Kodaira's canonical bundle formula and adjunction
Kodaira's canonical bundle formula and adjunction
复制标题
小平的规范丛公式和附加物
DOI：
10.1093/acprof:oso/9780198570615.003.0008
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发表时间：
2007
影响因子：
1.3
通讯作者：
J. Kollár
中科院分区：
文献类型：
--
作者：
J. Kollár
如果（X，B）是对数典型对，则研究该对不是klt的点的轨迹nklt（X，B）是自然的。特别地，本章证明了Kawamata的附加公式：如果W是nklt（X，B）的不可约子簇，则K+ B对W的限制自然地表示为W的标准类。本文同时推广了经典的附加公式、光滑爆破的标准类公式和相对极小椭圆曲面的标准类的科代拉公式。这些思想在高维代数几何中有许多应用。
If (X, B) is a log canonical pair, it is natural to study the locus nklt (X, B) of points where the pair is not klt. In particular, this chapter proves Kawamata's adjunction formula: if W is an irreducible subvariety of nklt (X, B), then the restriction of K+ B to W is expressed naturally in terms of the canonical class of W. This topic provides a simultaneous generalization of the classical adjunction formula, the formula for the canonical class of a smooth blow up, and Kodaira's formula for the canonical class of a relatively minimal elliptic surface. The ideas have many applications in higher dimensional algebraic geometry.