morihiko Saito^b ; ^{msaito@kurims.kyoto-u.ac.jp} ; Jö ; rg Schü ; rmann^c ; ^{jschuerm@uni-muenster.de}
• 关键词：32S20 ; 14B05 ; 14J17 ; 32S25 ; 32S35 ; 32S40 ; 14C17 ; 14C30 ; 14M10 ; 32S30 ; 32S55 ; 58K10
• 刊名：Advances in Mathematics
• 出版年：2013
• 出版时间：10 July, 2013
• 年：2013
• 卷：241
• 期：Complete
• 页码：220-245
• 全文大小：281 K

文摘

We prove a new formula for the Hirzebruch-Milnor classes of global complete intersections with arbitrary singularities describing the difference between the Hirzebruch classes and the virtual ones. This generalizes a formula for the Chern-Milnor classes in the hypersurface case that was conjectured by S.?Yokura and was proved by A.?Parusi¨½ski and P.?Pragacz. It also generalizes a formula of J.?Seade and T.?Suwa for the Chern-Milnor classes of complete intersections with isolated singularities.