Atıf İçin Kopyala
Kişisel A. U. Ö., Bayraktar T.
27th Gökova Geometry-Topology Conference, Muğla, Türkiye, 30 Mayıs - 04 Haziran 2022, ss.1
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Yayın Türü:
Bildiri / Özet Bildiri
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Basıldığı Şehir:
Muğla
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Basıldığı Ülke:
Türkiye
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Sayfa Sayıları:
ss.1
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Orta Doğu Teknik Üniversitesi Adresli:
Evet
Özet
Due to a theorem of Passare and Rullgard, the area of the amoeba of a degree d" role="presentation" >d algebraic curve in the complex projective plane is bounded above by π2d2/2" role="presentation" >π2d2/2 and the curves attaining the bound - special Harnack curves - have been characterized by Mikhalkin. In this talk, reporting on joint work with Turgay Bayraktar, I will argue that the expected area of a randomly chosen complex algebraic curve, with respect to the Kostlan distribution, is bounded above by a constant times d" role="presentation" >d. This result also generalizes in a natural way to half dimensional complete intersections in toric varieties with an arbitrary Newton polytope.