scholarly journals The Viro Method for Construction of Piecewise Algebraic Hypersurfaces

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Yisheng Lai ◽  
Weiping Du ◽  
Renhong Wang
Keyword(s):  
New Method ◽  
Algebraic Hypersurface ◽  
And Topology ◽  
Algebraic Hypersurfaces ◽  
Viro Method

We propose a new method to construct a real piecewise algebraic hypersurface of a given degree with a prescribed smoothness and topology. The method is based on the smooth blending theory and the Viro method for construction of Bernstein-Bézier algebraic hypersurface piece on a simplex.

The Viro method for construction of Bernstein-Bézier algebraic hypersurface piece

2012 ◽  
Vol 55 (6) ◽  
pp. 1269-1279 ◽  
Author(s):  
YiSheng Lai ◽  
WeiPing Du ◽  
RenHong Wang
Keyword(s):  
Algebraic Hypersurface ◽  
Viro Method

scholarly journals Euler characteristic of primitiveT-hypersurfaces and maximal surfaces

2009 ◽  
Vol 9 (1) ◽  
pp. 1-27 ◽  
Author(s):  
Benoit Bertrand
Keyword(s):  
Euler Characteristic ◽  
Tropical Geometry ◽  
Toric Varieties ◽  
Three Dimensional ◽  
Maximal Surfaces ◽  
The Real ◽  
Complex Part ◽  
Algebraic Hypersurfaces ◽  
Viro Method

AbstractViro method plays an important role in the study of topology of real algebraic hypersurfaces. TheT-primitive hypersurfaces we study here appear as the result of Viro's combinatorial patchworking when one starts with a primitive triangulation. We show that the Euler characteristic of the real part of such a hypersurface of even dimension is equal to the signature of its complex part. We explain how this can be understood in tropical geometry. We use this result to prove the existence of maximal surfaces in some three-dimensional toric varieties, namely those corresponding to Nakajima polytopes.

LINK MANIFOLDS AND GLOBAL GRAVITATIONAL ANOMALIES

1993 ◽  
Vol 05 (02) ◽  
pp. 331-343 ◽  
Author(s):  
RANDY A. BAADHIO ◽  
LOUIS H. KAUFFMAN
Keyword(s):  
New Method ◽  
And Topology ◽  
Knots And Links ◽  
Gravitational Anomalies

A new method of constructing exotic 11-dimensional structures, as solutions for the cancellation of global gravitational anomalies, is revealed. The construction makes use of link manifolds. Of relevant interest is the fact that the geometry and topology of the exotic 11-dimensional manifolds are encoded in the classical invariants of knots and links in dimension three.

Selective Sampling and Orientation of Non-Homogeneous Tissues

1968 ◽  
Vol 26 ◽  
pp. 98-99
Author(s):  
C. C. Clawson ◽  
L. W. Anderson ◽  
R. A. Good
Keyword(s):  
Electron Microscopy ◽  
Electron Microscope ◽  
Light Microscopy ◽  
Random Sampling ◽  
New Method ◽  
Microscope Examination ◽  
Small Areas ◽  
Selective Sampling ◽  
Large Numbers ◽  
Specific Orientation

Investigations which require electron microscope examination of a few specific areas of non-homogeneous tissues make random sampling of small blocks an inefficient and unrewarding procedure. Therefore, several investigators have devised methods which allow obtaining sample blocks for electron microscopy from region of tissue previously identified by light microscopy of present here techniques which make possible: 1) sampling tissue for electron microscopy from selected areas previously identified by light microscopy of relatively large pieces of tissue; 2) dehydration and embedding large numbers of individually identified blocks while keeping each one separate; 3) a new method of maintaining specific orientation of blocks during embedding; 4) special light microscopic staining or fluorescent procedures and electron microscopy on immediately adjacent small areas of tissue.

A new method for the determination of nitrates

1960 ◽  
Vol 23 ◽  
pp. 227-232 ◽  
Author(s):  
P WEST ◽  
G LYLES
Keyword(s):  
New Method
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