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Smooth surfaces have finitely generated canonical rings and projective canonical models. For normal surfaces, however, the graded ring of multicanonical sections is possibly nonnoetherian, such that the corresponding homogeneous spectrum is noncompact. I construct a canonical compactification by...
We investigate various features of a quite new family of graphs, introduced as a possible example of vertex-transitive graph not roughly isometric with a Cayley graph of some finitely generated group. We exhibit a natural compactification and study a large class of random walks, proving theorems...
It is proved under certain assumptions that spinor Euler products for Siegel eigen cusp forms with characters with respect to the groups Γ2
0(q) have holomorphic analytical continuation over the whole complex plane and satisfy a functional equation with two gamma-factors.
We prove several criteria for quasi-isometry between non-locally-finite graphs and their structure trees. Results ofMöller in  for locally finite and transitive graphs are generalized. We also give a criterion in terms of correspondence between the ends of the graph and the ends of the...
Let(M, g, J) be an almost Hermitian manifold. In this paper we study holomorphically nonnegatively(δ,Δ)-pinched almost Hermitian manifolds. In  it was shown that for such Kahler manifolds a plane with maximal sectional curvature has to be a holomorphic plane(J-invariant). Here we generalize...
We characterize finite-dimensional Lie algebras over the real numbers for which the classical Yang-Baxter equation has a non-trivial skew-symmetric solution (resp. a non-trivial solution with invariant symmetric part). Equivalently, we obtain a characterization of those finite-dimensional real...
We give an explicit form of a “good” Euler factor of a certain Dirichlet series attached to the Siegel-Eisenstein series.
LetK be an imaginary abelian number field. By means of a generalization of Maillet and Demyanenko determinants we give a relative class number formula for an intermediate field of the cyclotomic ℤp-extension ofK. The degree of the generalized determinant is a half of the degree ofK over ℚ.
We prove the existence of complete (q
2 -q + 1)-arcs in each Hall plane of orderq
2 > 9.
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