Sixty-Four Curves of Degree Six
Sign Up to like & getrecommendations! Published in 2019 at "Experimental Mathematics"
DOI: 10.1080/10586458.2017.1360808
Abstract: ABSTRACT We present a computational study of smooth curves of degree six in the real projective plane. In the Rokhlin–Nikulin classification, there are 56 topological types, refined into 64 rigid isotopy classes. We developed software… read more here.
Keywords: curves degree; four curves; sixty four; degree six ... See more keywords
Enumeration of Unicuspidal Curves of Any Degree and Genus on Toric Surfaces
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DOI: 10.1093/imrn/rnab195
Abstract: We enumerate complex curves on toric surfaces of any given degree and genus, having a single cusp and nodes as their singularities, and matching appropriately many point constraints. The solution is obtained via tropical enumerative… read more here.
Keywords: toric surfaces; unicuspidal curves; curves degree; enumeration unicuspidal ... See more keywords