Journal Article10.1090/mmono/136
Algebraic geometry
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TL;DR: Algebraic geometry focuses on the properties of algebraic curves and surfaces, including their geometry, topology, and arithmetic.
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Abstract: 5 Divisors 30 5.1 The Picard group . . . . . . . . . . . . . . . . . . . . . . . . . 30 5.2 Automorphisms of Pnk and of A n k . . . . . . . . . . . . . . . . 33 5.3 The degree of the divisor of a rational function on a projective curve . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 5.4 Bezout theorem for curves . . . . . . . . . . . . . . . . . . . . 36 5.5 Riemann–Roch theorem . . . . . . . . . . . . . . . . . . . . . 39 5.6 From algebraic curves to error correcting codes . . . . . . . . . 41
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Citations
Continuum limits of pluri-Lagrangian systems
TL;DR: In this paper, a continuum limit procedure for pluri-Lagrangian systems is presented, where the lattice parameters are interpreted as Miwa variables, describing a particular embedding in continuous multi-time of the mesh on which the discrete system lives.
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