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math.AG2015★ 2 cited
Signatures of real algebraic curves via plumbing diagrams
Patrick M. Gilmer, Stepan Yu. Orevkov
We define and calculate signature and nullity invariants for complex schemes for curves in the real projective plane. We use an analog of the Murasugi-Tristram inequality to prohib…
math.AG2005
Arf invariants of real algebraic curves
Patrick M. Gilmer
We give some new congruences for singular real algebraic curves which generalize Fiedler's congruence for nonsingular curves.