Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  briefly discuss the relationship beten several characterizations of the Hasse–Witt invariant of curves in characteristic p with the goal of computing its value in concrete instances.  study its asymptotic behaviour when dealing with the geometric fibres of curves of genus ≥ 2 defined over the rationals. Numerical evidence gathered for several modular curves supports certain conjectural distribution laws.
['Pilar Bayer', 'Josep González']
I am writing a research paper on a idea On the Hasse-Witt invariants of modular curves
[{"from": "human", "value": "I am writing a research paper on a idea On the Hasse-Witt invariants of modular curves"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  briefly discuss the relationship beten several characterizations of the Hasse\u2013Witt invariant of curves in characteristic p with the goal of computing its value in concrete instances.  study its asymptotic behaviour when dealing with the geometric fibres of curves of genus \u2265 2 defined over the rationals. Numerical evidence gathered for several modular curves supports certain conjectural distribution laws."}]