Togliatti Surface

Eugenio Giuseppe Togliatti 1890 1977 Italian mathematician Togliatti surface an algebraic surface discovered by him Palmiro Togliatti 3 November 1890 5 October 1977 was an Italian mathematician brother of politician Palmiro Togliatti He discovered Togliatti surfaces lower bound given by this surface Barth surface Sarti surface Togliatti surface Endrass. In the above picture Abdelaziz Nait Merzouk has drawn the real points of a Togliatti surface.

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Ltp In algebraic geometry a Togliatti surface is a surface of degree five with 31 nodes.

Togliatti surface. In 1946 Eugenio Togliatti classified the rational surfaces of mathbb PN Nge 5 parameterized by cubics and representing a Laplace equation of order 2 ie whose osculating spaces have all dimension strictly less than the expected 5. Archived September 24 2012. Finden Sie perfekte Stock-Fotos zum Thema Togliatti Surface sowie redaktionelle Newsbilder von Getty Images.

Beauville 1980 proved that 31 is the maximum possible number of nodes for a surface of this degree showing this example to be optimal. In 1930 he became a citizen of the Soviet Union and later he had a city in that country named after him. Togliatti surface Wolfram at Wolfram MathWorld.

World Heritage Encyclopedia the aggregation of the largest online encyclopedias available and the most definitive collection ever assembled. In algebraic geometry a Togliatti surface is a nodal surface of degree five with 31 nodes. Togliatti absolvierte ein Studium der Rechtswissenschaft in TurinEr begann sein politisches Leben in der sozialistischen Partei Italiens Partito Socialista Italiano vor dem Ersten WeltkriegNach dem Krieg an dem er als Offizier teilnahm wurde er 1920 Parteisekretär in Turin und gehörte der Gruppe um LOrdine Nuovo in Turin an.

Concise Encyclopedia of Mathematics. ReadMoreArticletitle object in algebraic geometry. Palmiro Michele Nicola Togliatti was an Italian politician and leader of the Italian Communist Party from 1927 until his death.

The first examples were constructed by Eugenio G. Endraß Stephan Togliatti surfaces 2003. Wählen Sie aus erstklassigen Inhalten zum Thema Togliatti Surface in höchster Qualität.

Date of treatment June 22 2014. Togliatti Surface - See Also. Togliatti surface w1 bounded by the cube T o g 64 x w x 4 4 x 3 w 10 x 2 y 2 4 x 2 w 2 16 x w 3 20 x y 2 w 5 y 4 16 w 4 20 y 2 w 2 displaystyle Tog64x-wx4-4x3w-10x2y2-4x2w216xw3-20xy2w5y416w4-20y2w2 5 5 5 2 z 5 5 w 4 x 2 y 2 z 2 1 3 5 w 2 2 displaystyle -5sqrt 5-sqrt 52z-sqrt 5-sqrt.

In 1940 Togliatti proved that for degree 5 su. Arnaud Beauville proved that 31 is the maximum possible number of nodes for a surface of this degree showing this example to be optimal. WikiZero Özgür Ansiklopedi - Wikipedia Okumanın En Kolay Yolu.

In algebraic geometry a Togliatti surface is a nodal surface of degree five with 31 nodes. In algebraic geometry a Togliatti surface is a surface of degree five with 31 nodes. File3D model of Togliatti surface w1stl.

1We shall use the notation x xyz. We identify unexpected plane curves of degree 4. In algebraic geometry a Togliatti surface is a nodal surface of degree five with 31 nodesThe first examples were constructed by Eugenio G.

The Clebsch2 surface contains exactly 27 straight lines. Each triplet results from intersecting the Clebsch surface with one of 9 special planes. Read more about Togliatti Surface.

2Rudolf Friedrich Alfred Clebsch 18331872 1. The purpose of this note is to establish a direct link between the theory of unexpected hypersurfaces and varieties with defective osculating behavior. Arnaud Beauville proved that 31 is the maximum possible number of nodes for a surface of this degree showing this example to be optimal.

Date of treatment June 8 2012. The first examples were constructed by Eugenio G. The first examples were constructed by Eugenio G.

The first examples were constructed by Eugenio G. This surface is described by a homogeneous quintic equation in four variables say wxyz which is then intersected with the hyperplane w 1. In algebraic geometry a Togliatti surface is a nodal surface of degree five with 31 nodes.

He was nicknamed Il Migliore by his supporters. Barth surface Endrass surface Sarti surface List of algebraic surfaces. Darganfyddwr neu ddyfeisiwr.

Togliatti surface and Sarti surface See more Singular point of an algebraic variety In the mathematical field of algebraic geometry a singular point of an algebraic variety V is a point P that is special so singular in the geometric sense that at this point the tangent space at the variety may not be regularly defined. Togliatti may refer to. Togliatti was a founding member of the Communist Party of Italy and from 1927 until his death he was the Secretary and the.

Togliatti surface Connected to. Other articles related to togliatti surface surface surfaces. The Clebsch diagonal surface is a smooth cubic surface admitting the symmetry of the tetrahedron.

Here is a version rotated. A Togliatti surface is a quintic nodal surface with the largest possible number of ordinary double points namely 31. They fall into 9 triplets.

Wedi dod o httpscy. A classical question in algebraic geometry is how many cone-singularities a surface of a given degree can have. Togliatti Arnaud Beauville proved that 31 is the maximum possible number of nodes for a surface of this degree showing this example to be optimalSee also.

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