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A Note on the Weighted Yamabe Flow
For two dimensional surfaces (smooth) Ricci and Yamabe flows are equivalent. In 2003, Chow and Luo developed the theory of combinatorial Ricci flow...
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Complements to Ample Divisors and Singularities
The paper reviews recent developments in the study of Alexander invariants of quasi-projective manifolds using methods of singularity theory. Several...
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On Deformations of Toric Fano Varieties
In this note we collect some results on the deformation theory of toric Fano varieties.
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Infeasible and Critically Feasible Optimal Control
We consider optimal control problems involving two constraint sets: one comprised of linear ordinary differential equations with the initial and...
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Fano Shimura Varieties with Mostly Branched Cusps
We prove that the Satake-Baily-Borel compactification of certain Shimura varieties are Fano varieties, Calabi-Yau varieties or have ample canonical...
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A Matrix for Counting Paths in Acyclic Colored Digraphs
In this paper, we generalize a theorem of R. P. Stanley regarding the enumeration of paths in acyclic digraphs.
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The triple-deck stage of marginal separation
The method of matched asymptotic expansions is applied to the investigation of transitional separation bubbles. The problem-specific Reynolds number...
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On a Formation of Singularities of Solutions to Soliton Equations Represented by L, A, B-triples
We discuss the mechanism of formation of singularities of solutions to the Novikov–Veselov, modified Novikov–Veselov, and Davey–Stewartson II (DSII)...
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Counting Phylogenetic Networks with Few Reticulation Vertices: Galled and Reticulation-Visible Networks
We give exact and asymptotic counting results for the number of galled networks and reticulation-visible networks with few reticulation vertices. Our...
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The graded ring database for Fano 3-folds and the Bogomolov stability bound
My paper (Suzuki 2003) produced some computer routines in Magma (Bosma et al. J Symb Comp 24:235–265, 1997) for the numerical invariants of Fano...
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Differential Forms Around a Singularity
In this chapter, we study the singularity by looking at the poles of the pull-back of differential forms around the singularity onto the resolved...
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Terminal Invariance of Stochastic Diffusion Systems
For a controlled stochastic diffusion system, we obtain sufficient conditions for the terminal criterion to be constant with probability one on the...
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Symplectic Resolutions for Multiplicative Quiver Varieties and Character Varieties for Punctured Surfaces
We study the algebraic symplectic geometry of multiplicative quiver varieties, which are moduli spaces of representations of certain quiver algebras,...