Displaying similar documents to “On the Statistical Mechanics of Surfaces”

Mazes on surfaces

Izidor Hafner, Tomislav Zitko (2003)

Visual Mathematics

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Two remarks about surfaces

Wilczyński, Władysław, Rzepecka, Genowefa (2015-11-26T16:01:41Z)

Acta Universitatis Lodziensis. Folia Mathematica

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Space-like Weingarten surfaces in the three-dimensional Minkowski space and their natural partial differential equations

Georgi Ganchev, Vesselka Mihova (2013)

Open Mathematics

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On any space-like Weingarten surface in the three-dimensional Minkowski space we introduce locally natural principal parameters and prove that such a surface is determined uniquely up to motion by a special invariant function, which satisfies a natural non-linear partial differential equation. This result can be interpreted as a solution to the Lund-Regge reduction problem for space-like Weingarten surfaces in Minkowski space. We apply this theory to linear fractional space-like Weingarten...

From non-Kählerian surfaces to Cremona group of P 2 (C)

Georges Dloussky (2014)

Complex Manifolds

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For any minimal compact complex surface S with n = b2(S) > 0 containing global spherical shells (GSS) we study the effectiveness of the 2n parameters given by the n blown up points. There exists a family of surfaces S → B with GSS which contains as fibers S, some Inoue-Hirzebruch surface and non minimal surfaces, such that blown up points are generically effective parameters. These families are versal outside a non empty hypersurface T ⊂ B. We deduce that, for any configuration of...

A simpler proof of toroidalization of morphisms from 3-folds to surfaces

Steven Dale Cutkosky (2013)

Annales de l’institut Fourier

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We give a simpler and more conceptual proof of toroidalization of morphisms of 3-folds to surfaces, over an algebraically closed field of characteristic zero. A toroidalization is obtained by performing sequences of blow ups of nonsingular subvarieties above the domain and range, to make a morphism toroidal. The original proof of toroidalization of morphisms of 3-folds to surfaces is much more complicated.