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Minimal models for 6-coverings of elliptic curves
https://www.dpmms.cam.ac.uk/~taf1000/papers/minmodels6.html27 May 2014: In this paper we give a new formula for adding 2-coverings and 3-coverings of elliptic curves, that avoids the need for any field extensions. -
The house blog
https://www.dpmms.cam.ac.uk/~mg475/houseblog/sept14.html5 Oct 2014: passes first a small bathroom:. This room looks quite new. I suspect that it used to contain the traditional water tank used in british houses, but. ... And some water damage above the boiler in the kitchen:. Pretty much everywhere one looks, except the -
A COMBINATORIAL IDENTITY by Oscar Randal-Williams Abstract. — We ...
https://www.dpmms.cam.ac.uk/~or257/CombId.pdf2 Oct 2014: A proof of this conjecture would—with the relations of Pandharipande and theauthor [4, 5]—lead to a new proof of the theorems of Morita [3] and Ionel [2] thatthe classes -
Festival.dvi
https://www.dpmms.cam.ac.uk/~twk10/Festival.pdf1 Nov 2014: Most ideas simply do not survive their first brush with reality.The tragic condition of the remainder who then find themselves rejectedbecause they are too new, too old, politically unacceptable or -
Geodesic Polar Coordinates First, let us recall the definition. ...
https://www.dpmms.cam.ac.uk/~jar60/GeometryHandout2.pdf5 Mar 2014: To do this, we define a new map ψp, whose domain is an open subset of TpU.Specifically, we let. -
Mathematical Tripos: Part IB SMP/Lent 2014 Statistics: Example Sheet…
https://www.dpmms.cam.ac.uk/study/IB/Statistics/2013-2014/ex1.pdf24 Jan 2014: Find an injective function h on (0,) such that, writ-ing ψ = h(θ), the maximum likelihood estimator ψ̂ of the new parameter ψ isunbiased. -
A remark on the arithmetic invariant theory of hyperelliptic ...
https://www.dpmms.cam.ac.uk/~jat58/hyperelliptic_orbits.pdf10 Oct 2014: In this way we give a new proof of [BG12b, Proposition11]. ... Springer-Verlag, New York, 1973.Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 73. -
On genus one curves of degree 5 with square-free discriminant
https://www.dpmms.cam.ac.uk/~taf1000/papers/g1squarefree.html18 Jul 2014: We give new formulae for the invariants, and prove the equivalence of two different definitions of minimality. -
Rips Theory.dvi
https://www.dpmms.cam.ac.uk/~hjrw2/Notes/rips.pdf18 Sep 2014: Then a new band complex can be created by replacing fbby fc δC f. ... If possible, choose b to have weight 1. Nowproduce the new band complex X′ as follows. -
WACT 2013 Towards a Notion of Lambda Monoid Martin ...
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2014/tnlm14.pdf2 Jan 2014: widely appreciated. In this paper I present a new take on the structure on the. ... do so. And what about m? The new m = λyzx.xyz also must have a definition. -
Part II Galois theory (2014–2015) Example Sheet…
https://www.dpmms.cam.ac.uk/study/II/Galois/2014-2015/galois-2014-exa-4.pdf2 Dec 2014: For σ Sn define Rσ = txσ(1)u1 xσ(n)un wherethe ui are a new set of variables. -
Cluster algebras and mirror symmetry
https://www.dpmms.cam.ac.uk/~mg475/clusters.pdf1 Aug 2014: New set of cluster variables is {A2, A3}.µ2:. A2A4 = A3 1, or A4 =1A1A2. ... A1A2. New set of cluster variables is {A3, A4}. Mark Gross Cluster algebras and mirror symmetry. -
Lent Term 2014 T.A. Fisher Number Fields: Example Sheet ...
https://www.dpmms.cam.ac.uk/study/II/NumberFields/2013-2014/number_fields-14-1.pdf30 Jan 2014: Use unique factorisation in C[X] to construct a new solution tothis equation involving polynomials of smaller degree. -
MINIMAL MODELS FOR 6-COVERINGSOF ELLIPTIC CURVES TOM FISHER Abstract. …
https://www.dpmms.cam.ac.uk/~taf1000/papers/minmodels6.pdf27 May 2014: Verlag, New York, 1992. [21] R. Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, 52, Springer-Verlag,. ... New York-Heidelberg, 1977. [22] K. Hulek, Projective geometry of elliptic curves, Soc. -
Automorphy lifting for residually reducible l-adic Galois…
https://www.dpmms.cam.ac.uk/~jat58/reducible_lifting.pdf16 Apr 2014: 8 An application to the Fontaine–Mazur conjecture 70. Introduction. In this paper we prove new automorphy lifting theorems for l-adic Galois representations over CM fieldssatisfying a self-duality hypothesis. ... However, there are a number of serious -
ON GENUS ONE CURVES OF DEGREE 5 WITHSQUARE-FREE DISCRIMINANT ...
https://www.dpmms.cam.ac.uk/~taf1000/papers/g1squarefree.pdf18 Jul 2014: We. give new formulae for the invariants, and prove the equivalence of two different. ... Verlag, New York, 1994. University of Cambridge, DPMMS, Centre for Mathematical Sciences, Wilber-. -
TOPICS IN SET THEORY: Example Sheet 4 1 Department ...
https://www.dpmms.cam.ac.uk/study/III/2014-15/TopicsinSetTheory/TST%20Example%20Sheet%204%202014.pdf19 Dec 2014: M[G] , a –sequence is providedby 〈(. G)α : α < ω1〉. For this, noticing that Q adds no new ω –sequences and. -
ON FAMILIES OF 7 AND 11-CONGRUENT ELLIPTIC CURVES TOM ...
https://www.dpmms.cam.ac.uk/~taf1000/papers/congr7and11.pdf15 Apr 2014: In the case n = 7. these are the formulae given in [16], [26], but our method for finding them is new.In the case n = 11 the formulae themselves are new. ... We give a new proof of Theorem 1.1 and then extend to the case n = 11.Although we believe our -
RANKS OF QUADRATIC TWISTS OF ELLIPTIC CURVES by Mark ...
https://www.dpmms.cam.ac.uk/~taf1000/papers/rankcongr.pdf13 Oct 2014: RANKS OF QUADRATIC TWISTS OF ELLIPTIC CURVES. by. Mark Watkins, Stephen Donnelly, Noam D. Elkies, Tom Fisher,Andrew Granville & Nicholas F. Rogers. Abstract. — We report on a large-scale project to investigate the ranks of ellipticcurves in a
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