Kummer's Quartic Surface... ebook online

Kummer's Quartic Surface... Ronald William Henry Turnbull Hudson

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Author: Ronald William Henry Turnbull Hudson
Published Date: 02 Nov 2011
Publisher: Nabu Press
Language: English
Format: Paperback::244 pages
ISBN10: 1270932888
Filename: kummer's-quartic-surface....pdf
Dimension: 189x 246x 13mm::440g
Download Link: Kummer's Quartic Surface...
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Kummer's Quartic Surface... ebook online. In algebraic geometry, Kummer's quartic surface is an irreducible algebraic surface over a field K of characteristic different then 2, which is a hypersurface of degree 4 in with 16 singularities; the maximal possible number of singularities of a quartic surface. The arithmetic of characteristic 2 Kummer surfaces Pierrick Gaudry1 and David Lubicz2,3 1 LORIA, Campus Scientiﬁque, BP 239, F-54506 Vandoeuvre-l`es-Nancy 2 CELAR, BP 7419, F-35174 Bruz 3 IRMAR, Universt e de Rennes 1, Campus de Beaulieu, F-35042 Rennes Page [unnumbered] KUMMER'S QUARTIC SURFACE R. W. H. T. HUDSON, M.A., D.Sc. Late Fellow of St John's College, Cambridge, and Lecturer in Mathematics at the University of Liverpool. CAMBRIDGE: at the University Press I905 Page [unnumbered] (Tambribgr: PRINTED JOHN CLAY, M.A. AT 5HE UNIVERSITY PRESS. Page An algebraic surface of the fourth order and class, reciprocal to itself, having 16 double points, of which 16 groups (each containing 6 points) are situated in one double tangent to the surface (i.e. A plane which is tangent to the surface along a conic section). The equation of degree 16 defining know how to recognize Kummer surfaces Km(A). The exceptional curves in Aeproject down to ( 2)-curves in Km(A), so any Kummer surface has these 16 distinguished nodal classes (the terminology arises from Kummer surfaces arising as elliptic brations). In fact, these classes essentially characterize Kummer surfaces amongst K3 surfaces: Kummer's Quartic Surface. R. W. H. Hudson, Ronald William Henry Turnbull Hudson. Cambridge University Press, Oct 11, 1990 - Mathematics - 222 pages. 0 Reviews. The theory of surfaces has reached a certain stage of completeness and major efforts concentrate on solving concrete questions rather than further developing the formal theory. It is easily seen that this is the necessary condition in order that any quadric through seven of Baker, loc. Cit., also Hudson, Kummer's Quartic Surface. Surface. Ernst Eduard Kummer (29 January 1810 14 May 1893) was a German mathematician. Skilled in applied mathematics, Kummer trained German army officers in ballistics; afterwards, he taught for 10 years in a gymnasium, the German equivalent of high school, where he inspired the mathematical career of Leopold Kronecker. AN APPLICATION OF SEVERI'S THEORY OF A BASIS TO THE KUMMER AND WEDDLE SURFACES* F. R. SHARPE and C. F. CRAIG In a series of papers F. Severif has developed a theory means of which any linear system of algebraic curves on an algebraic surface can be expressed Ernst Eduard Kummer (Sorau, 29 januari 1810 Berlijn, 14 mei 1893) was een Duitse wiskundige. Persoonlijk leven. Kummer werd geboren in de Mark Brandenburg. Zeer bedreven als hij was in de toegepaste wiskunde R. W. H. T. Hudson, Kummer's Quartic Surface Kummer's Quartic Surface | R. W. H. T. Hudson | ISBN: 9781603860277 | Kostenloser Versand f�r alle B�cher mit Versand und Verkauf duch Amazon. Ernst Eduard Kummer (29 de enero de 1810 en Sorau, Brandeburgo, Prusia - 14 de mayo de 1893 en Berl�n, Alemania) fue un matem�tico alem�n. Altamente capacitado para la matem�tica aplicada, Kummer entren� en bal�stica a oficiales de la armada alemana; tras esto, ense�� durante 10 a�os en un Gymnasium (el equivalente alem�n a Kummer surfaces 67 of a non-standard real Kummer surface always consists of only four points (see Proposition 2.1). Of course, these real points lie in the set of singular points of X. Having proved this, we completely solve the ﬁrst problem for real Kummer surfaces. Kummer's quartic surface Hudson, R. W. H. T. (Ronald William Henry Turnbull), 1875-1904. Publication date 1905 Topics Line geometry, Functions, Theta, Quartic surfaces Publisher Cambridge [Eng.] University Press Collection cdl; americana Digitizing sponsor University of California Libraries Contributor The picture shows 1936 photograph Man Ray of a Kummer surface plaster model in the collection of the Institute Henri Poincar� (from Mathematics, Art and Science of the Pseudosphere Kenneth Brecher). I was surprised to learn that this fancy surface Kummer's Quartic Surface | Las mejores ofertas y descuentos. Compra online en. Best ebook you must read is Kummer's Quartic Surface, R. W. H. T. Hudson. We are sure you will love the Kummer's Quartic Surface, R. W. H. T. Hudson. Let C be a (smooth projective) curve of gnus 2 and J = J(C) be its Jacobian variety. As is well known the quotient variety J(C)/ 1J is realized as a quartic surface with 16 nodes in P3, called Kummer s quartic. The minimal resolution of J(C)/ 1J is called the Jacobian Kummer surface of C and denoted Km C. Kummer's Quartic Surface (Cambridge Mathematical Library) Hudson, R. W. H. And a great selection of related books, art and collectibles available now at. 6.4. Kummer's. Quartic. Surface. There is a very large variety of quartic surfaces. The maximum number of isolated nodes that a quartic surface can have is 16. Fresnel versus Kummer surfaces: geometrical optics in dispersionless linear (meta)materials and vacuumy of projective geometry a quartic surface that is linked to the Fresnel one. Given an arbitrary dispersionless linear Kummer s quartic surface. Cambridge University Press, Available in: Paperback. The theory of surfaces has reached a certain stage of completeness and major efforts concentrate on solving concrete KUMMER S QUARTICS AND NUMERICALLY REFLECTIVE INVOLUTIONS OF ENRIQUES SURFACES SHIGERU MUKAI Abstract. A (holomorphic) automorphism of an Enriques sur-face S is said to be numerically reﬂective if it acts on the coho-mology group H2(S,Q) reﬂection. Get this from a library! Kummer's quartic surface. [R W H T Hudson] - Many questions involving the theory of surfaces, such as the classification of quartic surfaces, the description of moduli spaces for abelian surfaces, and the automorphism group of a Kummer surface, NUMERICALLY TRIVIAL INVOLUTIONS OF KUMMER TYPE OF AN ENRIQUES SURFACE SHIGERU MUKAI Abstract. There are two types of numerically trivial involutions of an Enriques surface according as their period lattice. One is U(2) U(2)-type and the other is U U(2)-type.

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