WikiDer > Togliatti yuzasi

Bilan sirt ${ displaystyle w = 1}$ (radiusi = 6 bo'lgan shar bilan chegaralangan haqiqiy nuqtalar).

Yuqoridagi kabi bir xil sirtning 3D modeli (${ displaystyle w = 1}$) kub bilan chegaralangan ${ displaystyle [-10,10] ^ {3}}$

Yilda algebraik geometriya, a Togliatti yuzasi a tugun yuzasi 31 bilan beshinchi daraja tugunlar. Birinchi misollar tomonidan qurilgan Evgenio G. Togliatti (1940). Arno Bovil (1980) bu namunani optimal deb ko'rsatib, 31 bu darajadagi sirt uchun mumkin bo'lgan maksimal tugun sonini isbotladi.

Shuningdek qarang

• Bart yuzasi
• Endrass yuzasi
• Sarti yuzasi
• Algebraik sirtlarning ro'yxati

Adabiyotlar

• Bovil, Arno (1980), "Sur le nombre maximum de points d'une sirt danslarini ikki baravar oshiradi ${ displaystyle mathbf {P} ^ {3} ( mu (5) = 31)}$", Journées de Géometrie Algébrique d'Angers, Juillet 1979 / Algebraic Geometry, Angers, 1979 (PDF) (frantsuz tilida), Alphen aan den Rijn - Jermantaun, MD: Sijthoff & Noordhoff, 207–215 betlar, JANOB 0605342.
• Togliatti, Evgenio G. (1940), "Una notevole superficie di 5^o ordine con soli punti doppi izolyati ", Beyblatt (Festschrift Rudolf Fueter) (PDF), Vierteljschr. Naturforsch. Ges. Tsyurix (italyan tilida), 85, 127-132-betlar, JANOB 0004492.

Tashqi havolalar

• Endraß, Stephan (2003). "Togliatti sirtlari".
• Vayshteyn, Erik V. "Togliatti yuzasi". MathWorld.

Bu algebraik geometriya bilan bog'liq maqola a naycha. Siz Vikipediyaga yordam berishingiz mumkin uni kengaytirish. v t e