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

Published 21 Apr 2015 in math.AG | (1504.05544v2)

Abstract: 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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