Chern classes of logarithmic derivations for free divisors with Jacobian ideal of linear type
2018 年 70 巻 3 号 p. 975-988
詳細
2018 年 70 巻 3 号 p. 975-988
Let 𝑋 be a nonsingular variety defined over an algebraically closed field of characteristic 0, and 𝐷 be a free divisor with Jacobian ideal of linear type. We compute the Chern class of the sheaf of logarithmic derivations along 𝐷 and compare it with the Chern–Schwartz–MacPherson class of the hypersurface complement. Our result establishes a conjecture by Aluffi raised in [Alu12b].
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Nippon Sugaku-Buturigakkwai Kizi Dai 3 Ki
Tokyo Sugaku-Buturigakkwai Kizi Dai 2 Ki
Tokyo Sugaku-Butsurigakukwai Kiji-Gaiyo
Tokyo Sugaku-Butsurigakkwai Hokoku
