Journal
MATHEMATISCHE ZEITSCHRIFT
Volume 282, Issue 3-4, Pages 1017-1031Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00209-015-1576-7
Keywords
Tropical geometry; Tropical curves; Algebraic geometry; Plane quartics
Categories
Funding
- NSF [DMS-1201473]
- AMS
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1201473, 1502180] Funding Source: National Science Foundation
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1321794] Funding Source: National Science Foundation
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We study smooth tropical plane quartic curves and show that they satisfy certain properties analogous to (but also different from) smooth plane quartics in algebraic geometry. For example, we show that every such curve admits either infinitely many or exactly 7 bitangent lines. We also prove that a smooth tropical plane quartic curve cannot be hyperelliptic.
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