Cycles representing the Todd class of a toric variety
نویسندگان
چکیده
منابع مشابه
Products of Cycles and the Todd Class of a Toric Variety
The purpose of this paper is to show that the Todd class of a simplicial toric variety has a canonical expression in terms of products of torus-invariant divisors. The coefficients in this expression, which are generalizations of the classical Dedekind sum, are shown to satisfy a reciprocity relation which characterizes them uniquely. We achieve these results by giving an explicit formula for t...
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(1) Y 7→ {line bundle quotients of O Y } . This is easy to prove since a surjection O Y → L gives n + 1 sections of L which don’t vanish simultaneously and hence determine a map Y → Pnk . The goal of this paper is to generalize this representation to the case of an arbitrary smooth toric variety. We will work with schemes over an algebraically closed field k of characteristic zero, and we will ...
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 2004
ISSN: 0894-0347,1088-6834
DOI: 10.1090/s0894-0347-04-00460-6