Last edited by Maramar
Sunday, July 19, 2020 | History

4 edition of The quartic curve and its inscribed configurations ... found in the catalog.

The quartic curve and its inscribed configurations ...

by Harry Bateman

  • 344 Want to read
  • 36 Currently reading

Published in [Baltimore .
Written in English

    Subjects:
  • Curves, Quartic

  • Edition Notes

    Statementby H. Bateman...
    Classifications
    LC ClassificationsQA567 .B2
    The Physical Object
    Pagination1 p.l., [357]-386 p., 1 l.
    Number of Pages386
    ID Numbers
    Open LibraryOL19338003M
    LC Control Number15003195

    In hyperbolic geometry, the Klein quartic, named after Felix Klein, is a compact Riemann surface of genus 3 with the highest possible order automorphism group for this genus, namely order orientation-preserving automorphisms, and automorphisms if orientation may be reversed. As such, the Klein quartic is the Hurwitz surface of lowest possible genus; see Hurwitz's automorphisms theorem. His first paper Determination of curves satisfying given conditions was written while he was still an undergraduate and it was He did not have the typical CV of a Ph.D. student! His doctoral dissertation was entitled The Quartic Curve and Its Inscribed Configurations and his thesis books and papers bristle with references which are a.

    A plane quartic curve is called Luroth if it contains the ten vertices of a complete pentalateral. White and Miller constructed in a covariant quartic 4-fold, associated to any plane quartic. We review their construction and we show how it gives a computational tool to detect if a plane quartic is Luroth. As a byproduct, the 28 bitangents. An illustration of an open book. Books. An illustration of two cells of a film strip. The quartic curve and its inscribed configurations.. by favorite 0 comment 0. Thesis (Ph. D.)--Johns Hopkins University Topic: Curves, Quartic. Johns Hopkins University Historic Dissertations. 1, K. The effects of cigar and cigarette.

    Klein quartic X is the unique curve of genus 3 over Cwith an automorphism group Gof size , the maximum for its genus. Since Gis central to the story, we begin with a detailed description of Gand its representation on the three-dimensional space V in whose projectivizationP(V)=P2 the Klein quar-. Unfortunately I do not know of any online source, but you can take a look into Cassel's book "Lectures on Elliptic Curves". It will tell you how to go from a quartic to a cubic model of an elliptic curve. edit flag offensive delete link more add a comment. 0. answered


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The quartic curve and its inscribed configurations .. by Harry Bateman Download PDF EPUB FB2

The quartic curve and its inscribed configurations. [Harry Bateman] on *FREE* shipping on qualifying offers. This is a reproduction of a book published before This book may have occasional imperfections such as missing or blurred pages.

Buy The quartic curve and its inscribed configurations by H, Bateman. on FREE SHIPPING on qualified orders The quartic curve and its inscribed configurations by H, Bateman.: Michigan Historical Reprint Series: : Books.

The quartic curve and its inscribed configurations by Harry Bateman; 3 editions; First published in ; Subjects: Quartic Curves. The quartic curve and its inscribed configurations by H, Bateman.

Publication info: Ann Arbor, Michigan: University of Michigan Library Rights/Permissions: These pages may be freely searched and displayed. Permission must be received for subsequent distribution in print or electronically. Page The Quartic Curve and its Inscribed Configurations. BY H. BATEMAN. ~ 1.

Introduction. Whereas the geometry of a planar cubic curve can be regarded as fairly complete, that of the quartic is far from being so. (dissertation) The Quartic Curve and its Inscribed Configurations, American Journal of Mathematics 36(4).

The Mathematical Analysis of Electrical and Optical Wave-motion on the Basis of Maxwell's Equations, Cambridge University Press. Differential equations, Longmans, Green, London, Reprint Chelsea 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.

Many of these questions are touched on in this classic volume: such as the classification of quartic surfaces, the description of moduli spaces for abelian surfaces, and the automorphism group of a Kummer surface.

Prijevodi fraza HIS CURVE s engleskog na hrvatski i primjeri upotrebe riječi "HIS CURVE" u rečenici s njihovim prijevodima: It's his curve.

The quartic curve and its inscribed configurations Book. Jan ; so that it may be applied to possibly singular and/or reducible algebraic curves.

The configuration of theta. Bateman, The quartic curve and its inscribed configurations, Amer. Math. 36 (), Algebraic geometry has benefited enormously from the powerful general machinery developed in the latter half of the twentieth century.

The cost has been that much of the research of previous generations is in a language unintelligible to modern workers, in particular, the rich legacy of classical algebraic geometry, such as plane algebraic curves of low degree, special algebraic surfaces. Abstract. 1 p. L., [] p., 1 L.

31 phy."Reprinted from American journal of mahtematics, vol. XXXVI, no.4, October, "Thesis (PH.D.)--John Hopkins. According to our current on-line database, Harry Bateman has 5 students and descendants. We welcome any additional information.

If you have additional information or corrections regarding this mathematician, please use the update submit students of this mathematician, please use the new data form, noting this mathematician's MGP ID of for the advisor ID. BATEMAN: The Quartic Curve and its Inscribed Configurations.

A transformation which gives rise to a desmic quartic is obtained in this way. The representation also leads to a notable property of a quadratic comll-plex of lines wlliclh all the lines joining five points on a twisted cubic.

Mumford, D.: Theta characteristics on an algebraic curve. Ann. Sci. Norm. Sup. 4 e serie, t.4, – (). Google Scholar. Let F be a rank-2 semi-stable sheaf on the projective plane, with Chern classes c 1 =0,c 2 = curve β F of jumping lines of F, in the dual projective plane, has degree M n be the moduli space of equivalence classes of semi-stable sheaves of rank 2 and Chern classes (0,n) on the projective plane and C n be the projective space of curves of degree n in the dual projective plane.

Download Citation | On the topology of the complements of quartic-line configurations | For a reduced plane curve C and a line L in ℙ 2, we put ℂ L 2:=ℙ 2 -L, and C L:=C-(C∩L).

If C and. Bateman H. The quartic curve and its inscribed configurations. Amer J Math,– MathSciNet zbMATH CrossRef Google Scholar. The real quartic curve VR(E) consists of four ovals and is shown in Fig. Each of the 28 bitangents of the Edge quartic is defined over Q, but the four shown on the right in Fig.

1 are tangent at complex points of the curve. book: 8: OUP* The Quarterly Journal of Mathematics paid subscription required: recent: journal: 9: JSTOR* Quarterly Publications of the American Statistical Association partially paid subscription required, older material free: journal: Michigan: The quartic curve and its inscribed configurations by H, Bateman.

(by. Many free-form object boundaries can be modeled by quartics with bounded zero sets. The fact that any nondegenerate closed-bounded algebraic curve of even degree n=2p can be expressed as the product of p conics, which are real ellipses, plus a remaining polynomial of degree n-2, 12 can be utilized to express a nondegenerate quartic as the product of two leading ellipses plus a third conic.The Eightfold Way The Beauty of Klein's Quartic Curve() This book seeks to explore the rich tangle of properties and theories surrounding the object, Eightfold Way, as well as its esthetic aspects.

Author(s): Silvio Levy.Geometry of quartic curves - Volume Issue 3 - C. T. C. Wall. In recent work [5] which involved enumeration of singularity types of highly singular quintic curves, it was necessary to use rather detailed information on the geometry of quartic curves (for the case when the quintic consists of the quartic and a line).The present paper was written to supply this background.