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  2. Algebraic GeometryLectures by Lie Fu Notes by Alexis Marchand ...

    https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/M1-Algebraic-Geometry.pdf
    12 Apr 2019: OUi (Ui) isa noetherian ring for all i I. 20. (ii) X is called noetherian if it is locally noetherian and quasi-compact (in other words, there existsa finite affine open
  3. Advanced AnalysisLectures by Denis Serre Notes by Alexis Marchand ...

    https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/M1-Advanced-Analysis.pdf
    1 Jan 2019: 20. Vocabulary 5.3.3 (Slow growth). A function f C(Rd,K. )is said to have slow growth if every.
  4. Riemann SurfacesLectures by François BrunaultNotes by Alexis Marchand …

    https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/M1-Riemann-Surfaces.pdf
    12 Apr 2019: 20. 5.2 Examples of quotients of Riemann surfacesRemark 5.2.1. Given an action of a discrete group on a Riemann surface which is proper andholomorphic (i.e.
  5. Advanced AlgebraLectures by Laurent BergerNotes by Alexis Marchand…

    https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/M1-Advanced-Algebra.pdf
    6 Jan 2019: 20. (ii) If M is a finitely generated A-module and m1,.
  6. Géométrie DifférentielleCours de Olivier Druet Notes de Alexis…

    https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/M1-Geometrie-Differentielle.pdf
    9 Apr 2019: Géométrie DifférentielleCours de Olivier Druet. Notes de Alexis Marchand. ENS de LyonS2 2018-2019Niveau M1. Table des matières1 Théorie locale des surfaces 2. 1.1 Courbes planes. 21.2 Préhistoire de la théorie des surfaces. 21.3 Première
  7. An introduction to the study of non linear waves ...

    https://www.dpmms.cam.ac.uk/study/III/Introductiontononlinearanalysis/2019-2020/cours-camb.pdf
    25 Nov 2019: Some exponents of the Hardy-Littlewood-Sobolev can also be recovered through Sobolev embedding Theorems, see exercice 4.20. ... 1. 20. 2.2.2 Adjoint operator. Let us recall the notion of adjoint in a Hilbert space which is a direct application of
  8. PROBABILITY AND MEASURE, LECTURES NOTES MICHAELMAS 2019-2020, E.…

    https://www.dpmms.cam.ac.uk/study/II/Probability%2BMeasure/2019-2020/lecture-notes-PM.pdf
    2 Dec 2019: In the early 20-th century, afterLebesgue’s ideas became widespread and accepted (despite some initial criticism)by most mathematicians, people started to understand that they were much moregeneral, that ... c) This follows from the following

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