Birationally Rigid Fano Threefold Hypersurfaces

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The authors prove that every quasi-smooth weighted Fano threefold hypersurface in the 95 families of Fletcher and Reid is birationally rigid.

Birationally Rigid Varieties

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Birational rigidity is a striking and mysterious phenomenon in higher-dimensional algebraic geometry. It turns out that certain natural families of algebraic va

Entire Solutions for Bistable Lattice Differential Equations with Obstacles

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The authors consider scalar lattice differential equations posed on square lattices in two space dimensions. Under certain natural conditions they show that wav

Sobolev, Besov and Triebel-Lizorkin Spaces on Quantum Tori

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This paper gives a systematic study of Sobolev, Besov and Triebel-Lizorkin spaces on a noncommutative -torus (with a skew symmetric real -matrix). These spaces

Maximal Cohen-Macaulay Modules Over Non-Isolated Surface Singularities and Matrix Problems

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In this article the authors develop a new method to deal with maximal Cohen–Macaulay modules over non–isolated surface singularities. In particular, they gi