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Let F be the complete °ag variety over SpecZ with the tautological
ˉltration 0 ½ E1 ½ E2 ½ ￠ ￠ ￠ ½ En = E of the trivial bundle E of rank
n over F. The trivial hermitian metric o...
Intersection theory on Shimura surfaces II
Intersection theory Shimura surfaces II Number Theory
2012/3/1
This is the third of a series of papers relating intersections of special cycles on the integral model of a Shimura surface to Fourier coefficients of Hilbert modular forms. More precisely, we embed t...
Intersection theory on Shimura surfaces
Intersection theory Shimura surfaces intersection multiplicities
2012/3/1
Kudla has proposed a general program to relate arithmetic intersection multiplicities of special cycles on Shimura varieties to Fourier coefficients of Eisenstein series. The lowest dimensional case, ...
Nonproper intersection theory and positive currents I, local aspects
Nonproper intersection theory positive currents I, local aspects
2010/12/6
We introduce a current calculus to deal with (local) non-proper intersection theory, especially construction of local cycles of St¨uckrad-Vogel type (Vogel cycles). Given a coherent ideal sheaf J , ge...
Intersection Theory for Generic Differential Polynomials and Differential Chow Form
Generic Differential Polynomials Differential Chow Form
2010/11/26
In this paper, an intersection theory for generic differential polynomials is presented. The intersection of an irreducible differential variety of dimension d and order h with a generic differential ...
INTERSECTION THEORY FOR GENERIC DIFFERENTIAL POLYNOMIALS AND DIFFERENTIAL CHOW FORM
Differential Chow form differential Chow variety differential resultant dimension conjecture intersection theory generic differential polynomials
2013/9/9
In this paper, an intersection theory for generic differential polynomials is presented. The intersection of an irreducible differential variety of dimension d and order h with a generic differential ...