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arxiv: 1504.05544 · v2 · pith:AZLB7NKGnew · submitted 2015-04-21 · 🧮 math.AG

Degeneration of Linear Series From the Tropical Point of View and Applications

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keywords applicationsgeometrylinearseriessurveytropicalalgebraicarithmetic
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In this survey, we discuss linear series on tropical curves and their relation to classical algebraic geometry, describe the main techniques of the subject, and survey some of the recent major developments in the field, with an emphasis on applications to problems in Brill-Noether theory and arithmetic geometry.

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