Characteristic cycles and decomposition numbers
نویسندگان
چکیده
منابع مشابه
Calculations with Characteristic Cycles
We discuss and prove a number of results for calculating characteristic cycles, or graded, enriched characteristic cycles. We concentrate particularly on results related to hypersurfaces.
متن کاملCharacteristic Numbers, Genera, and Resolutions
In this paper we survey various constructions and properties of genera and characteristic numbers of singular complex algebraic varieties. In particular, we discuss genera for the singular varieties appearing in the minimal model program, as well as those defined by Hodge theory and functorial characteristic classes.
متن کاملModular Invariance and Characteristic Numbers
We prove that a general miraculous cancellation formula, the divisibility of certain characteristic numbers, and some other topological results related to the generalized Rochlin invariant, the η-invariant and the holonomies of certain determinant line bundles, are consequences of the modular invariance of elliptic operators on loop space. 1. Motivations In [AW], a gravitational anomaly cancell...
متن کاملCurvature, Cones, and Characteristic Numbers
We study Einstein metrics on smooth compact 4-manifolds with an edge-cone singularity of specified cone angle along an embedded 2-manifold. To do so, we first derive modified versions of the GaussBonnet and signature theorems for arbitrary Riemannian 4-manifolds with edge-cone singularities, and then show that these yield non-trivial obstructions in the Einstein case. We then use these integral...
متن کاملDivisibility of characteristic numbers
We use homotopy theory to define certain rational coefficients characteristic numbers with integral values, depending on a given prime number q and positive integer t . We prove the first nontrivial degree formula and use it to show that existence of morphisms between algebraic varieties for which these numbers are not divisible by q give information on the degree of such morphisms or on zero c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2013
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2013.v20.n2.a11