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Strict upper bound for real umbilical points of a general algebraic surface
Real-umbilic bound. The surface $X$ has strictly fewer than
Conjectureopenalgebraic-geometry differential-geometry umbilicsarXiv posted 3 days ago
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Loewner's conjecture on the index of isolated umbilics
The index of an isolated umbilic on a given regular surface is the index of the curvature line flow at that point, and takes values in the set of half-integers. Loewner's conjectur…
Conjectureopendifferential-geometry umbilicsarXiv posted 3 days ago

Strict upper bound for real umbilical points of a general algebraic surface