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  2. MINIMISATION OF 2-COVERINGS OF GENUS 2 JACOBIANS TOM FISHER ...

    https://www.dpmms.cam.ac.uk/~taf1000/papers/g2minimise.pdf
    12 Sep 2023: Comb. 24, 235-265 (1997), http://magma.maths.usyd.edu.au/magma/. [CF] J.W.S. Cassels and E.V. Flynn, Prolegomena to a middlebrow arithmetic of curves of genus.
  3. MAT 449: Representation theory These lecture notes are in ...

    https://www.dpmms.cam.ac.uk/~jcsl5/notes.pdf
    24 Oct 2023: The following lemma is immediate from the definition. Lemma 6.24. Let V,W be G-representations. ... By Lemma 6.24, UG = HomG(V,W). By Lemma 6.25, 〈χV ,χW〉 = 〈1,χU〉.
  4. REPRESENTATION THEORY SIMON WADSLEY Contents Lecture 1 21.…

    https://www.dpmms.cam.ac.uk/~sjw47/2023Lectures.pdf
    29 Nov 2023: Topological groups 53Lecture 20 56Lecture 21 58Lecture 22 619. Character table of GL2(Fq) 62Lecture 23 64Lecture 24 67. ... y1 and x2 6= y2 there is g G such thatg x1 = x2 and g y1 = y2.24 Equivalently G has only two orbits on X X.
  5. COMPUTING THE CASSELS-TATE PAIRINGON THE 2-SELMER GROUP OF A ...

    https://www.dpmms.cam.ac.uk/~taf1000/papers/genus2ctp.pdf
    14 Sep 2023: Consider the quadraticforms Qj k[u0,. ,un1] defined by. (24) ξ(u0 u1θ. ... 26) NL/k(a) = det. (TrL/k. (aθiβjf ′(θ). )i,j=0,.,n1. )and (24) is satisfied with.
  6. HX1Lycée Louis le Grand 2015-2016 Chimie Classe de Mathématiques ...

    https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/Chimie-Sup.pdf
    31 Aug 2023: 23II Exemple du fer. 23III Exploitation d’un diagramme potentiel-pH. 24. ii. ... 24. CHAPITRE 9. DIAGRAMMES POTENTIEL-pH. 0 5 10 15. 0.5. 0.
  7. 22 Aug 2023: 18. 2.2 Classical small-cancellation theory. 222.2.1 Rips’ exact sequence. 24. 3 A cubical Rips construction 273.1 Introduction. ... Example 2.1.24. Let S̃ = H2 be be the universal cover of a closed surface S with negative Eulercharacteristic, and let
  8. 6 Mar 2023: 2.24]. This is a contraction of edges on the underlying graphs, and the additionaldata satisfies some relations as follows. ... 3.24].This means that there are local descriptions of these stacks as unions of strata of toricvarieties.
  9. Automata & Formal LanguagesMichaelmas Term 2023 Part II of ...

    https://www.dpmms.cam.ac.uk/study/II/AutomataAndFormalLanguages/2023-2024/M23_AFL_ES2.corrected.pdf
    23 Oct 2023: 24) Give a context-free grammar in Chomsky normal form for the languages {amb2mck ; m, k 1} and{ambkam ; m, k 1}.
  10. EQUIVARIANT LINE BUNDLES WITH CONNECTION ON THE p-ADIC UPPER ...

    https://www.dpmms.cam.ac.uk/~sjw47/Drinfeld-I.pdf
    14 Sep 2023: 2.3. Quaternions. We use [24, 1.4] and [23] as basic references for this material.By [23, Proposition 12.5b, Theorem 17.10] there is a central division algebra Dover ... contained in the intersection given in the statement. By a result of Riehm [26],
  11. GLOBAL SECTIONS OF EQUIVARIANT LINE BUNDLES ON THE p-ADIC ...

    https://www.dpmms.cam.ac.uk/~sjw47/Drinfeld.pdf
    20 Dec 2023: GLOBAL SECTIONS OF EQUIVARIANT LINE BUNDLES ON. THE p-ADIC UPPER HALF PLANE. KONSTANTIN ARDAKOV AND SIMON WADSLEY. Abstract. Let F be a finite extension of Qp, let F be Drinfeld’s upper half-plane over F and let G0 the subgroup of GL2(F )
  12. Partial Solutions for Exercises inWhere do Numbers Come From? ...

    https://www.dpmms.cam.ac.uk/~twk10/Ansnumber.pdf
    7 Jan 2023: 24. Exercise 3.2.6. (i) a 1 = a 1 so (a, a) (1, 1) and [a, a] = [1, 1].Using the associative law of addition, (a 1) 1 = a (1
  13. Modular curves and Ne19 eron models of generalized Jacobians

    https://www.dpmms.cam.ac.uk/~ajs1005/preprints/neronfinal.pdf
    10 Feb 2023: Some of our results in this case are then subsumedby the works [24–26] on Picard schemes of semifactorial curves.
  14. HX1Lycée Louis le Grand 2015-2016 Physique Classe de Mathématiques ...

    https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/Physique-Sup.pdf
    31 Aug 2023: 93III Action d’un champ magnétique sur un moment magnétique. 94. 24 Induction 97I Lois de l’induction. ... R2. Req. Vocabulaire 6.24. On dit que le pont est équilibré lorsque la tension aux bornes de ()est nulle.
  15. Department of Pure Mathematics and Mathematical Statistics

    https://www.dpmms.cam.ac.uk/study/II/RepresentationTheory/previous.html
    17 Oct 2023: Example sheet 3 updated Jan 24, 2011.
  16. Geometric inverse problems with emphasis on two dimensions Gabriel ...

    https://www.dpmms.cam.ac.uk/~gpp24/GIP2D_driver.pdf
    1 Feb 2023: Geometric inverse problems. with emphasis on two dimensions. Gabriel P. Paternain, Mikko Salo, Gunther Uhlmann. iii. To our families and all who have supported us. This material has been published by Cambridge University Press & Assessment
  17. INDEPENDENCE OF ` FOR FROBENIUS CONJUGACY CLASSES ATTACHED TO ...

    https://www.dpmms.cam.ac.uk/~rz240/l-indep_v2.pdf
    23 Jan 2023: INDEPENDENCE OF FOR FROBENIUS CONJUGACY. CLASSES ATTACHED TO ABELIAN VARIETIES. MARK KISIN AND RONG ZHOU. Abstract. Let A be an abelian variety over a number field E C and let Gdenote the Mumford–Tate group of A. After replacing E by a finite
  18. Number Fields IID, Lent 2020* Comments/corrections to…

    https://www.dpmms.cam.ac.uk/~ajs1005/nf2d/number_fields_notes.pdf
    1 Feb 2023: 24. Proposition 11.3. If R |dK|1/2, there are infinitely many elements of oK withNK/Q(α) R.Let’s assume this.
  19. HX1Lycée Louis le Grand 2015-2016 Mathématiques Classe de…

    https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/Mathematiques-Sup.pdf
    31 Aug 2023: Proposition 1.24 (Linéarisation de cosn θ). n N, θ R. cosn θ =(eiθ eiθ. ... Proposition 3.24. L’applicationP(E) {0, 1}. E. A 7 1Aest une bijection.
  20. MP∗2Lycée Louis le Grand 2016-2017 Mathématiques Classe de…

    https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/Mathematiques-Spe.pdf
    31 Aug 2023: 24 Anneaux 126I Généralités. 126II L’anneau Z/nZ. 127III Caractéristique d’un corps. ... Alors XY Z (XY. )Z. Proposition 6.24. C0 (R,R) R. Démonstration.
  21. Proofs for some results inTopics in Analysis T. W. ...

    https://www.dpmms.cam.ac.uk/study/II/TopicsinAnalysis/2023-2024/Caesar.pdf
    25 Oct 2023: 2 =. 11. 1 dx =nj=1. Aj. 24. (iii) We have 11f(x) dx.

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