In algebraic geometry, a Fano variety, introduced by Gino Fano in (Fano 1934, 1942), is an algebraic variety that generalizes certain aspects of complete...

for projective algebraic varieties and complex manifolds. K-stability is of particular importance for the case of Fano varieties, where it is the correct...

elliptic curves, K3 surfaces, and complex Abelian varieties. A complex Fano variety is a complex algebraic variety with ample anti-canonical line bundle (that...

Fano [ˈfaːno] is a town and comune of the province of Pesaro and Urbino in the Marche region of Italy. It is a beach resort 12 kilometres (7 miles) southeast...

that began in April 2023 between the Amhara regional forces along with the Fano militia, and the Ethiopian government. The conflict began after the Ethiopian...

Fano varieties. By definition, a projective variety X is Fano if the anticanonical bundle K X ∗ {\displaystyle K_{X}^{*}} is ample. Fano varieties can...

an algebraic variety Birational geometry Motive (algebraic geometry) Analytic variety Zariski–Riemann space Semi-algebraic set Fano variety Mnëv's universality...

geometry, a Fano fibration or Fano fiber space, named after Gino Fano, is a morphism of varieties whose general fiber is a Fano variety (in other words...

decomposition for Calabi–Yau manifolds. By contrast, not every smooth Fano variety has a Kähler–Einstein metric (which would have constant positive Ricci...

Wadden Sea Islands. Fanø Municipality (Danish: Fanø Kommune) is the kommune that covers the island and its seat is the town of Nordby. Fanø is separated from...