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The three-state toric homogeneous Markov chain model has Markov degree two
three-state toric Markov chain model Markov degree two Statistics Theory
2012/7/9
We prove that the three-state toric homogenous Markov chain model has Markov degree two. In algebraic terminology, that a certain class of toric ideals are generated by quadratic binomials. This was c...
Stability of tautological bundles on the degree two Hilbert scheme of surfaces
moduli spaces irreducible holomorphic symplectic manifolds K3 surfaces
2012/3/1
Let (X,H) be a polarized smooth projective surface satisfying H^1(X,O_X)=0 and let F be either a rank one torsion-free sheaf or a rank two {\mu}H-stable vector bundle on X. Assume that c_1(F)/=0. In t...
Numerical Computation of a Certain Dirichlet Series Attached to Siegel Modular Forms of Degree Two
Dirichlet Series Attached Siegel Modular Forms Degree Two
2010/12/8
The Rankin convolution type Dirichlet series DF,G(s) of Siegel modular forms F and G of degree two, which was introduced by Kohnen and the second author, is computed numerically for various F and G.