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Let E : 0 ! S ! E ! Q ! 0 be a short exact sequence of
hermitian vector bundles with metrics on S and Q induced from that
on E. We compute the Bott-Chern form áe(E ) corresponding to any
characteri...
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...
Schubert Calculus on the Arithmetic Grassmannian
Arithmetic Grassmannian Schubert Calculus
2015/12/17
Let G be the arithmetic Grassmannian over SpecZ with the natural invariant KÄahler metric on G(C). We study the combinatorics of
the arithmetic Schubert calculus in the Arakelov Chow ring CH(G)
Deligne and Rapoport developed the theory of generalized elliptic curves over
arbitrary schemes and they proved that various moduli stacks for (ample) “level-N” structures on generalized
elliptic cu...
A Simple Proof of the Geometric-Arithmetic Mean Inequality
Arithmetic mean Geometric mean Inequality
2010/1/25
In this short note, we give another proof of the Geometric-Arithmetic Mean inequality.
Mixed Arithmetic and Geometric Means and Related Inequalities
Inequalities Arithmetic means Geometric means
2010/1/22
Mixed arithmetic and geometric means, with and without weights, are both considered. Related to mixed arithmetic and geometric means, the following three types of inequalities and their generalization...